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Physics Summary & Homework Amarjit Soni HET, BNL ([email protected]) Super-B’05@Hawaii

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Physics Summary & Homework. Amarjit Soni HET, BNL ([email protected]) Super-B’05@Hawaii. Topics. I. Possible sightings of New Physics 1) b->s penguin dominated modes 2) B-> A π K… II. Potential use of semi-inclusive hadronic modes for NP search - PowerPoint PPT Presentation

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  • Physics Summary & Homework

    Amarjit SoniHET, BNL([email protected])

    Super-B05@Hawaii

    Physics Summary SBF'05 Hawaii

  • TopicsI. Possible sightings of New Physics1) b->s penguin dominated modes

    2) B-> A K

    II. Potential use of semi-inclusive hadronic modes for NP search

    III. Radiative Decays: Br`s, DIRCP, MIXCP

    IV. Direct extraction of UT

    Olsen, Mishima,Smith,Hou, MishimaX-G HeHulsbergen,Mitov,NishidaAtwood,GritsanDatta,Zupan

  • Other topicsG. Eigen: Y.OkadaT. IijimaN.SatohH. Paes (Apologies if I missed yours) Extremely instructive ~25 talks! I learned a lot!

  • Lumi. Benchmarx[0.2, 2, 10]/abImpt. Things LHCbMay not b able 2 doExptal inputsThat may helpTheory (models)

    Physics Summary SBF'05 Hawaii

  • Possible sightings of exotic b->s PenguinsCurrent state of theory

    Current state of expt.

    Summary: For KS [,], S>0.10 is very difficultto accommodate in the SMSummary:For KS there is about 2 to 2.7 deviation,So it is rather marginal.Does this mean we should forget about it?emphatically, no. In fact, experimentalists (or group) may easily get burnt by ignoring it!

    We can and must try to get to the bottom of this as quickly as possible

    Physics Summary SBF'05 Hawaii

  • Physics Summary SBF'05 Hawaii

  • Null Test(s)

    In light of B-factory results (existing exptal info+lattice+phenomenology)-> deviations from CKM-paradigm due BSM-CP-odd phase(s) are likely to be small-> should develop Null TestsSince CP is not an exact symmetry of SM->No EXACT NULL TESTS-> Need Approximate Null Tests (ANTs).In b->s transitions, penguin-dominated B-decays are a powerful ANTW(worthiness)=C(cleanliness) X S(sensitivity)=4.5* X 5* ANT: In large class of modes such as (0,,,,,f0,K0K0)K0 , (penguin/Total) ~ 1 -> Sf ~0Summary of early (London + AS, PLB97) study.Sf < 0.1 in the SM (for modes discussed therein)Summary of Recent Reaxmination (Cheng,Chua+AS,hepph/0502235.) , Sf > 0.1 most likely due BSM-CP-odd phase (for many modes)

  • Physics Summary SBF'05 Hawaii

  • 10192

  • Browder&A.S,hep-ph/04

  • Iijima

    Physics Summary SBF'05 Hawaii

  • Glmpses from a few theoretical studiesI. London &A.S.PLB97use nave quark model to suggest S=0 + O(few%) for B->KS[,,,,,];but, in view of hadronic uncertainties advocate S>0.1 may be problematic for the CKM-paradigm.Note, paper was basically motivated by the huge Br of KS discovered @ CLEOII 1) Mishima & Li (pQCD) KS[,] very clean..[How about ??] 2)Beneke&Neubert(hep-ph/0308039) use QCDF in their study main conclusion: KS[,] are the cleanest modes with smallest S & smallest uncertainties 3)Cheng,Chua,A.S. [QCDF+FSI], KS is cleanest; KS is also very clean.

    Physics Summary SBF'05 Hawaii

  • Physics Summary SBF'05 Hawaii

  • Physics Summary SBF'05 Hawaii

  • A possible complications: large FSI phases in 2-body B decays

    The original papers predicting Sf=Sf - SK ~0 used nave factorization ideas; in particular FSI were completely ignored.A remarkable discovery of the past year is that directCP in charmless 2-body modes is very large->(LD)FS phases in B-decays need not be smallSINCE THESE ARE INHERENTLYNon-perturbative model dependence becomesunavoidable

  • Physics Summary SBF'05 Hawaii

  • FSI as rescattering of intermediate two-body states [HYC, Chua, Soni]

    FSIs via resonances are assumed to be suppressed in B decays due to the lack of resonances at energies close to B mass. FSI is assumed to be dominated by rescattering of two-body intermediate states with one particle exchange in t-channel. Its absorptive part is computed via optical theorem:

    Strong coupling is fixed on shell. For intermediate heavy mesons, apply HQET+ChPT (for soft Goldstone boson) Form factor or cutoff must be introduced as exchanged particle is off-shell and final states are hard Alternative: Regge trajectory [Nardulli,Pham][Falk et al.] [Du et al.]

  • Physics Summary SBF'05 Hawaii

  • Cheng,Chua,A.S.Hep-ph/0502235

    1.Note in SD, S switches sign bet. , for us no change2. LD rescattering effects on S & C are highly correlated and similarlyCs of isospin partners are correlated -> many testable predictions,e.gLARGE (13%)DIR CP for KS & HUGE for KS (~ -46%)

  • HWT: Ks in pQCD?

    Physics Summary SBF'05 Hawaii

  • Expectations for S in the SM

    Mode pQCD(SM ) QCDF(MB) QCDF+FSI(CCS)

    KS .01(.01,-.01) .00(.00,-.04)

    KS ..020(.004,-.008) .02(.01,-.01) .03(.01,-.04)

    KS .009(.001,-.003) .07(.05,-.04) .04(.02,-.03)

  • J.Smith@SBF05Will answer thisLater in own wayC later

    Physics Summary SBF'05 Hawaii

  • J.Smith@CKM05

    Physics Summary SBF'05 Hawaii

  • Physics Summary SBF'05 Hawaii

  • Averaging issue:Are we makinga mountain outa anthill?

