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In this article, we perform an extensive study of flavor observables in a two-Higgs-doublet model (2HDM) with generic Yukawa structure (of type III). This model is interesting not only because it is the decoupling limit of the Minimal Supersymmetric Standard Model (MSSM) but also because of its rich flavor phenomenology which also allows for sizable effects not only in FCNC processes but also in tauonic B decays. We examine the possible effects in flavor physics and constrain the model both from tree-level processes and from loop-observables. The free parameters of the model are the heavy Higgs mass, tan β (the ratio of vacuum expectation values) and the "non-holomorphic". In our analysis we constrain the elements ǫ f ij in various ways: In a first step we give order of magnitude constraints on ǫ f ij from 't Hooft's naturalness criterion, finding that all ǫ f ij must be rather small unless the third generation is involved. In a second step, we constrain the Yukawa structure of the type-III 2HDM from tree-level FCNC processesand µ − → e − e + e − ) and observe that all flavor off-diagonal elements of these couplings, except ǫ u 32,31 and ǫ u 23,13 must be very small in order to satisfy the current experimental bounds. In a third step, we consider Higgs mediated loop contributions to FCNC processes (b → s(d)γ, B s,d mixing, K − K mixing and µ → eγ) finding that also ǫ u 13 and ǫ u 23 must be very small, while the bounds on ǫ u 31 and ǫ u 32 are especially weak. Furthermore, considering the constraints from electric dipole moments (EDMs) we obtain constrains on some parameters ǫ u,ℓ ij . Taking into account the constraints from FCNC processes we study the size of possible effects in the tauonic B decaysand τ → K(π)ν which are all sensitive to tree-level charged Higgs exchange. Interestingly, the unconstrained ǫ u 32,31 are just the elements which directly enter the branching ratios for B → τ ν , B → Dτ ν and B → D * τ ν . We show that they can explain the deviations from the SM predictions in these processes without fine tuning. Furthermore, B → τ ν , B → Dτ ν and B → D * τ ν can even be explained simultaneously. Finally, we give upper limits on the branching ratios of the lepton flavor-violating neutral B meson decays (B s,d → µe, B s,d → τ e and B s,d → τ µ) and correlate the radiative lepton decays (τ → µγ, τ → eγ and µ → eγ) to the corresponding neutral current lepton decays (τ − → µ − µ + µ − , τ − → e − µ + µ − and µ − → e − e + e − ). A detailed appendix contains all relevant information for the considered processes for general scalar-fermion-fermion couplings.
We provide results for the full set of form factors describing semileptonic Bmeson transitions to pseudoscalar mesons π, K,D and vector mesons ρ, K * ,D * . Our results are obtained within the framework of QCD Light-Cone Sum Rules with B-meson distribution amplitudes. We recalculate and confirm the results for the leading-twist twoparticle contributions in the literature. Furthermore, we calculate and provide new expressions for the two-particle contributions up to twist four. Following new developments for the three-particle distribution amplitudes, we calculate and provide new results for the complete set of three-particle contributions up to twist four. The form factors are computed numerically at several phase space points using up-to-date input parameters, including correlations across phase space points and form factors. We use a model ansatz for all contributing B-meson distribution amplitudes that is self-consistent up to twistfour accuracy. We find that the higher-twist two-particle contributions have a substantial impact on the results, and dominate over the three-particle contributions. Our numerical results, including correlations, are provided as machine-readable ancillary files. We discuss the qualitative phenomenological impact of our results on the present b anomalies.
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