necessary ingredients: proper decay time flavor at production, i.e. “tagging”:

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Necessary ingredients: proper decay time flavor at production, i.e. “tagging”: = tagger efficiency •D = tagger dilution = 1 – 2w [w is the wrong tag probability] Only source of CP violation in the SM: complex phase in the CKM matrix but “not enough” to explain baryon - anti-baryon asymmetry occurs via 2 nd order weak diagrams 2 eigenstates of definite mass and width: H(eavy) and L(ight) extract V td , V ts and (more precisely) the ratio V td /V ts : M s(d) = M H - M L ~|V ts(d) | 2 = H - L , M sets the frequency of the flavor oscillations M =- 3 .7 –0 .8 +1.5 × 10 -3 P(B B) = 1 2 -t cosh(t / 2) - cos(Mt) [ ] M s To probe CP violation deeper, check CKM matrix unitarity by over- constraining the Unitarity Triangle M d = 0.510 0.005 ps -1 small easy to resolve osci M s >14.4 ps -1 @95% C.L. large use AMPLITUDE SCAN met 1)A sym m etry(t)= N unm ixed -N mixed N tagged = A D cos M s t ( ) A s A = 2 2 S S S + B M s 2 s ct 2 2 3) Signal significance S, S/(S+B) and s ct -- reasonable values achieved with SILICON TRACKER 2) Scan: A ~ 1 A ~ 0 otherwise D 2 : tagger dilutions measured in data M s = ΔM s real V ud V us V ub V cd V cs V cb V td V ts V tb Tagger 2 Soft Muon 5% 36% 0.56% Soft Elctr 4% 30% 0.29% Jt Charg 75% 8% 0.58% Total 84% --- 1.43% flavor at decay [consider flavor specific decays D s - + , D s - l + nX, …]

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CP violation in the Standard Model. DM s. Measuring. Only source of CP violation in the SM: complex phase in the CKM matrix but “not enough” to explain baryon - anti-baryon asymmetry. Necessary ingredients: - PowerPoint PPT Presentation

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Page 1: Necessary ingredients: proper decay time flavor at production, i.e. “tagging”:

Necessary ingredients:

proper decay timeflavor at production, i.e. “tagging”:

• = tagger efficiency • D = tagger dilution = 1 – 2w [w is the wrong tag probability]

Only source of CP violation in the SM: complex phase in the CKM matrix but “not enough” to explain baryon - anti-baryon asymmetry

occurs via 2nd order weak diagrams 2 eigenstates of definite mass and width: H(eavy) and L(ight) extract Vtd, Vts and (more precisely) the ratio Vtd/Vts:

•Ms(d) = MH - ML ~|Vts(d)|2

• = H - L, M sets the frequency of the flavor oscillations

M=- 3.7 –0.8

+1.5×10 -3

P(B→ B)=12-t cosh(t/ 2)-cos(Mt)[ ]

Ms

To probe CP violation deeper, check CKM matrix unitarity by over-constraining the Unitarity

Triangle Md = 0.510 0.005 ps-1 small easy to resolve oscillationsMs>14.4 ps-1 @95% C.L. large use AMPLITUDE SCAN method

1) Asymmetry(t) =Nunmixed - Nmixed

N tagged =ADcos Mst( )

AsA= 2

2 S SS+ B

−Ms

2sct2

23) Signal

significance

S, S/(S+B) and sct -- reasonable values achieved with SILICON TRACKER

2) Scan: A ~ 1 A ~ 0 otherwise

D2: tagger dilutions measured in data

Ms = ΔMsreal

Vud Vus VubVcd Vcs VcbVtd Vts Vtb

⎢⎢⎢

⎥⎥⎥

Tagger 2

SoftMuon 5% 36% 0.56%SoftElctron4% 30% 0.29%JtCharg 75% 8% 0.58%Total 84% --- 1.43%

flavor at decay [consider flavor specific decays Ds

-+, Ds-l+nX, …]

Page 2: Necessary ingredients: proper decay time flavor at production, i.e. “tagging”:

Ms: include Same-Side K Tagging (using new TOF system) double tagging power “event by event” primary vertex reconstruction improve sct additional channels and trigger paths larger S more statisticss: alternative approaches [Br(BsDs

(*)- Ds(*)+ ),

lifetime in CP-even dominated samples] more statistics

Extract Ms from 2 independent samples: BsDslnX [larger S] and BsDs [better sct]

A larger Ms is more difficult to measure, but a larger s is easier to measure

H and L eigenstates are nearly CP eigenstates measuring the lifetime in a Bs decay to a CP final state measuring the lifetime of the corresponding H and L eigenstate

Bs J/f is P VV decayJ = 0, S = 0,1,2 L = 0,1,2 i.e. S, P, and D partial waves:S,D-waves P-wave

LsBLsBLsB

Extract distinct lifetime for each s meas.

ONLINE track processor that uses SVX information to select tracks with large impact parameter w.r.t. the beam line -- a signature of B and D meson decays

L00+SVXII+ISL: 7-8 silicon layers ** 722K channels * rf and rz views * 1.3cm < r < 28cm

s

s is an insurance we have if Ms turns out to be too large ( ~ M)

Combined result: Ms>7.9 ps-1@95% C.L. Sensitivity: 8.4 ps-1

s / s=- 0. 65 - 0 . 25+0. 33

Statistical uncertainties dominate the measurements Large Bd samples are used as checks/calibrations

s = - 0 . 47 - 0 . 19+0. 24

Angular analysis isolates P-wave from S- and D-waves separates H and L eigenstates

BsL

BsH