$B_s \to \mu \tau$ and $h \to \mu \tau$ decays in the general two Higgs doublet model

TL;DR

This paper investigates lepton flavor-violating decays $B_s o $ and $h o $ within a general two Higgs doublet model, motivated by recent experimental hints and their potential observability at future colliders.

Contribution

It introduces a comprehensive analysis of LFV $B_s$ and Higgs decays in the general 2HDM, linking them to muon g-2 and tau LFV processes, and predicts sizable decay rates.

Findings

$B_s $ decay rates could be detectable at LHCb and Belle-II.

LFV Higgs decay $h o $ is consistent with CMS observations.

Model explains muon g-2 anomaly while predicting observable LFV decays.

Abstract

Inspired by the recent measurement of the $h \to \mu \tau$ decays by the CMS collaboration at the LHC, we study the lepton flavour-violating (LFV) $B_s \to \mu \tau$ decays in the general two Higgs doublet model. Those LFV interactions could accommodate the present deviation of the muon anomalous magnetic moment and also predict the LFV $\tau$ decay processes such as $\tau \to \mu \mu \mu$ and $\tau \to \mu \gamma$. We find that the $B_s \to \mu \tau$ decay rates should be sizable with above experimental conditions in the framework of our model. These processes are expected to be observed at the colliders such as LHCb and Belle-II in the future.