A 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 cLFV processes are not observed, by analyzing correlations between conversion rates and collider cross sections.

Contribution

It introduces the first graphical analysis of correlations between mu-e conversion and collider signatures in RPV SUSY, providing a new method to verify signals without conventional cLFV searches.

Findings

Correlations between mu-e conversion and collider cross sections are established.

R-parity violating parameters influence both conversion rates and collider signatures.

Feasibility of parameter determination from collider data is discussed.

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.