qwg5 desy october 20, 2007 miguel a. sanchis-lozano ific-valencia 1 miguel-angel sanchis-lozano...
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QWG5 DESY October 20, 2007
Miguel A. Sanchis-Lozano IFIC-Valencia
1
Miguel-Angel Sanchis-Lozano
Department of Theoretical Physics & IFICUniversity of Valencia – CSIC
Spain
A light non-standard Higgs: to be or not to beA light non-standard Higgs: to be or not to be @ a (Super) B factory*@ a (Super) B factory*
email: [email protected]
*Based on arXiv:0709.3747hep-ph/0702190, hep-ph/0610046hep-ph/020156, hep-ph/0307313
Special thanks to J.Duboscq (CLEO) for many iIluminating discussions
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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Light neutral Higgs scenarios
Higgs sector in the NMSSM: (seven) 2 neutral CP-odd Higgs bosons (A1,2)
3 neutral CP-even Higgs bosons (H1,2,3 )
2 charged Higgs bosons (H±)
SH
HH
H
HH
d
dd
u
uu
ˆ,ˆ,ˆ00
The A1 would be the lightest Higgs:
sMSSM1 A sinA cosA AA
Coupling of A1 to down type fermions tancos A
PQ symmetry or U(1)R slightly broken → a light pseudoscalar Higgs A1 A0
L & H
Light dark matter?
NMSSM candidate compatible with present bounds: Light neutralino with a singlet component
McElrath [hep-ph/0506151]
Light and heavy Higgsbosons can live together
tan β = v2 / v1
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Light Higgs windows at LEP (CPV MSSM)Light Higgs windows at LEP (CPV MSSM)hep-ex/0406057hep-ex/0406057
hep-ex/0406057
CPX MSSM 95% exclusion areas using scans with different values of arg (At,b). The region excluded by Yukawa searches, Z-width
constraints or decay independent searches is shown in red
CPX MSSM 95% exclusion areas using scans with differentvalues of the top mass
Diagram illustrating the effective coupling of a Higgs mass eigenstate H1 to the Z. Only the CP-even admixture h and H couple to Z while the CP-odd A does not: hence
the coupling of the H1 is reduced wrt a CPC scenario.
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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Next-to-Minimal Supersymmetric Model (NMSSM)Next-to-Minimal Supersymmetric Model (NMSSM)
Much less constrained by LEP data Much less constrained by LEP data and B-physics observables than the MSSMand B-physics observables than the MSSM
Hiller, hep-ph/0404220
Higgs mass values allowed down to several GeVHiggs mass values allowed down to several GeV
Similarly for Similarly for Little Higgs modelsLittle Higgs models with an with an extended structure of global U(1) symmetries extended structure of global U(1) symmetries
broken both spontaneously and explicitly, broken both spontaneously and explicitly, possibly leading to light pseudoscalar particles in possibly leading to light pseudoscalar particles in
the Higgs spectrum the Higgs spectrum Kraml et al. hep-ph/0608079
Upsilon decays should be useful in the search for a light Higgs
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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FormalismFormalism
Leptonic decaysLeptonic decays
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Mixing of a pseudoscalar Higgs AMixing of a pseudoscalar Higgs A00 and a and a b b resonanceresonance
000
000
22
22
2
bbbimmm
mimm AAA
M
000
00
0
sincos
sincos
A
AA
bb
bo
A00 , b0
unmixed states
A0 , b mixed (physical)
states
000
00
0
22
22
|sin||cos|
|sin||cos|
A
AA
bb
bo
e+ e- τ+ τ-
000
00
0
sincos
sincos
A
AA
ggg
ggg
bb
bo
0
0
dXRv
mm
b
b
|)0(|
4
32/1
2
32
22sin m
Xd = cosA tanβSmaller couplingSmaller couplingstrength than instrength than in
the MSSMthe MSSM
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bb / A / A00 mixing mixing
Xd = 10
b mass shift ?
Hyperfine splitting m-mb
unexpectedly large/or small
broader b ?
