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

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.

25pages

References in corpus (5)

• Non-standard neutrino interactions in reactor and superbeam experiments
• Lepton flavor violation in low-scale seesaw models: SUSY and non-SUSY contributions
• Improved predictions for $\mu \to e$ conversion in nuclei and Higgs-induced lepton flavor violation
• New bounds on trilinear R-parity violation from lepton flavor violating observables
• Higgs sector in NMSSM with right-handed neutrinos and spontaneous R-parity violation

Cited by in corpus (5)

• Muon conversion to electron in nuclei in Minimal R-symmetric Supersymmetric Standard Model
• Charged Lepton Flavor Violation in the Semi-Constrained NMSSM with Right-Handed Neutrinos
• Muon-Electron Conversion in a Family Gauge Boson Model
• Search for R-Parity-Violation-Induced Charged Lepton Flavor Violation at Future Lepton Colliders
• Muon conversion to an eletron in nuclei in the $B-L$ symmetric SSM