Muon conversion to an eletron in nuclei in the $B-L$ symmetric SSM

TL;DR

This paper investigates muon-to-electron conversion in nuclei within a supersymmetric model with B-L symmetry, predicting rates that could be detectable by upcoming experiments, thus providing a potential test for new physics beyond the Standard Model.

Contribution

It provides the first analysis of $$ conversion rates in the B-LSSM, showing they can be significantly higher than experimental sensitivities, offering a promising avenue for new physics detection.

Findings

$$ conversion rates can reach $^{-12}$ in B-LSSM.

Predicted rates are five orders of magnitude above future experimental sensitivities.

Constraints from $ ightarrow  ext{gamma}$ decay limit the parameter space.

Abstract

In a few years, the COMET experiment at J-PARC and the Mu2e experiment at Fermilab will probe the $\mu-e$ conversion rate in the vicinity of $\mathcal{O}(10^{-17})$ for an Al target with high experimental sensitivity. Within the framework of the minimal supersymmetric extension of the Standard Model with local $B-L$ gauge symmetry (B-LSSM), we analyze the lepton flavor violating (LFV) process of $\mu-e$ conversion in nuclei. Considering the constraint of the experimental upper limit of the LFV rare decay $\mu\rightarrow e\gamma$, the $\mu-e$ conversion rates in nuclei within the B-LSSM can achieve $\mathcal{O}(10^{-12})$, which is 5 orders of magnitude larger than the future experimental sensitivity at the Mu2e and COMET experiments and may be detected in the near future.