Correlation Between Muon $g-2$ and $\mu \to e\gamma$

Abstract

While the muon $g-2$ anomaly can be successfully explained by some new physics models, most of them are severely constrained by the $\mu \to e\gamma$ bound. This tension is more transparent from the effective field theory perspective, in which the two phenomena are encoded in two very similar operators. However, with the $\mathcal{O}(1)$ Wilson coefficients, the current upper bound on $\mu \to e\gamma$ indicates a new-physics cutoff scale five orders smaller than that needed to eliminate the $(g-2{)}_{\mu }$ anomaly. By summarizing all the formulae from the one-loop contributions to the muon $g-2$ with the internal-particle spin not larger than 1, we point out two general methods to reconcile the conflict between the muon $g-2$ and $\mu \to e\gamma$: the GIM mechanism and the non-universal couplings. For the latter method, we use a simple scalar leptoquark model as an illustration.

22 pages, 4 figures, updated version accepted by PRD

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Cited by in corpus (7)

• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• GM2Calc: Precise MSSM prediction for $(g-2)$ of the muon
• Leptoquarks and Matter Unification: Flavor Anomalies and the Muon $g-2$
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• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Collider Signatures of a Scalar Leptoquark and Vector-like Lepton in Light of Muon Anomaly