Expected Limits on R-symmetric $\mu \to e $ Processes at Project X

TL;DR

This paper analyzes the potential of Project X to set new limits on muon-to-electron conversion processes within the Minimal R-symmetric Standard Model, highlighting the most sensitive experimental channels.

Contribution

It provides expected bounds on $ ext{mu} o e$ processes at Project X, emphasizing the dominant role of muon-to-electron conversion in constraining model parameters.

Findings

$ ext{mu} o e$ conversion constrains mixing parameters to $ extless{} 10^{-3}$

$ ext{mu} o eee$ offers limited additional bounds

$ ext{mu} o e ext{gamma}$ does not improve existing limits

Abstract

We investigate $\mu \to e$ processes in the Minimal R-symmetric Standrad Model (MRSSM) with the expected limits from Project X. It is found that $\mu \to e$ conversion provides the tightest bound on the $\mu \to e$ mixing parameters at the order of $\lesssim O(10^{-3})$. Whereas $\mu \to eee$ only slightly improves the bound in the region where incoherence among different contributions to $\mu \to e$ is significant. No improvements on the bounds are obtained from $\mu \to e \gamma$.