Renormalisation-group improved analysis of μ → e processes in a systematic effective-field-theory approach
By Andreas Crivellin, S. Davidson, G. M. Pruna, A. Signer. 2017
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A bstractIn this article, a complete analysis of the three muonic lepton-flavour violating processes μ → eγ, μ → 3e and coherent nuclear μ → e conversion is performed in the framework of an effective theory with dimension six operators defined below the electroweak symmetry breaking scale mW . The renormalisation-group evolution of the Wilson coefficients between mW 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 mW . 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e914e9b95a281457d47bce0a5e2b97c092b5d87b
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Citations in the corpus
- Charged Lepton Flavour Violation: An Experimental and Theoretical Introduction (2017, background): “The effects of the RG running above and below the EW scale – where a basis of operators invariant under SU(3)c × U(1)Q only has to be employed – and the matching have been discussed in detail in [115, 117, 118], where several examples of the resulting correlations among operators are provided.”