    I am rather sceptical and concerned aboutaveraging over many small deviations,leading to ~3.7 .On the other hand,

    London&A.S,hep-ph/9704277

  • Although, at the moment it is at best a marginal effect, it may well become a serious blunder on the partof experimentalists to ignore it!We can try learn some lessons from history.It is extremely important to understandthat basically it is a very good test of the SM andtheoretically it can be further improved

    Physics Summary SBF'05 Hawaii

  • Christenson,Hicks,Lederman,Limon,Pope & ZavattiniPRD 8,2016 72

    Physics Summary SBF'05 Hawaii

  • Macfarlane@SBF05

    Physics Summary SBF'05 Hawaii

  • Projections for Super B Factory

    f0KSKSp0jKShKSKKKS

    K*g

    5s discovery region if non-SM physics is effect of 0.15

    Super B Factory 5-7x1035 cm-2s-1

    Projections are statistical errors only; but systematic errors at few percent level

    Luminosity expectations:

    2012

    2004

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    LHCb Tagged pipi

    LHCb Sigma(A_mix)

    BTEV Tagged pipi

    BTEV Sigma(A_mix)

    10^36 Tagged pipi

    10^36 Sigma(A_mix)

    2x10^35 Tagged pipi

    2x10^35 Sigma(A_mix)

    0.6x10^35 Sigma(A_mix)

    0.6x10^35 Tagged pipi

    Chart tagged sample

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    LHCb Tagged pipi

    BTEV Tagged pipi

    10^36 Tagged pipi

    2x10^35 Tagged pipi

    0.6x10^35 Tagged pipi

    Chart Errors

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    100010000.13118079280.13118079280.1311807928

