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

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 $\mu \to e\gamma$, 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.

27 pages, 11 figures, published in Physical Review D. arXiv admin note: text overlap with arXiv:2105.09799

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