Way to crosscheck $\mu$-$e$ conversion in the case of no signals of $\mu \to e \gamma$ and $\mu \to 3e$

TL;DR

This paper explores how to confirm mu-e conversion signals in RPV SUSY models through collider signatures at the LHC, especially when other charged lepton flavor violation processes are not observed.

Contribution

It introduces the first graphical analysis of correlations between mu-e conversion rates and collider cross sections in RPV SUSY models, aiding parameter determination.

Findings

Correlations between mu-e conversion and collider processes are established.

Feasibility of parameter determination from these correlations is discussed.

R-parity violating SUSY models can explain mu-e conversion signals without other cLFV signals.

Abstract

We consider the case that $\mu$-$e$ conversion signal is discovered but other charged lepton flavor violating (cLFV) processes will never be found. In such a case, we need other approaches to confirm the $\mu$-$e$ conversion and its underlying physics without conventional cLFV searches. We study R-parity violating (RPV) SUSY models as a benchmark. We briefly review that our interesting case is realized in RPV SUSY models with reasonable settings according to current theoretical/experimental status. We focus on the exotic collider signatures at the LHC ($pp \to \mu^- e^+$ and $pp \to jj$) as the other approaches. We show the correlations between the branching ratio of $\mu$-$e$ conversion process and cross sections of these processes. It is first time that the correlations are graphically shown. We exhibit the RPV parameter dependence of the branching ratio and the cross sections, and discuss the feasibility to determine the parameters.