    100010000.13118079280.13118079280.1311807928

    100010000.13066527420.13066527420.1306652742

    100010000.12856548950.12856548950.1285654895

    100010000.1269207820.1269207820.126920782

    1.367414629410000.12533762250.12533762250.1253376225

    0.966908157210000.12300982560.12300982560.1230098256

    0.789477204410000.12057254540.12057254540.1205725454

    0.683707314710000.11835038170.11835038170.1183503817

    0.61152641310000.11617493070.11617493070.1161749307

    0.558244684810000.11435955780.11435955780.1143595578

    0.516834149810000.11257229210.11257229210.1125722921

    0.483454078610000.11257229210.11257229210.1125722921

    0.455804876510000.11257229210.11257229210.1125722921

    0.432414473510000.11224600290.11224600290.1122460029

    0.412291023510000.11090649250.11090649250.1109064925

    0.394738602210000.10984549170.10984549170.1098454917

    0.379252581610000.10881437020.10881437020.1088143702

    0.365456932110000.1072806960.1072806960.107280696

    0.353064939110000.10565239920.10565239920.1056523992

    0.341853657410000.10414769860.10565239920.1056523992

    0.331646761810000.10265598820.10565239920.1056523992

    0.322302719110000.10139703950.10565239920.1056523992

    0.313706430710000.10014499420.10565239920.1056523992

    0.305763206510000.10014499420.10565239920.1056523992

    0.298394335510000.10014499420.10565239920.1056523992

    0.291533778510000.10014499420.10565239920.1056523992

    0.285125660210000.10014499420.10565239920.1056523992

    0.279122342410000.10014499420.10565239920.1056523992

    0.26817207230.52366600710.10014499420.10565239920.1056523992

    0.25841707490.37028778470.10014499420.10565239920.1056523992

    0.24965461270.30233871010.10014499420.10565239920.1056523992

    0.24172703930.26183300350.10014499420.10565239920.1056523992

    0.23450967420.23419055790.10014499420.10565239920.1056523992

    0.22790243820.21378575220.10014499420.10565239920.1056523992

    0.22182394450.19792714640.10014499420.10565239920.1056523992

    0.21620723670.18514389230.10014499420.10565239920.1056523992

    0.21099665810.17455533570.10014499420.10565239920.1056523992

    0.20614551180.16559773160.10014499420.10565239920.1014248682

    0.20161428780.15789124190.10014499420.10565239920.0976673179

    0.19736930110.15116935510.10014499420.10565239920.0942986602

    0.19338163140.14523881840.10014499420.10565239920.0912561322

    0.18962629080.13995562740.10014499420.10565239920.0884902943

    0.18608156160.13520998160.10014499420.10565239920.085961601

    0.1827284660.13091650180.10014499420.10565239920.0836379924

    0.17955033720.12700766230.10014499420.10565239920.081493166

    0.17653246960.12342926160.10014499420.10565239920.079505312

    0.17366183160.12013722130.10014499420.10565239920.079505312

    0.17092682870.11709527890.10014499420.10565239920.079505312

    0.16831710550.11427329130.10014499420.10565239920.079505312

    0.16582338090.11164596780.08939863380.09887305610.0759303301

    0.16343730860.10919191060.0815041710.09325092490.0727979334

    0.16115135950.10689287610.0753888330.08849029430.0700237434

    0.15895872190.10269935340.07047124820.0843914680.0675443114

    0.15685321540.09896357320.06640539540.08081407370.0653108846

    0.15482921810.09560789490.06297075960.07765617230.0632853003

    0.15288160320.09257194620.06001927980.07484170720.0614372009

    0.15100568430.08980797930.05744735960.07231262510.0597420948

    0.14919716780.08727766780.05518005120.07002374340.0581799746

    0.14745211160.08494984390.05518005120.07002374340.0581799746

    0.14576688930.08279886580.05518005120.07002374340.0581799746

    0.14413815780.08080341920.05518005120.07002374340.0581799746

    0.14256283010.0789456210.05134961410.0660305650.0567343144

    0.14103805010.07721034050.04822005580.06265086160.0553913274

    0.13956117120.07558467750.04560078130.05974209480.0541394086

    0.13812973670.07405755690.04336666480.05720416180.0529687103

    0.13674146290.07261940920.04143171110.05496442140.0518708136

    0.13539422360.07126191740.03973460850.05296871030.0508384731

    0.13408603610.06997781370.0382303080.0511757080.049865414

    0.13281504980.06876071540.0368848670.04955326940.0489461716

    0.13157953410.06760499080.03567215940.04807596140.0480759614

    0.13037786930.06650564940.03567215940.04807596140.0480759614

    0.12920853740.06545825090.03567215940.04807596140.0480759614

    0.1280701140.06445882960.03567215940.04807596140.0480759614

    0.1269612610.06350383120.03415918440.04672336190.0472505739

    0.125880720.06259005930.03282371220.04547885810.0464662887

    0.12482730630.06171463080.03163354590.0443287790.0457198041

    0.12379990360.06087493680.03056411260.04326175790.0450081779

    0.12279745880.06006861070.029596290.04226825580.044328779

    0.12181897740.05929349930.02871494370.04134020030.0436792462

    0.12086351960.05854763950.0279079180.04047070780.0430574534

    0.11993019660.05782923630.02716532240.03965386720.0424614809

    0.11901816670.05713664560.02647901630.03888457070.0418895896

    0.11812663230.05646835780.02647901630.03888457070.0418895896

    0.11725483710.05582298390.02647901630.03888457070.0418895896

    0.11640206340.05519924390.02647901630.03888457070.0418895896

    0.11556762920.05459595530.02584222960.0381583780.0413402003

    0.11475088660.05401202460.02524928030.03747140870.0408118752

    0.11395121910.0534464380.02469535880.03682025450.0403033016

    0.11316803990.0528982550.02417636360.03620190770.0398132787

    0.11240079020.05236660070.02368877210.03561370270.0393407057

    0.1116489370.0518506610.02322953990.03505326790.0388845707

    0.11091197220.05134967670.02279602050.03451848450.0384439424

    0.1101894110.05086293890.02238590050.03400745380.0380179616

    0.109480790.0503897850.02199714810.03351846790.0376058345

    0.10878566690.04992959470.02199714810.03351846790.0376058345

    0.10810361840.04948178660.02199714810.03351846790.0376058345

    0.10743423970.04904581520.02199714810.03351846790.0376058345

    0.10677714340.04862116810.02162796990.03304998610.0372068259

    0.10613195830.04820736340.02127677660.03260061430.0368202545

    0.10549832910.04780394740.02094215380.03216908780.0364454871

    0.10487591460.04741049260.02062283820.03175425580.0360819352

    LHCb Sigma(A_mix)

    BTEV Sigma(A_mix)

    10^36 Sigma(A_mix)

    2x10^35 Sigma(A_mix)

    0.6x10^35 Sigma(A_mix)

    Chart All S Errors 7x10^35

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.30830080690.44665233860.17896238780.21731147080.3958743762

    0.3068632510.44665233860.17896238780.21731147080.3958743762

    0.30158180260.44456967240.17812791560.21629818330.3940284792

    0.29327882430.43691814760.17506214160.21257545760.387246823

    0.28688901260.42488916610.17024243050.20672295130.3765853642

    0.28197869610.41563189440.16653327390.20221897550.3683805115

    0.27358200040.40851804880.16368293440.1987578490.362075408

    0.26416138510.39635329380.15880882220.19283928410.3512936111

    0.25529445560.38270513020.15334034550.18619899090.3391970479

    0.24745317840.36985912160.14819327210.17994897320.3278114462

    0.24020536080.3584990320.14364156910.17442190540.3177428357

    0.23193576030.34799871990.13943435750.16931314840.3084362585

    0.23193576030.33601809480.13463402150.1634841690.2978176586

    0.23193576030.33601809480.13463402150.1634841690.2978176586

    0.23155621150.33601809480.13463402150.1634841690.2978176586

    0.22885909890.33546822150.13441370110.16321663710.297330298

    0.22481106180.33156076620.13284808180.16131552790.2938670643

    0.21982782210.32569615210.1304982780.15846219480.2886691727

    0.21388245140.31847665860.12760560810.1549496670.282270432

    0.20733346980.30986327310.12415444060.15075896360.2746362648

    0.20110295280.30037540320.12035288910.14614279390.2662270296

    0.19477966360.29134891050.11673619990.14175109990.2582267196

    0.18953459660.28218801350.11306565830.13729401360.2501072851

    0.18953459660.27458919650.11002100290.13359693210.2433723446

    0.18953459660.27458919650.11002100290.13359693210.2433723446

    0.18953459660.27458919650.11002100290.13359693210.2433723446

    0.18953459660.27458919650.11002100290.13359693210.2433723446

    0.18953459660.27458919650.11002100290.13359693210.2433723446

    0.18953459660.27458919650.11002100290.13359693210.2433723446

    0.18878637980.27458919650.11002100290.13359693210.2433723446

    0.18517382280.27350521360.10958667820.13306953780.242411595

    0.17989043540.26827150350.10748966180.13052316080.2377728827

    0.17489200780.26061716960.10442276230.12679906850.2309887367

    0.16985705610.25337567260.1015212760.12327583520.224570494

    0.16554373840.2460812610.09859858830.11972685720.2181053524

    0.16120675420.23983232040.09609479450.11668653620.2125668266

    0.16120675420.23354909290.09357726290.11362953350.206997912

    0.16120675420.23354909290.09357726290.11362953350.206997912

    0.16025704320.23354909290.09357726290.11362953350.206997912

    0.1568101430.23217319430.09302597480.11296011230.2057784333

    0.15427156540.22717948040.0910251190.11053050160.201352433

    0.15179905330.22350170330.08955152590.10874113860.1980927664

    0.14812356660.2199196390.08811628260.10699834320.1949179314

    0.14418579840.21459475930.08598273690.10440760910.1901984141

    0.14054625620.20888989790.0836969420.1016320010.1851421136

    0.136982560.20361709290.08158426130.09906660310.1804687509

    0.13403343020.19845417020.07951560770.09655466650.1758927784

    0.13118079280.19418160360.07780369750.09447591840.1721059414

    0.13118079280.19004883080.07614779910.09246518460.1684430055

    0.13118079280.19004883080.07614779910.09246518460.1684430055

    0.13066527420.19004883080.07614779910.09246518460.1684430055

    0.12856548950.18930197060.0758485510.09210181190.1677810526

    0.1269207820.18625989710.07462966840.09062174020.1650848192

    0.12533762250.18387711890.0736749490.0894624380.1629729287

    0.12300982560.18158350860.07275595690.0883465190.160940069

    0.12057254540.17821110120.07140471780.08670572880.157951056

    0.11835038170.17468007930.06998992590.08498776720.1548214606

    0.11617493070.17146070840.06870000480.08342143440.151968086

    0.11435955780.1683090130.06743719940.08188802790.1491746931

    0.11257229210.16567898230.06638341210.0806084290.1468436592

    0.11257229210.16308967220.06534594050.07934864210.1445487164

    0.11257229210.16308967220.06534594050.07934864210.1445487164

    0.11224600290.16308967220.06534594050.07934864210.1445487164

    0.11090649250.16261695910.06515653620.07911865120.144129744

    0.10984549170.16067633680.06437897760.07817447270.1424097426

    0.10881437020.15913920640.0637630880.07742660690.141047362

    0.1072806960.1576453640.06316454280.0766998020.139723348

    0.10565239920.15542344590.0622742760.07561876370.1377540301

    0.10414769860.15306444270.06132908260.07447102880.1356632117

    0.10265598820.15088450020.06045563430.0734104130.1337310974

    0.10139703950.14872337730.05958972650.07235895370.1318156632

    0.10014499420.1468994690.05885893220.07147156060.130199107

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.10014499420.14508556210.05813214520.07058903350.1285914154

