andreas crivellin
DESCRIPTION
Andreas Crivellin. Overview of Flavor Physics with focus on the Minimal Supersymmetric Standard Model and two-Higgs-doublet models. Supported by a Marie Curie Intra-European Fellowship of the European Community's 7th Framework Programme under contract number (PIEF-GA-2012-326948). Outline:. - PowerPoint PPT PresentationTRANSCRIPT
Andreas CrivellinAndreas Crivellin
Overview of Flavor PhysicsOverview of Flavor Physicswith focus on the Minimal Supersymmetric Standard Model with focus on the Minimal Supersymmetric Standard Model
and two-Higgs-doublet modelsand two-Higgs-doublet models
Supported by a Marie Curie Intra-European Fellowship of the European Community's 7th Framework Programme under contract number (PIEF-GA-2012-326948).
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Outline:Outline: IntroductionIntroduction Flavor observablesFlavor observables
Meson mixingMeson mixing Radiative B decaysRadiative B decays Lepton flavor violationLepton flavor violation Tauonic B decaysTauonic B decays
Flavor Phenomenology of 2HDMsFlavor Phenomenology of 2HDMs ConclusionsConclusions
qB
3
Flavor-Physics vs LHCFlavor-Physics vs LHC Direct searchesDirect searches
probe the scale of NP Λprobe the scale of NP Λ
Limited by available energyLimited by available energy
Flavor physicsFlavor physicsprobes NP indirectly through loop effectsprobes NP indirectly through loop effects
Limited by the size of flavor violation Limited by the size of flavor violation δδ
and the available statistics/precisionand the available statistics/precision
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Flavor-Physics vs LHCFlavor-Physics vs LHC
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2HDM of type II2HDM of type II(MSSM at tree-level)(MSSM at tree-level)
One Higgs doublet couples One Higgs doublet couples
only to down-quarks only to down-quarks
(and charged leptons), (and charged leptons),
the other Higgs doubletthe other Higgs doublet
couples only to up-quarks.couples only to up-quarks.
2 additional free parameters:2 additional free parameters:
tan(β)=vtan(β)=vuu/v/vdd and the heavy Higgs and the heavy Higgs
mass (MSSM like Higgs potential)mass (MSSM like Higgs potential)
All flavor-violations is due to the CKM matrix: neutral Higgs-quark couplings are flavor-conserving.eutral Higgs-quark couplings are flavor-conserving.
i
i
qq qm v Y
uH
iuY
fd
dH
idY
fu
id
iu
0 0H A H Hm m m m
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2HDM of type III2HDM of type III Both Higgs doublets couple simultaneously to up and down Both Higgs doublets couple simultaneously to up and down
quarks.quarks.
The parameters describe flavor-changing neutral Higgs The parameters describe flavor-changing neutral Higgs interactionsinteractions
In the MSSM, are induced via loopsIn the MSSM, are induced via loops
uH
ufifd
dH
dfi fuid iu
d d dij d ij u ijm v Y v
,u dij
u u uij u ij d ijm v Y v
,u dij
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New SM predictionsNew SM predictions Effect ofEffect of included included
De Bruyn et al. 1204.1737De Bruyn et al. 1204.1737
New lattice result for New lattice result for HPQCD, FLAGHPQCD, FLAG
NLO electroweak correctionsNLO electroweak correctionsBobeth et al. 1311.1348Bobeth et al. 1311.1348
NNLO QCD correctionsNNLO QCD correctionsHermann et al. 1311.1347Hermann et al. 1311.1347
Stringent constraints on scalar Stringent constraints on scalar
operators (e.g. Higgs induced operators (e.g. Higgs induced
flavor-violation)flavor-violation)
Starting to probe vector operatorsStarting to probe vector operators
sB
sBf
s
tan 50
Hm 700 GeV
Hm 500 GeV
Hm 300 GeV
9
9
2.9 0.7 10
3.65 0.23 10
s LHCb CMS
s SM
Br B
Br B
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Constraints on NP models Constraints on NP models fromfromand and sB
Plot from David Straub’s talk
dB
9
NNLO QCD correctionsNNLO QCD corrections
Best constraints on the charged Best constraints on the charged
Higgs massHiggs mass
Hadronic uncertainties largely Hadronic uncertainties largely
drop out in the CP averaged BRdrop out in the CP averaged BR Benzke et al. 1003.5012, Hurth et al. 1005.1224Benzke et al. 1003.5012, Hurth et al. 1005.1224
qB X b s
b d
tan 50
Hm 700 GeV
Hm 500 GeV
Hm 300 GeV
5
exp
0.26 50.31
1.41 0.57 10
1.54 10SM
Br b d
Br b d
AC, L. Mercolli 1106.5499
4
exp
4
3.43 0.21 0.07 10
3.13 0.22 10SM
Br b s
Br b s
Preliminary, M. Misiak, talk in Portoroz
Hermann et al 1208.2788380 GeVHm
b
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Meson mixingMeson mixing
sd
SM Kaon mixingKaon mixing Very sensitive to NP with Very sensitive to NP with
additional phases genericadditional phases genericNP > 10000 TeVNP > 10000 TeVMost stringent constraints Most stringent constraints on extra dimensionson extra dimensions
BBss, B, Bdd mixing mixing Now in good agreement with the SMNow in good agreement with the SM
D mixingD mixing Poor SM prediction forPoor SM prediction for
the mass difference the mass difference due to non-perturbative effectsdue to non-perturbative effects
No sign for additional phasesNo sign for additional phases
s d, ,t c u
, ,t c u
W W
sd
s dd
d
g g
MSSM
For an review see e.g. Lenz, Nierste et al. arXiv:1008.1593
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Squark mass splitting in the MSSM:Squark mass splitting in the MSSM:Constraints from Kaon and D mixingConstraints from Kaon and D mixing
Maximally allowed mass-splitting
Alignment to Yd
Constraints from D mixing
Alignment to Yu
Constraints from Kaon mixing
Minimally allowed mass-splitting
Cancellations between Cancellations between different contributionsdifferent contributions
Non-degenerate Non-degenerate squark masses squark masses are allowedare allowed
Interesting for LHC Interesting for LHC benchmark scenarios.benchmark scenarios.
