$\boldsymbol{\mu^-}$- $\boldsymbol{e^+}$ conversion in upcoming LFV experiments

TL;DR

This paper discusses the potential of $oldsymbol{ extmu^-}$- $oldsymbol{ ext e^+}$ conversion as a promising but underexplored process for detecting lepton flavor and number violation, emphasizing the need for combined experimental and theoretical efforts.

Contribution

It highlights the physics potential of $oldsymbol{ extmu^-}$- $oldsymbol{ ext e^+}$ conversion and advocates for increased research efforts in this area.

Findings

$oldsymbol{ extmu^-}$- $oldsymbol{ ext e^+}$ conversion can detect lepton flavor and number violation.

The process is less studied but offers a promising alternative to established LFV searches.

Advancing this field requires collaboration between nuclear and particle physics communities.

Abstract

We present an illustrative discussion of the physics potential of $\mu^-$- $e^+$ conversion. We point out that this process, although much less frequently studied than the related but much more popular processes of $\mu^-$- $e^-$ conversion and neutrinoless double beta decay, in fact is a promising alternative possibility to detect both lepton flavour and number violation. However, for this goal to be reached, a combined effort of experiments and theory, both in nuclear and particle physics, is necessary to advance. The aim of this paper is to be an "appetiser" to trigger such an initiative.