    0.08939863380.14508556210.05813214520.07058903350.1285914154

    0.0815041710.12951671860.05189410020.06301426450.114792526

    0.0753888330.11807957620.04731152410.05744970790.1046556225

    0.07047124820.10921994950.0437616940.05313919980.0968032084

    0.06640539540.1020955740.04090713540.04967295010.0904887721

    0.06297075960.09620514940.038546990.04680705930.0852680042

    0.06001927980.09122920350.03655325330.04438609340.080857752

    0.05744735960.08695323230.0348399790.04230568870.0770678974

    0.05518005120.083227150.03334703120.04049282360.0737654172

    0.05518005120.07994237570.03203090460.03889466990.0708540746

    0.05518005120.07994237570.03203090460.03889466990.0708540746

    0.05518005120.07994237570.03203090460.03889466990.0708540746

    0.05134961410.07994237570.03203090460.03889466990.0708540746

    0.04822005580.07439301080.02980741330.03619471610.0659355928

    0.04560078130.06985904740.02799076790.03398878960.0619170761

    0.04336666480.06606436040.0264703320.0321425460.0585537905

    0.04143171110.06282767290.02517347250.0305677880.0556850679

    0.03973460850.0600243990.0240502710.02920390040.053200486

    0.0382303080.05756571310.02306513720.02800766660.0510213175

    0.0368848670.05538635030.02219192120.02694733290.049089717

    0.03567215940.05343713580.02141091980.02599897410.0473621002

    0.03567215940.05168021960.02070696760.02514417490.0458049201

    0.03567215940.05168021960.02070696760.02514417490.0458049201

    0.03567215940.05168021960.02070696760.02514417490.0458049201

    0.03415918440.05168021960.02070696760.02514417490.0458049201

    0.03282371220.04948828950.01982871620.02407772680.043862181

    0.03163354590.04755351760.01905350160.02313639480.0421473649

    0.03056411260.0458292580.01836263410.02229748420.040619129

    0.029596290.04427991130.01774184970.02154367460.0392459207

    0.02871494370.04287777350.01718004820.02086148710.0380031858

    0.0279079180.04160091850.01666844450.0202402540.0368714909

    0.02716532240.0404317360.01619998240.01967140720.0358352277

    0.02647901630.03935589690.01576892070.01914797510.0348816961

    0.02647901630.03836160750.01537053380.01866421960.0340004431

    0.02647901630.03836160750.01537053380.01866421960.0340004431

    0.02647901630.03836160750.01537053380.01866421960.0340004431

    0.02584222960.03836160750.01537053380.01866421960.0340004431

    0.02524928030.03743905960.0150008920.01821536890.0331827757

    0.02469535880.03658002130.01465669690.01779741770.0324213977

    0.02417636360.03577752480.01433515670.0174069760.0317101336

    0.02368877210.03502562790.01403389050.01704115270.0310437165

    0.02322953990.03431922730.01375085350.01669746490.0304176235

    0.02279602050.03365391230.01348427850.01637376670.0298279454

    0.02238590050.03302584890.01323262920.01606819260.0292712837

    0.02199714810.03243168560.01299456290.0157791120.0287446682

    0.02199714810.03186847850.01276889990.01550509280.0282454897

    0.02199714810.03186847850.01276889990.01550509280.0282454897

    0.02199714810.03186847850.01276889990.01550509280.0282454897

    0.02162796990.03186847850.01276889990.01550509280.0282454897

    0.02127677660.03133362980.01255459940.01524487080.0277714456

    0.02094215380.03082483670.01235073880.01499732570.0273204951

    0.02062283820.03034005030.01215649710.01476146070.0268908219

    423700.02987744010.01197114080.01453638520.0264808039

    S(phiKS)

    S(KSpi0)

    S(eta^KS)

    S(KKKS)

    S(f0KS)

    Chart All S Errors 7x10^35 Road

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31957569240.38349083090.17896238780.21731147080.3958743762

