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

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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