Rate difference between b $\to$ s mu^+ mu^- and b $\to$ s e^+e^- in SUSY with large tan$\beta$

Abstract

We study the inclusive semileptonic rare decay $b\to s{l}^{+}{l}^{-}$ in minimal supergravity model (mSUGRA). If tan$\beta$ is large, down-type quark mass matrices and their Yukawa couplings cannot be diagonalized at the same basis. This induces the flavor violating neutral Higgs boson couplings. These couplings contribute significantly to decay $b\to sm{u}^{+}m{u}^{-}$ and $b\to sta{u}^{+}ta{u}^{-}$, but negligible to $b\to s{e}^{+}{e}^{-}$ decay because of its negligible $m_e$ mass. The ratio $R\equiv B(b\to sm{u}^{+}m{u}^{-})/B(b\to s{e}^{+}{e}^{-})$ can be very different from its corresponding value in the Standard Model. We find that part of parameter space can accommodate a large R value, and that maximum R value can be larger than 2. We also present our results in $b\to sta{u}^{+}ta{u}^{-}$ decay channel. Although it can be not detected now, it is potentially a new channel for the future observation of new physics.

9 pages and 4 figures

References in corpus (5)

• Updated Constraints on the Minimal Supergravity Model
• Correlation between Delta M_s and B^0_{s,d} --> mu^+ mu^- in Supersymmetry at Large tan beta
• Higgs-mediated leptonic decays of B_s and B_d mesons as probes of supersymmetry
• Lepton Polarization and Forward-Backward Asymmetries in b -> s tau+ tau-
• SUSY breaking mediation mechanisms and (g-2)_μ, B -> X_s γ, B -> X_{s} l^+ l^- and B_s -> μ^+ μ^-

Cited by in corpus (9)

• More Model-Independent Analysis of b->s Processes
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Test of lepton universality in beauty-quark decays
• Test of lepton universality in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Measurement of lepton universality parameters in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ and $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• B meson Dileptonic Decays in NMSSM with a Light CP-odd Higgs Boson
• A comparative study on $B \rar K^\ast \ell^+ \ell^-$ and $B \rar K_0^\ast (1430) \ell^+ \ell^-$ decays in the Supersymmetric Models
• Test of lepton flavour universality with $B^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays