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

TL;DR

This paper explores how recent measurements of the B_s mixing phase impact lepton flavor violation predictions in supersymmetric SU(5), highlighting conditions under which these phenomena are detectable or constrained.

Contribution

It demonstrates the correlation between B_s mixing phase measurements and lepton flavor violation in supersymmetric SU(5), identifying parameter regimes that reconcile both.

Findings

B_s mixing phase suggests non-zero squark mixing.

Lepton flavor violation rates depend on gaugino and scalar masses, and tan beta.

Certain parameter choices can make lepton flavor violation detectable or already constrained.

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.