Mu to e gamma and matching at mW

Abstract : Several experiments search for \mu - e flavour change, for instance in \mu ->e conversion, \mu-> e \gamma, and \mu -> 3e. This paper studies how to translate these experimental constraints from low energy to a New Physics scale M >> mW. A basis of QCD and QED-invariant operators (as appropriate below mW) is constructed, then run to mW with one-loop RGEs of QCD and QED. At mW, these operators are matched onto SU(2)-invariant dimension-six operators, which can continue to run up with electroweak RGEs. As an example, the \mu-> e \gamma bound is translated to the scale M, where it constrains two sums of operators. The constraints differ from those obtained in previous EFT analyses of \mu -> e \gamma, but reproduce the expected bounds on flavour-changing interactions of the Z and the Higgs, because the matching at mW is pragmatically performed to the loop order required to get the "leading" contribution.
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http://hal.in2p3.fr/in2p3-01262660
Contributor : Sylvie Flores <>
Submitted on : Wednesday, January 27, 2016 - 7:39:43 AM
Last modification on : Thursday, March 15, 2018 - 11:40:07 AM

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S. Davidson. Mu to e gamma and matching at mW. European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2016, 76, pp.370. ⟨10.1140/epjc/s10052-016-4207-5⟩. ⟨in2p3-01262660⟩

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