B_s,d→ell⁺ell⁻andK_L→ell⁺ell⁻in SUSY models with non-minimal sources of flavour mixing

Abstract

We present a general analysis of B s,d → ℓ + ℓ − and K L → ℓ + ℓ − decays in supersymmetric models with non-minimal sources of flavour mixing. In spite of the existing constraints on off-diagonal squark mass terms, these modes could still receive sizeable corrections, mainly because of Higgs-mediated FCNCs arising at large tan β. The severe limits on scenarios with large tan β and non-negligiblẽ d i R(L) -d j R(L) mixing imposed by the present experimental bounds on these modes and ∆B = 2 observables are discussed in detail. In particular, we show that scalarcurrent contributions to K L → ℓ + ℓ − and B-B mixing set non-trivial constraints on the possibility that B s → ℓ + ℓ − and B d → ℓ + ℓ − receive large corrections.

Quark flavor violating Higgs boson decayh→b¯s+bs¯in the MSSM

“…Here we start with the brief description of the evaluation of several B-physics observables (BPO): BR(B → X s γ), BR(B s → µ + µ − ) and ∆M Bs . Concerning BR(B → X s γ) included in the calculation are the most relevant loop contributions to the Wilson coefficients: (i) loops with Higgs bosons (including the resummation of large tan β effects [29]), (ii) loops with charginos and (iii) loops with gluinos. For BR(B s → µ + µ − ) there are three types of relevant one-loop corrections contributing to the relevant Wilson coefficients: (i) Box diagrams, (ii) Z-penguin diagrams and (iii) neutral Higgs boson φ-penguin diagrams, where φ denotes the three neutral MSSM Higgs bosons, φ = h, H, A (again large resummed tan β effects have been taken into account).…”

Higgs boson masses and B-physics constraints in Non-Minimal Flavor Violating SUSY scenarios

“…A summary of this effective Lagrangian formalism for the resummation of large tan β effects in the three B observables of our interest, within the context of MFV scenarios, can be found in [55]. We follow here the treatment of [56] where the resummation of large tan β effects via effective Lagrangians is generalized to the case where the effectived…”

“…In contrast, in SUSY scenarios the scalar and pseudo-scalar operators, O S,P , can be very important, particularly at large tan β > ∼ 30 where the contributions to C S and C P from neutral Higgs penguin diagrams can become large and dominate the branching ratio, because in this case the branching ratio grows with tan β as tan 6 β. The studies in the literature of these MSSM Higgs-penguin contributions to BR(B s → µ + µ − ) have focused on both MFV [54,66,67] and NMFV scenarios [33,56,61,64]. In both cases the rates for BR(B s → µ + µ − ) at large tan β can be enhanced by a few orders of magnitude compared with the prediction in the SM, therefore providing an optimal window for SUSY signals.…”

“…In the case of contributions from H-penguin diagrams to B s → µ + µ − this resummation is very relevant and it has been generalized to NMFV-SUSY scenarios in [56].…”

New two-loop contributions to hadronic EDMs in the MSSM

“…[11,12], in order to compute all the non-decoupling effects at large tan β one needs to: i) evaluate the effective dimension-four operators appearing at one-loop level which modify the tree-level Yukawa Lagrangian; ii) expand the off-diagonal mass terms in the squark sector by means of the mass-insertion approximation; iii) diagonalize the quark mass terms and derive the effective interactions between quarks and heavy Higgs fields. 1 The bino diagrams similar to Fig.…”