    0.31808556360.38349083090.17896238780.21731147080.3958743762

    0.31261096710.38170267640.17812791560.21629818330.3940284792

    0.30400434010.37513316060.17506214160.21257545760.387246823

    0.29738084630.36480520810.17024243050.20672295130.3765853642

    0.29229095440.35685701560.16653327390.20221897550.3683805115

    0.28358718260.35074914520.16368293440.1987578490.362075408

    0.27382204550.34030461910.15880882220.19283928410.3512936111

    0.2646308430.32858645460.15334034550.18619899090.3391970479

    0.2565028020.31755701160.14819327210.17994897320.3278114462

    0.24898992410.30780336240.14364156910.17442190540.3177428357

    0.24041789560.29878790890.13943435750.16931314840.3084362585

    0.24041789560.28850147470.13463402150.1634841690.2978176586

    0.24041789560.28850147470.13463402150.1634841690.2978176586

    0.24002446630.28850147470.13463402150.1634841690.2978176586

    0.23722871750.28802935950.13441370110.16321663710.297330298

    0.23303263940.2846744610.13284808180.16131552790.2938670643

    0.22786715730.27963916720.1304982780.15846219480.2886691727

    0.22170435820.27344058870.12760560810.1549496670.282270432

    0.21491587340.26604522980.12415444060.15075896360.2746362648

    0.20845749980.25789904810.12035288910.14614279390.2662270296

    0.20190296120.25014899980.11673619990.14175109990.2582267196

    0.19646607670.24228355350.11306565830.13729401360.2501072851

    0.19646607670.2357592920.11002100290.13359693210.2433723446

    0.19646607670.2357592920.11002100290.13359693210.2433723446

    0.19646607670.2357592920.11002100290.13359693210.2433723446

    0.19646607670.2357592920.11002100290.13359693210.2433723446

    0.19646607670.2357592920.11002100290.13359693210.2433723446

    0.19646607670.2357592920.11002100290.13359693210.2433723446

    0.19569049670.2357592920.11002100290.13359693210.2433723446

    0.19194582470.23482859610.10958667820.13306953780.242411595

    0.18646921830.23033498970.10748966180.13052316080.2377728827

    0.18128799290.2237630620.10442276230.12679906850.2309887367

    0.17606890770.21754559150.1015212760.12327583520.224570494

    0.17159784740.21128268920.09859858830.11972685720.2181053524

    0.16710225520.20591741690.09609479450.11668653620.2125668266

    0.16710225520.20052270620.09357726290.11362953350.206997912

    0.16710225520.20052270620.09357726290.11362953350.206997912

    0.16611781220.20052270620.09357726290.11362953350.206997912

    0.16254485530.19934137470.09302597480.11296011230.2057784333

    0.15991343920.19505382640.0910251190.11053050160.201352433

    0.15735050470.1918961270.08955152590.10874113860.1980927664

    0.15354060160.18882060570.08811628260.10699834320.1949179314

    0.14945882510.1842487220.08598273690.10440760910.1901984141

    0.1456861810.17935059010.0836969420.1016320010.1851421136

    0.14199215670.17482341720.08158426130.09906660310.1804687509

    0.13893517410.1703905880.07951560770.09655466650.1758927784

    0.13597821270.16672220890.07780369750.09447591840.1721059414

    0.13597821270.16317385520.07614779910.09246518460.1684430055

    0.13597821270.16317385520.07614779910.09246518460.1684430055

    0.1354438410.16317385520.07614779910.09246518460.1684430055

    0.1332672650.16253260920.0758485510.09210181190.1677810526

    0.13156240890.1599207180.07462966840.09062174020.1650848192

    0.12992135150.15787489060.0736749490.0894624380.1629729287

    0.12750842470.15590562180.07275595690.0883465190.160940069

    0.12498201050.15301010960.07140471780.08670572880.157951056

    0.12267857990.14997841260.06998992590.08498776720.1548214606

    0.12042357040.14721429590.06870000480.08342143440.151968086

    0.11854180740.14450828450.06743719940.08188802790.1491746931

    0.11668917950.14225016890.06638341210.0806084290.1468436592

    0.11668917950.14002701540.06534594050.07934864210.1445487164

    0.11668917950.14002701540.06534594050.07934864210.1445487164

    0.11635095760.14002701540.06534594050.07934864210.1445487164

    0.11496245990.13962114910.06515653620.07911865120.144129744

    0.11386265710.13795495190.06437897760.07817447270.1424097426

    0.11279382640.13663518860.0637630880.07742660690.141047362

    0.11120406420.13535259170.06316454280.0766998020.139723348

    0.10951621880.13344487710.0622742760.07561876370.1377540301

    0.10795648980.13141946260.06132908260.07447102880.1356632117

    0.1064102260.12954778770.06045563430.0734104130.1337310974

    0.10510523610.12769227120.05958972650.07235895370.1318156632

    0.10380740220.12612628330.05885893220.07147156060.130199107

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.10380740220.12456888270.05813214520.07058903350.1285914154

    0.09266803610.12456888270.05813214520.07058903350.1285914154

    0.08448486450.11120164330.05189410020.06301426450.114792526

    0.07814588210.10138183740.04731152410.05744970790.1046556225

    0.07304845610.09377505850.0437616940.05313919980.0968032084

    0.06883391080.08765814730.04090713540.04967295010.0904887721

    0.06527366670.08260069290.038546990.04680705930.0852680042

    0.06221424810.07832840.03655325330.04438609340.080857752

    0.05954827010.07465709780.0348399790.04230568870.0770678974

    0.05719804390.07145792410.03334703120.04049282360.0737654172

    0.05719804390.06863765270.03203090460.03889466990.0708540746

    0.05719804390.06863765270.03203090460.03889466990.0708540746

    0.05719804390.06863765270.03203090460.03889466990.0708540746

    0.05322752370.06863765270.03203090460.03889466990.0708540746

    0.04998351410.06387302840.02980741330.03619471610.0659355928

    0.047268450.05998021690.02799076790.03398878960.0619170761

    0.04495262940.056722140.0264703320.0321425460.0585537905

    0.04294691240.05394315530.02517347250.0305677880.0556850679

    0.0411877450.05153629490.0240502710.02920390040.053200486

    0.03962843070.0494252940.02306513720.02800766660.0510213175

    0.03823378540.04755411690.02219192120.02694733290.049089717

    0.03697672780.04588054250.02141091980.02599897410.0473621002

    0.03697672780.04437207340.02070696760.02514417490.0458049201

    0.03697672780.04437207340.02070696760.02514417490.0458049201

    0.03697672780.04437207340.02070696760.02514417490.0458049201

    0.03540842170.04437207340.02070696760.02514417490.0458049201

    0.034024110.04249010610.01982871620.02407772680.043862181

    0.0327904180.0408289320.01905350160.02313639480.0421473649

    0.03168187450.03934850160.01836263410.02229748420.040619129

    0.03067865760.03801824940.01774184970.02154367460.0392459207

    0.02976507940.03681438910.01718004820.02086148710.0380031858

    0.02892853990.03571809530.01666844450.0202402540.0368714909

    0.02815878690.03471424790.01619998240.01967140720.0358352277

    0.02744738180.03379054430.01576892070.01914797510.0348816961

    0.02744738180.03293685820.01537053380.01866421960.0340004431

    0.02744738180.03293685820.01537053380.01866421960.0340004431

    0.02744738180.03293685820.01537053380.01866421960.0340004431

    0.02678730720.03293685820.01537053380.01866421960.0340004431

    0.02617267310.03214476860.0150008920.01821536890.0331827757

    0.02559849410.03140720770.01465669690.01779741770.0324213977

    0.02506051870.0307181930.01433515670.0174069760.0317101336

    0.02455509550.03007262240.01403389050.01704115270.0310437165

    0.02407906870.02946611460.01375085350.01669746490.0304176235

    0.0236296950.02889488240.01348427850.01637376670.0298279454

    0.02320457650.0283556340.01323262920.01606819260.0292712837

    0.0228016070.02784549180.01299456290.0157791120.0287446682

    0.0228016070.02736192840.01276889990.01550509280.0282454897

    0.0228016070.02736192840.01276889990.01550509280.0282454897

    0.0228016070.02736192840.01276889990.01550509280.0282454897

    0.02241892760.02736192840.01276889990.01550509280.0282454897

    0.02205489080.02690271310.01255459940.01524487080.0277714456

    0.02170803050.02646586890.01235073880.01499732570.0273204951

    0.02137703710.02604963660.01215649710.01476146070.0268908219

    423700.02565244450.01197114080.01453638520.0264808039

    S(phiKS)

    S(KSpi0)

    S(eta^KS)

    S(KKKS)

    S(f0KS)

