Reach and complementarity of searches

Sacha Davidson; Bertrand Echenard

doi:10.1140/epjc/s10052-022-10773-4

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 836
https://doi.org/10.1140/epjc/s10052-022-10773-4

Regular Article - Theoretical Physics

Reach and complementarity of $μ \to e$ $\mu \rightarrow e$ searches

Sacha Davidson¹^a and Bertrand Echenard²

¹ LUPM, CNRS, Université Montpellier, Place Eugene Bataillon, 34095, Montpellier Cedex 5, France
² California Institute of Technology, 91125, Pasadena, CA, USA

^a s.davidson@lupm.in2p3.fr

Received: 31 May 2022
Accepted: 31 August 2022
Published online: 24 September 2022

Abstract

In Effective Field Theory, we describe $μ \leftrightarrow e$ $\mu \leftrightarrow e$ flavour changing transitions using an operator basis motivated by experimental observables. This implies that $μ \to e_{L} γ$ $\mu \rightarrow e_L \gamma$ , $μ \to e_{L} \bar{e} e$ $\mu \rightarrow e_L \bar{e} e$ and $μ \to e_{L}$ $\mu \rightarrow e_L$ conversion on nuclei probe a six-dimensional subspace, where we derive constraints on the New Physics scale from past and future experiments, illustrating the complementarity of the processes in an intuitive way.

© The Author(s) 2022

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