125 GeV Higgs decay with lepton flavor violation in the $\mu\nu$SSM

TL;DR

This paper investigates the lepton flavor violating decay of the 125 GeV Higgs boson into muon and tau within the $ u$SSM framework, considering experimental constraints from LFV processes and muon magnetic moment.

Contribution

It provides a detailed analysis of LFV Higgs decay signals in the $ u$SSM, incorporating slepton flavor mixing and experimental constraints.

Findings

LFV decay $h\rightarrow \mu \tau$ can be significant within the model.

Constraints from $\tau \rightarrow \mu \gamma$ and muon g-2 restrict parameter space.

Predictions align with current experimental bounds.

Abstract

Recently, the CMS and ATLAS Collaborations have reported direct searches for the 125 GeV Higgs decay with lepton flavor violation, $h\rightarrow \mu \tau$. In this work, we analyze the signal of the lepton flavour violating (LFV) Higgs decay $h\rightarrow \mu \tau$ in the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM) with slepton flavor mixing. Simultaneously, we consider the constraints from the LFV decay $\tau \rightarrow \mu \gamma$, the muon anomalous magnetic dipole moment and the lightest Higgs mass around 125 GeV.