    Years of data accumulation

    Error on sine amplitude

    Chart All S Errors 7x10^35 EM

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31808556360.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31261096710.38170267640.17812791560.21629818330.39402847920.5681803129

    0.30400434010.37513316060.17506214160.21257545760.3872468230.5584013154

    0.29738084630.36480520810.17024243050.20672295130.37658536420.5430277285

    0.29229095440.35685701560.16653327390.20221897550.36838051150.5311965132

    0.28358718260.35074914520.16368293440.1987578490.3620754080.5221046942

    0.27382204550.34030461910.15880882220.19283928410.35129361110.5065575825

    0.2646308430.32858645460.15334034550.18619899090.33919704790.4891146071

    0.2565028020.31755701160.14819327210.17994897320.32781144620.4726968224

    0.24898992410.30780336240.14364156910.17442190540.31774283570.4581781098

    0.24041789560.29878790890.13943435750.16931314840.30843625850.4447582322

    0.24041789560.28850147470.13463402150.1634841690.29781765860.4328846713

    0.24041789560.28850147470.13463402150.1634841690.29781765860.4328846713

    0.24002446630.28850147470.13463402150.1634841690.29781765860.4328846713

    0.23722871750.28802935950.13441370110.16321663710.2973302980.4310841587

    0.23303263940.2846744610.13284808180.16131552790.29386706430.4260929138

    0.22786715730.27963916720.1304982780.15846219480.28866917270.4176202969

    0.22170435820.27344058870.12760560810.1549496670.2822704320.409964362

    0.21491587340.26604522980.12415444060.15075896360.27463626480.3973223221

    0.20845749980.25789904810.12035288910.14614279390.26622702960.3836758619

    0.20190296120.25014899980.11673619990.14175109990.25822671960.3709132083

    0.19646607670.24228355350.11306565830.13729401360.25010728510.3582224116

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3474661739

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19569049670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19194582470.23482859610.10958667820.13306953780.2424115950.3368087705

    0.18646921830.23033498970.10748966180.13052316080.23777288270.3309528626

    0.18128799290.2237630620.10442276230.12679906850.23098873670.3207568673

    0.17606890770.21754559150.1015212760.12327583520.2245704940.3110185681

    0.17159784740.21128268920.09859858830.11972685720.21810535240.3013834763

    0.16710225520.20591741690.09609479450.11668653620.21256682660.2932442129

    0.16710225520.20052270620.09357726290.11362953350.2069979120.2859241436

    0.16710225520.20052270620.09357726290.11362953350.2069979120.2859241436

    0.16611781220.20052270620.09357726290.11362953350.2069979120.2859241436

    0.16254485530.19934137470.09302597480.11296011230.20577843330.2848856423

    0.15991343920.19505382640.0910251190.11053050160.2013524330.2812097833

    0.15735050470.1918961270.08955152590.10874113860.19809276640.2775441816

    0.15354060160.18882060570.08811628260.10699834320.19491793140.2747127153

    0.14945882510.1842487220.08598273690.10440760910.19019841410.2687765928

    0.1456861810.17935059010.0836969420.1016320010.18514211360.2608707647

    0.14199215670.17482341720.08158426130.09906660310.18046875090.2533313181

    0.13893517410.1703905880.07951560770.09655466650.17589277840.2457015259

    0.13597821270.16672220890.07780369750.09447591840.17210594140.2394309175

    0.13597821270.16317385520.07614779910.09246518460.16844300550.2332414032

    0.13597821270.16317385520.07614779910.09246518460.16844300550.2332414032

    0.1354438410.16317385520.07614779910.09246518460.16844300550.2332414032

    0.1332672650.16253260920.0758485510.09210181190.16778105260.2323957991

    0.13156240890.1599207180.07462966840.09062174020.16508481920.2292071208

    0.12992135150.15787489060.0736749490.0894624380.16297292870.2260906622

    0.12750842470.15590562180.07275595690.0883465190.1609400690.2236869954

    0.12498201050.15301010960.07140471780.08670572880.1579510560.2190343815

    0.12267857990.14997841260.06998992590.08498776720.15482146060.213566192

    0.12042357040.14721429590.06870000480.08342143440.1519680860.2086462962

    0.11854180740.14450828450.06743719940.08188802790.14917469310.2039034901

    0.11668917950.14225016890.06638341210.0806084290.14684365920.1999878748

    0.11668917950.14002701540.06534594050.07934864210.14454871640.196169736

    0.11668917950.14002701540.06534594050.07934864210.14454871640.196169736

    0.11635095760.14002701540.06534594050.07934864210.14454871640.196169736

    0.11496245990.13962114910.06515653620.07911865120.1441297440.1956658444

    0.11386265710.13795495190.06437897760.07817447270.14240974260.193751277

    0.11279382640.13663518860.0637630880.07742660690.1410473620.1918579022

    0.11120406420.13535259170.06316454280.0766998020.1397233480.1903825275

    0.10951621880.13344487710.0622742760.07561876370.13775403010.1874892902

    0.10795648980.13141946260.06132908260.07447102880.13566321170.1840253269

    0.1064102260.12954778770.06045563430.0734104130.13373109740.1808495733

    0.10510523610.12769227120.05958972650.07235895370.13181566320.1777347778

    0.10380740220.12612628330.05885893220.07147156060.1301991070.1751235692

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.09266803610.12456888270.05813214520.07058903350.12859141540.1725426872

