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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 ).

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2 Outline: Introduction Introduction Flavor observables Flavor observables Meson mixing Meson mixing Radiative B decays Radiative B decays Lepton flavor violation Lepton flavor violation Tauonic B decays Tauonic B decays Flavor Phenomenology of 2HDMs Flavor Phenomenology of 2HDMs Conclusions Conclusions

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3 Flavor-Physics vs LHC Direct searches probe the scale of NP Λ Limited by available energy Direct searches probe the scale of NP Λ Limited by available energy Flavor physics probes NP indirectly through loop effects Limited by the size of flavor violation δ and the available statistics/precision Flavor physics probes NP indirectly through loop effects Limited by the size of flavor violation δ and the available statistics/precision

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4 Flavor-Physics vs LHC

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5 2HDM of type II (MSSM at tree-level) One Higgs doublet couples only to down-quarks (and charged leptons), the other Higgs doublet couples only to up-quarks. One Higgs doublet couples only to down-quarks (and charged leptons), the other Higgs doublet couples only to up-quarks. 2 additional free parameters: tan(β)=v u /v d and the heavy Higgs mass (MSSM like Higgs potential) 2 additional free parameters: tan(β)=v u /v d and the heavy Higgs mass (MSSM like Higgs potential) eutral Higgs-quark couplings are flavor-conserving. All flavor-violations is due to the CKM matrix: neutral Higgs-quark couplings are flavor-conserving.

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6 2HDM of type III Both Higgs doublets couple simultaneously to up and down quarks. Both Higgs doublets couple simultaneously to up and down quarks. The parameters describe flavor-changing neutral Higgs interactions The parameters describe flavor-changing neutral Higgs interactions In the MSSM, are induced via loops In the MSSM, are induced via loops

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7 New SM predictions New SM predictions Effect of included De Bruyn et al Effect of included De Bruyn et al New lattice result for HPQCD, FLAG New lattice result for HPQCD, FLAG NLO electroweak corrections Bobeth et al NLO electroweak corrections Bobeth et al NNLO QCD corrections Hermann et al NNLO QCD corrections Hermann et al Stringent constraints on scalar operators (e.g. Higgs induced flavor-violation) Stringent constraints on scalar operators (e.g. Higgs induced flavor-violation) Starting to probe vector operators Starting to probe vector operators

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8 Constraints on NP models from and Plot from David Straub’s talk

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9 NNLO QCD corrections NNLO QCD corrections Best constraints on the charged Higgs mass Best constraints on the charged Higgs mass Hadronic uncertainties largely drop out in the CP averaged BR Benzke et al , Hurth et al Hadronic uncertainties largely drop out in the CP averaged BR Benzke et al , Hurth et al AC, L. Mercolli Preliminary, M. Misiak, talk in Portoroz Hermann et al

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10 Meson mixing Kaon mixing Kaon mixing Very sensitive to NP with additional phases generic NP > TeV Most stringent constraints on extra dimensions Very sensitive to NP with additional phases generic NP > TeV Most stringent constraints on extra dimensions B s, B d mixing B s, B d mixing Now in good agreement with the SM Now in good agreement with the SM D mixing D mixing Poor SM prediction for the mass difference due to non-perturbative effects Poor SM prediction for the mass difference due to non-perturbative effects No sign for additional phases No sign for additional phases For an review see e.g. Lenz, Nierste et al. arXiv: arXiv:

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11 Squark mass splitting in the MSSM: Constraints from Kaon and D mixing Maximally allowed mass-splitting Alignment to Y d Constraints from D mixing Alignment to Y u Constraints from Kaon mixing Minimally allowed mass-splitting Cancellations between different contributions Non-degenerate squark masses are allowed Cancellations between different contributions Non-degenerate squark masses are allowed Interesting for LHC benchmark scenarios. Interesting for LHC benchmark scenarios. AC, M. Davidkov 1002:2653

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12 Lepton Flavour Violation In the SM with massive neutrinos EXTREMELY small O( ) Observation of LFV would establish physics beyond the SM In the SM with massive neutrinos EXTREMELY small O( ) Observation of LFV would establish physics beyond the SM best constraints on generic NP best constraints on generic NP conversion excellent experimental prospects sensitive to Higgs mediated flavour-violation conversion excellent experimental prospects sensitive to Higgs mediated flavour-violation new predictions for the scalar-nucleon couplings AC, M. Procura, M. Hoferichter Sensitive to flavour-changing Z effects Sensitive to flavour-changing Z effects Predicted ratio in the 2HDM

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13 Tauonic B decays ObservableSMExperiment All three observables are above the SM predictionSignificance Tree-level decays in the SM via W-boson Tree-level decays in the SM via W-boson Sensitive to a charged Higgs due to the heavy tau lepton in the final state. Sensitive to a charged Higgs due to the heavy tau lepton in the final state.

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14 Type-II 2HDM Tension from Allowed 2σ regions from: (superimposed) Allowed 2σ regions from: (superimposed)

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15 B→τν in the 2HDM III Constructive contribution to B→τν using is possible while satisfying the constraints from FCNC processes. Constructive contribution to B→τν using is possible while satisfying the constraints from FCNC processes.Allowed regions from:

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16 B→D ( * ) τν in the 2HDM III B→D ( * ) τν and B→Dτν can be explained simultaneously using without violating bounds from FCNC processes. B→D ( * ) τν and B→Dτν can be explained simultaneously using without violating bounds from FCNC processes. Allowed Allowed regions from: regions from: Check model via

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17 Conclusions Flavor-Physics puts stringent limits on NP Flavor-Physics puts stringent limits on NP Nearly all measurements agree very well with the SM expectations Nearly all measurements agree very well with the SM 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- violation in the up sector might explain this Search for A charged Higgs boson in a 2HDM with flavour- violation in the up sector might explain this Search for

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18 Lepton flavour violating B decays Allowed regions respecting the constraints from and

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19 Loop corrections to Higgs-quark couplings in the MSSM Before electroweak symmetry breaking After electroweak symmetry breaking One-to-one correspondence between Higgs-quark couplings and chirality changing self-energies. (In the decoupling limit)

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20 NLO calculation of the quark self-energies NLO calculation is important for: Computation of effective Higgs- quark vertices. Computation of effective Higgs- quark vertices. Determination of the Yukawa couplings of the MSSM superpotential. Determination of the Yukawa couplings of the MSSM superpotential. Reduction of the matching scale dependence Example diagrams

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