b > [b2g]
due to the new physics contribution
Xd = cosA tanβ
Xd = 10,20,40
Possible spectroscopic consequences
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Our proposal:Our proposal:Test of lepton universality in Test of lepton universality in leptonic decays leptonic decays
000
0
22
02
2
2
2
22
/ |sin||cos|
][|cos|1
8bA
Adl
A
m
m
v
XmR
1)(
)(/
B
B
B
BBR
em
nS
000
22
02
/ |cos||sin|
][|sin|
][
][
bA
bl
A
llB
BR
• Non-resonant decay
• Resonant decay
Wilczek formula
M1 transition probability
Mixing effect
Mixing effect
2b
32b
2M1
bs 3
41)( b
m
kQIB
QCD+binding energy effects QCD+binding energy effects small for the pseudoscalar Asmall for the pseudoscalar A00
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Lepton universality in the SMLepton universality in the SM
ΓΓllll is an is an inclusiveinclusive quantity: quantity: ll+ + ll- - is is accompanied byaccompanied by anan infinite number of soft photonsinfinite number of soft photons
The test of lepton universality can be seen as complementary to searches for The test of lepton universality can be seen as complementary to searches for monochromatic photons in the monochromatic photons in the γγ ττττ channel (see B. Heltsley talk) channel (see B. Heltsley talk)
To order To order αα33:: ΓΓllll = = ΓΓllll 0 0 [1+[1+δδvacvac++δδvertex vertex ] ] ΓΓllll 0 0 [1+[1+δδvacvac] ]
Divergencies/singularities free at any order: Bloch and Nordsieck theorem &Divergencies/singularities free at any order: Bloch and Nordsieck theorem &
Kinoshita-Sirlin-Lee-Nauenberg theoremKinoshita-Sirlin-Lee-Nauenberg theorem
eeee )(BF)(BF)(BF
3α /4π ~ 0.17%
7.6% Contribution potentially dangerous for testing lepton universality if final-state radiation is not properly taken into account in the MC to obtain the detection efficiency in the analysis of experimental dataAlbert et al. Nucl. Phys. B 166 (1980) 460
Warning!
δ vac=δee+δ+δ+ δquarks
Neglecting phase space and helicity flip effects. Higher-order SM effects are negligible
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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Testing Lepton UniversalityTesting Lepton Universality
Channel:Channel: * * BF[eBF[e++ee--]] BF[BF[μμ++ μμ--]] BF[BF[++--]] RR//ll
(1S) (1S) 2.38 2.38 ± 0.11 %± 0.11 % 2.60 ± 0.10 % 2.60 ± 0.10 % 0.09 ± 0.060.09 ± 0.06
(1S)(1S) 2.48 ± 0.05 %2.48 ± 0.05 % 2.60 ± 0.10 % 2.60 ± 0.10 % 0.05 0.05 ± 0.04± 0.04
(2S)(2S) 1.91 1.91 ± 0.16 %± 0.16 % 2.00 ± 0.21 %2.00 ± 0.21 % 0.05 ± 0.140.05 ± 0.14
(2S)(2S) 1.93 1.93 ± 0.17 %± 0.17 % 2.00 ± 0.21 %2.00 ± 0.21 % 0.04 ± 0.140.04 ± 0.14
(3S)(3S) 2.18 2.18 ± 0.20 %± 0.20 % 2.29 ± 0.30 %2.29 ± 0.30 % 0.05 0.05 ± 0.16± 0.16
(3S)(3S) 2.18 ± 0.21 %2.18 ± 0.21 % 2.29 2.29 ± 0.30 %± 0.30 % 0.05 0.05 ± 0.16± 0.16
1)(
)(/
B
BB
BBR
em
nS s
Lepton Universality inUpsilon decays implies
<R/l > = 0
)(BF)(BF)(BF ee
ee
* * From PDG ‘07From PDG ‘07
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Lepton Universality Breaking?Lepton Universality Breaking?
22
offunction decreasing (smoothly)
2/12
2
22)(
M/with
)41)(21(M
)0(4
mx
xxR
Qx
nb
em
A0 LU
R/l
0.0 0.1 0.2
R/e(1S)
R/(1S)
R/e(2S)
R/(2S)
R/e(3S)
R/(3S)
0.3 0.4
1)(/
)(/
)(/
)(/ˆ)(
)(/
llem
nS
xKB
xKB
xK
xKR
0.0-0.1
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Expected LUExpected LU breakingbreaking
Green line: non-resonant decayBlack line: resonant decay
Red line: sum
Xd=10, b0 = 5 MeV
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A closer look at the A closer look at the NMSSM parameter spaceNMSSM parameter space
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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AA
A
A
AA
sm
sAsAs
sAv
22
2 sin22sin3
cos33
2sin3)(2
2sin)2(cos
1
λ
Aλ = -200 GeV
μ = 150 GeVAκ = -15 GeV
tanβ= 50
Aλ ~ - Κ μ / λ
Κ - (4/3) λ =0
0.1 ≤| cos A |≤ 0.5
XXdd
κλλ
tantanββ ~ ~ 1/ [1/ [Aλ+Κ (μ / λ) ] Ananthanarayan & Pandita, hep-ph/9601372Ananthanarayan & Pandita, hep-ph/9601372
Xd > 5``Xd =10
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In several In several NMSSM NMSSM parameter regions, it may happen at the same time: parameter regions, it may happen at the same time:
Large tanLarge tanββ (for A(for Aλλ + + κκ s ≈ 0)s ≈ 0)
0.1 ≤ | 0.1 ≤ | cos cos AA | | ≤ 0.5 ≤ 0.5 ((AA00 mainly singlet but not completely mainly singlet but not completely))
|X|Xdd| = 5 – 25 | = 5 – 25 for tanfor tanββ = 50 = 50
Low mass (e.g. 10 GeV) of the lightest CP-odd Higgs boson Low mass (e.g. 10 GeV) of the lightest CP-odd Higgs boson AA00
Low fine-tunning in order to get a Higgs-like boson explaining theLow fine-tunning in order to get a Higgs-like boson explaining the Z+b-jets event excess at LEP Z+b-jets event excess at LEP (Dermisek & Gunion, hep-ph/0510322)(Dermisek & Gunion, hep-ph/0510322)
Suggestive coincidence !