    0.08448486450.11120164330.05189410020.06301426450.1147925260.1561693616

    0.07814588210.10138183740.04731152410.05744970790.10465562250.1437178296

    0.07304845610.09377505850.0437616940.05313919980.09680320840.1338370159

    0.06883391080.08765814730.04090713540.04967295010.09048877210.1257488979

    0.06527366670.08260069290.038546990.04680705930.08526800420.1189696489

    0.06221424810.07832840.03655325330.04438609340.0808577520.1131805046

    0.05954827010.07465709780.0348399790.04230568870.07706789740.1081617704

    0.05719804390.07145792410.03334703120.04049282360.07376541720.1037564527

    0.05719804390.06863765270.03203090460.03889466990.07085407460.0998489807

    0.05719804390.06863765270.03203090460.03889466990.07085407460.0998489807

    0.05719804390.06863765270.03203090460.03889466990.07085407460.0998489807

    0.05322752370.06863765270.03203090460.03889466990.07085407460.0998489807

    0.04998351410.06387302840.02980741330.03619471610.06593559280.0931986979

    0.047268450.05998021690.02799076790.03398878960.06191707610.087721684

    0.04495262940.056722140.0264703320.0321425460.05855379050.0831091158

    0.04294691240.05394315530.02517347250.0305677880.05568506790.0791551702

    0.0411877450.05153629490.0240502710.02920390040.0532004860.0757166863

    0.03962843070.0494252940.02306513720.02800766660.05102131750.072690594

    0.03823378540.04755411690.02219192120.02694733290.0490897170.0700005461

    0.03697672780.04588054250.02141091980.02599897410.04736210020.0675886226

    0.03697672780.04437207340.02070696760.02514417490.04580492010.0654099805

    0.03697672780.04437207340.02070696760.02514417490.04580492010.0654099805

    0.03697672780.04437207340.02070696760.02514417490.04580492010.0654099805

    0.03540842170.04437207340.02070696760.02514417490.04580492010.0654099805

    0.034024110.04249010610.01982871620.02407772680.0438621810.0626859092

    0.0327904180.0408289320.01905350160.02313639480.04214736490.060276088

    0.03168187450.03934850160.01836263410.02229748420.0406191290.0581243997

    0.03067865760.03801824940.01774184970.02154367460.03924592070.056187824

    0.02976507940.03681438910.01718004820.02086148710.03800318580.0544327523

    0.02892853990.03571809530.01666844450.0202402540.03687149090.0528324959

    0.02815878690.03471424790.01619998240.01967140720.03583522770.0513655557

    0.02744738180.03379054430.01576892070.01914797510.03488169610.0500143929

    0.02744738180.03293685820.01537053380.01866421960.03400044310.0487645377

    0.02744738180.03293685820.01537053380.01866421960.03400044310.0487645377

    0.02744738180.03293685820.01537053380.01866421960.03400044310.0487645377

    0.02678730720.03293685820.01537053380.01866421960.03400044310.0487645377

    0.02617267310.03214476860.0150008920.01821536890.03318277570.0476039321

    0.02559849410.03140720770.01465669690.01779741770.03242139770.0465224358

    0.02506051870.0307181930.01433515670.0174069760.03171013360.0455114519

    0.02455509550.03007262240.01403389050.01704115270.03104371650.0445636366

    0.02407906870.02946611460.01375085350.01669746490.03041762350.0436726745

    0.0236296950.02889488240.01348427850.01637376670.02982794540.0428330999

    0.02320457650.0283556340.01323262920.01606819260.02927128370.0420401559

    0.0228016070.02784549180.01299456290.0157791120.02874466820.0412896797

    0.0228016070.02736192840.01276889990.01550509280.02824548970.0405780112

    0.0228016070.02736192840.01276889990.01550509280.02824548970.0405780112

    0.0228016070.02736192840.01276889990.01550509280.02824548970.0405780112

    0.02241892760.02736192840.01276889990.01550509280.02824548970.0405780112

    0.02205489080.02690271310.01255459940.01524487080.02777144560.0399019169

    0.02170803050.02646586890.01235073880.01499732570.02732049510.0392585287

    0.02137703710.02604963660.01215649710.01476146070.02689082190.0386452919

    423700.02565244450.01197114080.01453638520.02648080390.0380599227

    S(phiKS)

    S(KSpi0)

    S(eta^KS)

    S(KKKS)

    S(f0KS)

    S(Kstarg)

    Error on sine amplitude

    Chart All S Errors 7x10^35 10

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31957569240.38349083090.17896238780.21731147080.39587437620.5708420554

    0.31808556360.38170267640.17812791560.21629818330.39402847920.5681803129

    0.31261096710.37513316060.17506214160.21257545760.3872468230.5584013154

    0.30400434010.36480520810.17024243050.20672295130.37658536420.5430277285

    0.29738084630.35685701560.16653327390.20221897550.36838051150.5311965132

    0.29229095440.35074914520.16368293440.1987578490.3620754080.5221046942

    0.28358718260.34030461910.15880882220.19283928410.35129361110.5065575825

    0.27382204550.32858645460.15334034550.18619899090.33919704790.4891146071

    0.2646308430.31755701160.14819327210.17994897320.32781144620.4726968224

    0.2565028020.30780336240.14364156910.17442190540.31774283570.4581781098

    0.24898992410.29878790890.13943435750.16931314840.30843625850.4447582322

    0.24041789560.28850147470.13463402150.1634841690.29781765860.4328846713

    0.24041789560.28850147470.13463402150.1634841690.29781765860.4328846713

    0.24041789560.28850147470.13463402150.1634841690.29781765860.4328846713

    0.24002446630.28802935950.13441370110.16321663710.2973302980.4310841587

    0.23722871750.2846744610.13284808180.16131552790.29386706430.4260929138

    0.23303263940.27963916720.1304982780.15846219480.28866917270.4176202969

    0.22786715730.27344058870.12760560810.1549496670.2822704320.409964362

    0.22170435820.26604522980.12415444060.15075896360.27463626480.3973223221

    0.21491587340.25789904810.12035288910.14614279390.26622702960.3836758619

    0.20845749980.25014899980.11673619990.14175109990.25822671960.3709132083

    0.20190296120.24228355350.11306565830.13729401360.25010728510.3582224116

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3474661739

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19646607670.2357592920.11002100290.13359693210.24337234460.3378458636

