Abstract

The recent experimental status, including the confirmation of the muon g − 2 anomaly at Fermilab, indicates a Beyond Standard Model (BSM) satisfying the following properties: 1) it enhances the g − 2 2) suppresses flavor violations, such as μ → eγ, 3) suppresses CP violations, such as the electron electric dipole moment (EDM). In this letter, I show that the eigenbasis of the mass matrix and higher dimensional photon operators can be automatically aligned if the masses of heavy leptons are generated radiatively together with the g − 2. As a result, the muon g − 2 is enhanced but the EDM of the electron and μ → eγ rate are naturally suppressed. Phenomenology and applications of the mechanism to the B-physics anomalies are argued.

Highlights

  • I show that the μ → eγ rate and the electron EDM are naturally suppressed when the muon g − 2 is explained together with inducing the radiative lepton mass

  • We propose that if the heavy lepton masses are dominantly generated through the quark-leptoquark loop proportional to top-quark Yukawa coupling, the higher dimensional photon couplings are aligned with the heavy lepton mass vectors

  • The large muon g − 2 but suppressed μ → eγ and electron EDM is a hint of the flavor and CP structure of the BSM

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Summary

Lepton-slepton-bino-like system

We consider a simplified model similar to the lepton-slepton-bino system in the MSSM models (See refs. [33,34,35,36,37] for the muon g − 2 explanations, and the both explanations of the muon and electron g − 2 [20] in this system). We further perform a field redefinition to obtain positive Mλ and A In this basis, gLgR∗ has a non-vanishing CP phase in general. By integrating out the BSM fields we obtain a radiatively induced Yukawa coupling at the one-loop level: δY √. We note that < 1 is needed for the vacuum stability of the “slepton” potential In this case, it is easy to generate the lepton mass around 0.1 − 10 GeV. We can remove the CP phases of both δY and Cγ simultaneously by the field redefinition [18]. This is a specific feature of this model and is not satisfied in general UV models for our alignment mechanism. We may have the WIMP miracle, and the signal of heavy lepton pair in the indirect detection experiment may be a good probe of this scenario

Discussion and conclusions
Conclusions
A RG analysis of the wave function renormalization
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