AC, M. Davidkov 1002:2653
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Lepton Flavour ViolationLepton Flavour Violation
e
, , ,e eee eee
e
In the SM with massive neutrinos EXTREMELY small In the SM with massive neutrinos EXTREMELY small
O(10O(10-50-50))Observation of LFV would establish Observation of LFV would establish
physics beyond the SMphysics beyond the SM
best constraints on generic NPbest constraints on generic NP conversionconversion
excellent experimental prospectsexcellent experimental prospectssensitive to Higgs mediated flavour-violationsensitive to Higgs mediated flavour-violation
new predictions for the scalar-nucleon couplingsnew predictions for the scalar-nucleon couplingsAC, M. Procura, M. Hoferichter 1312.4951 AC, M. Procura, M. Hoferichter 1312.4951
Sensitive to flavour-changing Z effectsSensitive to flavour-changing Z effects
23 320, 0
32 230, 0
32 230, 0
Predicted ratio in the 2HDMPredicted ratio in the 2HDM
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Tauonic B decaysTauonic B decays
Br B
ObservableObservable SMSM ExperimenExperimentt
0.115 40.0760.719 10
41.15 0.23 10
* *Br BrB D B D 0.332 0.030
0.440 0.0720.297 0.017
0.252 0.003
Br BrB D B D
All three observables are above the SM prediction
SignificanceSignificance
1.6
2.7
2.0
Tree-level decays in the SM via W-bosonTree-level decays in the SM via W-boson
Sensitive to a charged Higgs due to the Sensitive to a charged Higgs due to the
heavy tau lepton in the final state. heavy tau lepton in the final state.
b
,c u
W
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Type-II 2HDMType-II 2HDM
Tension from
Allowed Allowed
22σσ regions from: regions from:(superimposed)(superimposed)
b s B K /
B D
sB *B D
*B D
LHC
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B→B→τντν in the 2HDM III in the 2HDM III31u Constructive contribution to B→Constructive contribution to B→τντν using is possible while satisfying using is possible while satisfying
the constraints the constraints from FCNCfrom FCNCprocesses.processes.
Allowed Allowed regions from:regions from:
nd
B 2 B 1
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B→DB→D((**))τντν in the 2HDM III in the 2HDM III
32u
B→DB→D((**))τν and B→Dτν can be explained simultaneously using without violating bounds from FCNC τν and B→Dτν can be explained simultaneously using without violating bounds from FCNC processes.processes.
Allowed Allowed regions from:regions from:
Check Check model viamodel via
*B D B D
0 0
0
,H A tc
t h c
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ConclusionsConclusions
Flavor-Physics puts stringent limits on NPFlavor-Physics puts stringent limits on NP
Nearly all measurements agree very well with the Nearly all measurements agree very well with the
SM expectationsSM expectations
Tauonic B decays might be a hint for NP???Tauonic B decays might be a hint for NP???
A charged Higgs boson in a 2HDM with flavour-A charged Higgs boson in a 2HDM with flavour-
violation in the up sector might explain thisviolation in the up sector might explain this
Search forSearch for 0 0
0
,A H tc
t h c
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Lepton flavour Lepton flavour violating B decaysviolating B decays
sB
tan 30 tan 40 tan 50
Allowed regions respecting Allowed regions respecting
the constraints from andthe constraints from and e
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Loop corrections to Higgs-quark Loop corrections to Higgs-quark couplings in the MSSMcouplings in the MSSM
Before electroweak symmetry breaking After electroweak symmetry breaking
d
f i
Hd d
u
f i
Hd d
d
f i
d LR Hfi A d d dv
u
f i
d LR Hfi Y u d dv
One-to-one correspondence between Higgs-quark couplings and chirality changing self-energies. (In the decoupling limit)
id fd fdid
dH uH
dYdA
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NLO calculation of the quark NLO calculation of the quark self-energiesself-energies
NLO calculation is important for:NLO calculation is important for: Computation of effective Higgs-Computation of effective Higgs-
quark vertices.quark vertices. Determination of the Yukawa Determination of the Yukawa
couplings of the MSSM couplings of the MSSM superpotential.superpotential.
Reduction of the matching scaleReduction of the matching scale
dependencedependence
Examplediagrams
on shellDR