Mu to e gamma in the 2 Higgs Doublet Model: an exercise in EFT

Abstract

The 2 Higgs Doublet Model (2HDM) of type III has renormalisable Lepton Flavour-Violating couplings, and its one and two-loop ("Barr-Zee") contributions to $\mu \to e\gamma$ are known. In the decoupling limit, where the mass scale M of the second doublet is much greater than the electroweak scale, the model can be parametrised with an Effective Field Theory(EFT) containing dimension six operators. The $1/M^2$ terms of the exact calculation are reproduced in the EFT, provided that the four-fermion operator basis below the weak scale is enlarged with respect to the SU(2)-invariant Buchmuller-Wyler list. The two-loop "Barr-Zee" contributions are located in the EFT, showing that two-loop matching and running would be required to obtain the most important contributions, and that dimension eight operators can be numerically relevant.

version accepted for publication

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Cited by in corpus (4)

• Renormalisation-group improved analysis of $\mu \to e$ processes in a systematic effective-field-theory approach
• Effective field theory interpretation of lepton magnetic and electric dipole moments
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Two-body lepton-flavour-violating decays in a 2HDM with soft family-lepton-number breaking