    0.19569049670.23482859610.10958667820.13306953780.2424115950.3368087705

    0.19194582470.23033498970.10748966180.13052316080.23777288270.3309528626

    0.18646921830.2237630620.10442276230.12679906850.23098873670.3207568673

    0.18128799290.21754559150.1015212760.12327583520.2245704940.3110185681

    0.17606890770.21128268920.09859858830.11972685720.21810535240.3013834763

    0.17159784740.20591741690.09609479450.11668653620.21256682660.2932442129

    0.16710225520.20052270620.09357726290.11362953350.2069979120.2859241436

    0.16710225520.20052270620.09357726290.11362953350.2069979120.2859241436

    0.16710225520.20052270620.09357726290.11362953350.2069979120.2859241436

    0.16611781220.19934137470.09302597480.11296011230.20577843330.2848856423

    0.16254485530.19505382640.0910251190.11053050160.2013524330.2812097833

    0.15991343920.1918961270.08955152590.10874113860.19809276640.2775441816

    0.15735050470.18882060570.08811628260.10699834320.19491793140.2747127153

    0.15354060160.1842487220.08598273690.10440760910.19019841410.2687765928

    0.14945882510.17935059010.0836969420.1016320010.18514211360.2608707647

    0.1456861810.17482341720.08158426130.09906660310.18046875090.2533313181

    0.14199215670.1703905880.07951560770.09655466650.17589277840.2457015259

    0.13893517410.16672220890.07780369750.09447591840.17210594140.2394309175

    0.13597821270.16317385520.07614779910.09246518460.16844300550.2332414032

    0.13597821270.16317385520.07614779910.09246518460.16844300550.2332414032

    0.13597821270.16317385520.07614779910.09246518460.16844300550.2332414032

    0.1354438410.16253260920.0758485510.09210181190.16778105260.2323957991

    0.1332672650.1599207180.07462966840.09062174020.16508481920.2292071208

    0.13156240890.15787489060.0736749490.0894624380.16297292870.2260906622

    0.12992135150.15590562180.07275595690.0883465190.1609400690.2236869954

    0.12750842470.15301010960.07140471780.08670572880.1579510560.2190343815

    0.12498201050.14997841260.06998992590.08498776720.15482146060.213566192

    0.12267857990.14721429590.06870000480.08342143440.1519680860.2086462962

    0.12042357040.14450828450.06743719940.08188802790.14917469310.2039034901

    0.11854180740.14225016890.06638341210.0806084290.14684365920.1999878748

    0.11668917950.14002701540.06534594050.07934864210.14454871640.196169736

    0.11668917950.14002701540.06534594050.07934864210.14454871640.196169736

    0.11668917950.14002701540.06534594050.07934864210.14454871640.196169736

    0.11635095760.13962114910.06515653620.07911865120.1441297440.1956658444

    0.11496245990.13795495190.06437897760.07817447270.14240974260.193751277

    0.11386265710.13663518860.0637630880.07742660690.1410473620.1918579022

    0.11279382640.13535259170.06316454280.0766998020.1397233480.1903825275

    0.11120406420.13344487710.0622742760.07561876370.13775403010.1874892902

    0.10951621880.13141946260.06132908260.07447102880.13566321170.1840253269

    0.10795648980.12954778770.06045563430.0734104130.13373109740.1808495733

    0.1064102260.12769227120.05958972650.07235895370.13181566320.1777347778

    0.10510523610.12612628330.05885893220.07147156060.1301991070.1751235692

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    0.10380740220.12456888270.05813214520.07058903350.12859141540.1725426872

    S(phiKS)

    S(KSpi0)

    S(eta^KS)

    S(KKKS)

    S(f0KS)

    S(Kstarg)

    Error on sine amplitude

    Chart All S Errors 2.5x10^35

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.30830080690.45615557990.27471202310.23621410090.4801526931

    0.3068632510.45402860160.27343108620.23511267340.4779138202

    0.30158180260.44621427840.26872504160.23106613010.4696884066

    0.29327882430.43392936110.26132665690.22470454910.456757213

    0.28688901260.42447512620.2556330030.21980879930.4468056164

    0.28197869610.41720992220.25125765610.216046610.4391582096

    0.27358200040.40478634260.24377576430.20961322450.4260810589

    0.26416138510.39084779250.2353815070.20239533170.4114092394

    0.25529445560.37772846460.22748061250.19560166220.3975997391

    0.24745317840.36612667090.22049362750.18959382760.3853876064

    0.24020536080.3554029480.21403544580.18404069030.3740997373

    0.23193576030.3431674160.20666680250.17770468280.361220527

    0.23193576030.3431674160.20666680250.17770468280.361220527

    0.23193576030.3431674160.20666680250.17770468280.361220527

    0.23155621150.34260584330.20632860470.17741387980.3606294115

    0.22885909890.33861525060.20392533750.17534740450.3564288846

    0.22481106180.33262585750.20031832620.17224587690.3501244056

    0.21982782210.32525275770.19587800090.16842781520.342363427

    0.21388245140.31645610870.19058036710.16387258750.33310401

    0.20733346980.30676636920.18474488450.15885488480.3229045195

    0.20110295280.29754782350.17919317040.15408118350.313201011

    0.19477966360.28819201380.17355879140.14923640180.3033530174

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18953459660.28043151980.16888516450.14521773320.2951842648

    0.18878637980.27932447350.16821846450.1446444640.2940189797

    0.18517382280.27397940790.16499948870.14187659290.2883927247

    0.17989043540.26616221580.16029171630.13782856390.2801642912

    0.17489200780.25876664430.15583785780.13399886560.2723796587

    0.16985705610.25131703250.15135145440.13014118320.2645381429

    0.16554373840.24493513570.14750806440.12683640280.2578205118

    0.16120675420.23851822250.14364358640.12351348960.2510660221

    0.16120675420.23851822250.14364358640.12351348960.2510660221

    0.16120675420.23851822250.14364358640.12351348960.2510660221

    0.16025704320.23711304950.14279734460.12278583940.2495869267

    0.1568101430.23201308640.13972597760.12014489140.2442186683

    0.15427156540.22825705870.13746397310.11819988240.2402650461

    0.15179905330.22459878030.13526083650.11630549150.2364143156

    0.14812356660.21916060520.13198578710.11348940490.2306900528

    0.14418579840.21333436380.12847703120.11047236330.2245573085

    0.14054625620.20794937140.12523401020.10768381660.2188890263

    0.136982560.20267659930.12205857190.10495338170.2133388679

    0.13403343020.19831312710.11943074420.10269381560.2087458452

    0.13118079280.19409242290.11688889610.10050818010.2043031012

    0.13118079280.19409242290.11688889610.10050818010.2043031012

    0.13118079280.19409242290.11688889610.10050818010.2043031012

    0.13066527420.19332967210.11642954220.10011319970.2035002241

    0.12856548950.19022287360.11455852510.09850438540.2002299853

    0.1269207820.1877893980.11309300540.09724424250.1976684911

    0.12533762250.18544698750.11168232810.09603125630.1952028528

    0.12300982560.18200282680.10960814020.09424774350.191577504

    0.12057254540.17839667670.1074363970.09238034660.1877816441

    0.11835038170.17510880860.10545633380.09067776790.1843208102

    0.11617493070.17189005580.1035178940.08901097950.1809327274

    0.11435955780.16920406710.10190030250.0876200760.1781054361

    0.11257229210.16655966520.1003077560.08625070760.1753219194

    0.11257229210.16655966520.1003077560.08625070760.1753219194

    0.11257229210.16655966520.1003077560.08625070760.1753219194

    0.11224600290.16607689440.10001701540.08600071120.1748137513

    0.11090649250.16409498220.09882344210.08497440430.1727275761

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