Trimuon production at the LHC

TL;DR

This paper proposes a novel LHC process involving three muons and one electron to explore models with doubly charged vector bileptons, potentially revealing new physics beyond the Standard Model.

Contribution

It introduces a new process for studying doubly charged vector bileptons that violates lepton flavor number conservation and is free from Standard Model background.

Findings

Potential to explore new physics at current LHC conditions.

Parameter space analysis shows promising regions for detection.

Impact of PMNS-like matrix on observables analyzed.

Abstract

No process without a standard model (SM) background has been observed so far. As a tool in the study of a class of models containing doubly charged vector bileptons, we propose one such process that, violating lepton flavor number conservation, has no contribution from the SM: $pp\to \mu^+\mu^+\mu^- e^-$. By carefully isolating the parameters to keep them free, we are able to acquire a notion of how a possible PMNS-like matrix present in the relevant charged current parametrization could affect the observables. We find that an interesting section of the space of parameters can be explored at the current LHC in the specified conditions.