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

Abstract

Recently, the CMS and ATLAS Collaborations have reported direct search for the 125 GeV Higgs decay with lepton flavor violation, \(h\rightarrow \mu \tau\), which show a slight deviation from the Standard Model (SM). 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 discuss the constraints from the LFV decay \(\tau \rightarrow \mu \gamma\), the muon anomalous magnetic dipole moment and the light Higgs mass.