Lepton-flavor violation and $(g-2)_\mu$ in the $\mu\nu$SSM

TL;DR

This paper explores lepton-flavor violation and the muon anomalous magnetic moment within the $mbda$nuSSM, showing potential detectable signals and constraining the model's parameter space.

Contribution

It provides detailed analysis of lepton-flavor violating processes and muon g-2 in the $mbda$nuSSM, including numerical predictions and scalar sector considerations.

Findings

Branching ratios for $mbda ightarrow e ext{ or } au$ processes can reach $10^{-12}$.

Parameter space constraints from muon g-2 are discussed.

Goldstone bosons are explicitly separated in the scalar sector.

Abstract

Within framework of the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM), exotic singlet right-handed neutrino superfields induce new sources for lepton-flavor violation. In this work, we investigate some lepton-flavor violating processes in detail in the $\mu\nu$SSM. The numerical results indicate that the branching ratios for lepton-flavor violating processes $\mu\rightarrow e\gamma$, $\tau\rightarrow\mu\gamma$ and $\mu\rightarrow3e$ can reach $10^{-12}$ when $\tan\beta$ is large enough, which can be detected in near future. We also discuss the constraint on the relevant parameter space of the model from the muon anomalous magnetic dipole moment. In addition, from the scalars for the $\mu\nu$SSM we strictly separate the Goldstone bosons, which disappear in the physical gauge.