Search for R-parity violation from J-PARC and LHC

TL;DR

This paper explores how R-parity violating SUSY models can be tested through collider signatures at the LHC, especially if mu-e conversion signals are observed without other charged lepton flavor violation signals, by analyzing correlations between conversion rates and collider cross sections.

Contribution

It introduces the first graphical analysis of correlations between mu-e conversion rates and collider cross sections in RPV SUSY models, providing a new approach to probe underlying physics.

Findings

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

Parameter dependence of observables is analyzed.

Feasibility of parameter determination at LHC 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.