“There should be one thousand reasons for not running a B factory at There should be one thousand reasons for not running a B factory at (3S) (3S) but right now I cannot think of one”but right now I cannot think of one”
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SummarySummaryWhat if...What if...
there exists a light Higgs-like particle about 10 GeV?there exists a light Higgs-like particle about 10 GeV?
A high luminosity B factory would be the ideal place A high luminosity B factory would be the ideal place to discover/study it, e.g. looking at to discover/study it, e.g. looking at
- decay into - decay into ττ++ ττ-- ( ():): Lepton universality test Lepton universality test ((M.A.S.L.,M.A.S.L., arXiv:0709.3747)arXiv:0709.3747)
-- direct searches for monochromatic photons direct searches for monochromatic photons (see(see B. HeltsleyB. Heltsley talk) talk)
Dermisek, Gunion and McElrath, Dermisek, Gunion and McElrath, hep-ph/0612031hep-ph/0612031
(( also also Mangano and NasonMangano and Nason in in γγ μμμμ decays, decays, arXiv:0704:1719 arXiv:0704:1719 ))
Complementary/Implications to LHC/ILC searches!Complementary/Implications to LHC/ILC searches! + related topics: muon g-2 anomaly, light dark matter + related topics: muon g-2 anomaly, light dark matter
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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Back upBack up
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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Proposal of testing lepton universality (to the percent level) @ a (Super) B factoryProposal of testing lepton universality (to the percent level) @ a (Super) B factory
With the machine sitting on the With the machine sitting on the (3S)(3S) Final state & BFFinal state & BF
(3S) (3S) ππ ++ ππ - - (1S,2S) (1S,2S) →→ ++ - - ππ ++ ππ - - ++ - -
BF BF 2-4 x 10 2-4 x 10-2 -2 BF BF 2 x 10 2 x 10-2 -2 BF BF 4 - 8 x 10 4 - 8 x 10-4-4
(3S) (3S) ππ ++ ππ - - (1S,2S) (1S,2S) →→ ++ - - ππ ++ ππ -- l l ++ ll --
BF BF 10 10-1 -1 ++ -- → → ll ++ ll -- X, X, l = l = ee, , BF BF 5 - 10 x 10 5 - 10 x 10-5-5
(3S) (3S) ++ -- ++ --
BF BF 2 x 10 2 x 10-2 -2 BF BF 2 x 10 2 x 10-2 -2
(3S) (3S) ++ - - l l ++ ll -- X X → → ll ++ l l - - X, X, l = l = ee, , BF BF 2 x 10 2 x 10-3 -3
With the machine sitting on the With the machine sitting on the (4S)(4S)
(4S) (4S) ππ ++ ππ - - (1S,2S) (1S,2S) →→ ++ - - ππ ++ ππ - - ++ --
BF BF 10 10-4 -4 BF BF 2 x 10 2 x 10-2 -2 BF BF 2 x 10 2 x 10-6-6
(4S) (4S) ππ ++ ππ - - (1S,2S)(1S,2S) →→ ++ - - ππ ++ ππ -- l l ++ ll - - XX BF BF 10 10-1 -1 ++ -- → → ll ++ l l - - X, X, l = l = ee, , BF BF 2 x 10 2 x 10-7-7
Compare rates
Compare rates
Compare rates
Statistical error ≈ 0.07 / √ # fb-1
Systematic error ≤ 0.037
hep-ph/0610046
QWG5 DESY QWG5 DESY October 20, 2007 October 20, 2007
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Entangled both theoretically and experimentally?
b resonance A0 Higgs boson/
Searches for b states over more than 20 years
No signal found so far!
Petit bourgeois Enfant terrible
Spectroscopic consequences: quite larger or smaller hyperfine splitting
An unlikely but not impossible situation:
(ns) and b(nS) mass levels might be reversed!
Mixing