Charged lepton flavor violation on target at GeV scale

TL;DR

This paper investigates the potential of using GeV-scale electron or positron beams on targets to detect lepton flavor violation involving tau leptons, offering a complementary approach to tau decay studies.

Contribution

It introduces a novel method to study lepton flavor violation through $e+ T o au + T'$ processes at GeV energies, comparing its sensitivity to tau decay experiments.

Findings

The process can be studied with existing GeV-scale facilities.

Sensitivity to lepton flavor violation is comparable to tau decay constraints.

Provides an alternative experimental avenue for lepton flavor violation detection.

Abstract

We study the lepton flavor violating process, $e+ T \to \tau +T'$, at a few GeV. This process can be studied by experiments directing GeV scale electron or positron beams on internal or fixed targets. We study the effects of some low energy lepton flavor violating interactions on this process. We study the sensitivities of this process on these low energy lepton flavor violating interactions and compare them to the sensitivities of lepton flavor violating $\tau$ decay processes. Comparing with $\tau$ decay processes, this process provides another way to study the lepton flavor violating effects with $e-\tau$ conversion and it can be searched for in facilities with GeV scale electron or positron beams which are available in a number of laboratories in the world.