Correlation between ΔMs and B0s,d→μ+μ− in supersymmetry at large tanβ

Abstract

Considering the MSSM with the CKM matrix as the only source of flavour violation and heavy supersymmetric particles at large tan β, we analyze the correlation between the increase of the rates of the decays B 0 s,d → µ + µ − and the suppression of ∆M s , that are caused by the enhanced flavour changing neutral Higgs couplings to down-type quarks. We give analytic formulae for the neutral and charged Higgs couplings to quarks including large tan β resummed corrections in the SU (2) × U (1) limit and comment briefly on the accuracy of this approximation. For 0.8 However, we point out that in the less likely scenario in which the squark mixing is so large that the neutral Higgs contributions dominate ∆M s , the rates for B 0 s,d → µ + µ − increase with increasing ∆M s and the bounds in question are weaker. Violation of all these correlations and bounds would indicate new sources of flavour violation.

Extended minimal flavour violating MSSM and implications for B physics

“…We note that the tan 4 β S enhanced contributions to the coefficients C 2,3 whose presence is pointed out in Ref. [9], do not impact significantly for the range of SUSY parameters that we consider (tan β S < 35 and |θt| < π/10).…”

RelatingD0−D¯0mixing andD0→l+Golowich1, Hewett2, Pakvasa3 et al. 2009Phys. Rev. D9711860View full textAdd to dashboardCite

“…Lastly, we note that in contrast to the B s system [35], D → ℓ + ℓ − does not receive a sizable contribution from Higgs boson exchange with large tan β. This is because in this case, the loop-induced term to the Yukawa couplings is proportional to v d (i.e., the vev of the Higgs doublet that generates masses for the down-type quarks) which is the smaller of the two vevs and hence does not compensate for the small loop factor.…”

Hadronic B decays in the MSSM with large tan β

“…The minimal supersymmetric SM (MSSM) with large ratio tan β of the Higgs vacuum expectation values and no new sources of flavour violation in the supersymmetry-breaking Lagrangian is an example of such a minimally flavour-violating (MFV) theory, which nevertheless may exhibit sizeable differences from the SM due to Higgs exchange. The leptonic B s → µ + µ − and B + → τ + ν τ decays have been extensively studied in this model, as well as meson mixing and B → Dτ ν τ [1,2,3,4,5,6,7,8,9,10,11,12,13]. Higgs exchange also generates scalar four-quark operators, which contribute to non-leptonic B decays.…”