B_s mixing phase and lepton flavor violation in supersymmetric SU(5)

Abstract

We inspect consequences of the latest B_s mixing phase measurements on lepton flavor violation in a supersymmetric SU(5) theory. The O(1) phase, preferring a non-vanishing squark mixing, generically implies tau -> (e + mu) gamma and mu -> e gamma. Depending on the gaugino and the scalar mass parameters as well as tan beta, the rates turn out to be detectable or even already excessive, if the RR mass insertion of down-type squarks is nonzero. We find that it becomes easy to reconcile B_s mixing phase with lepton flavor violation given: gaugino to scalar squared mass ratio around 1/12, both LL and RR insertions with decent sizes, and low tan beta.

arXiv comment11 pages, updated using phi_s from HFAG, conclusion unchanged

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• $B_s({\bar{B}}_s)$ -> $D_{CP}^{0}K\bar{K}$: Detecting and Discriminating New Physics in $B_s$-${\bar{B}}_s$ Mixing
• CP Violating Lepton Asymmetry from B Decays in Supersymmetric Grand Unified Theories
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• B_s --> mu+mu- in Supersymmetric Grand Unified Theories
• Correlation between direct dark matter detection and Br(B_s -> mu mu) with a large phase of B_s - anti-B_s mixing