# Renormalisation-group improved analysis of $\mu\to e$ processes in a systematic effective-field-theory approach

Abstract : In this article, a complete analysis of the three muonic lepton-flavour violating processes $\mu\to e \gamma$, $\mu\to 3e$ and coherent nuclear $\mu\to e$ conversion is performed in the framework of an effective theory with dimension six operators defined below the electroweak symmetry breaking scale $m_W$. The renormalisation-group evolution of the Wilson coefficients between $m_W$ and the experimental scale is fully taken into account at the leading order in QCD and QED, and explicit analytic and numerical evolution matrices are given. As a result, muonic decay and conversion rates are interpreted as functions of the Wilson coefficients at any scale up to $m_W$. Taking the experimental limits on these processes as input, the phenomenology of the mixing effects is investigated. It is found that a considerable set of Wilson coefficients unbounded in the simplistic tree-level approach are instead severely constrained. In addition, correlations among operators are studied both in the light of current data and future experimental prospects.
Type de document :
Pré-publication, Document de travail
28 pages, 5 figures; references added in V2. 2017

http://hal.in2p3.fr/in2p3-01468517
Contributeur : Sylvie Flores <>
Soumis le : mercredi 15 février 2017 - 15:12:56
Dernière modification le : mardi 16 janvier 2018 - 15:33:52

### Identifiants

• HAL Id : in2p3-01468517, version 1
• ARXIV : 1702.03020

### Citation

A. Crivellin, S. Davidson, G.M. Pruna, A. Signer. Renormalisation-group improved analysis of $\mu\to e$ processes in a systematic effective-field-theory approach. 28 pages, 5 figures; references added in V2. 2017. 〈in2p3-01468517〉

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