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Correlation Between Muon $g-2$ and $\mu\rightarrow{e}{\gamma}$ · Around

2014

Correlation Between Muon $g-2$ and $\mu\rightarrow{e}{\gamma}$

Chiu, Wei-Chi, Geng, Chao-Qiang, Huang, Da

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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 ${\cal O}(1)$ 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.

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