Predictions for $B \to \tau \bar{\mu} + \mu \bar{\tau} $

TL;DR

This paper predicts the rates of lepton flavor violating B meson decays involving tau and muons within 2HDM and MSSM frameworks, highlighting potential signals of new physics detectable at experiments.

Contribution

It provides detailed calculations of $B o au ar{ au} + au ar{ au}$ decay rates in two different beyond Standard Model theories, linking them to possible experimental observations.

Findings

2HDM predicts $BR(B_s o \tau \bar{\mu} + \mu \bar{\tau}) \sim 10^{-6}$

MSSM predicts $BR(B_s \to \tau \bar{\mu} + \mu \bar{\tau}) \sim 10^{-11}$

Decay rates vary significantly between models, indicating different experimental signatures.

Abstract

The observation of $B \to \tau \bar{\mu} + \mu \bar{\tau} $ at present experiments would be a clear sign of new physics. In this paper we calculate this process in a 2HDM framework where the decay is mediated by the exchange of spin zero particle with flavour changing neutral current couplings. If we identify the scalar with the the newly discovered state at LHC with a mass $% \sim 125 $ GeV then we get $BR(B_s \to \tau \bar{\mu} + \mu \bar{\tau}) \sim 10^{-6}$ and $BR(B_d \to \tau \bar{\mu} + \mu \bar{\tau}) \sim 10^{-7}$. We also calculate this process in minimal supersymmetric standard model and find $BR(B_s \to \tau \bar{\mu} + \mu \bar{\tau}) \sim 10^{-11}$.