Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update

Colangelo, G.; Hagelstein, F.; Hoferichter, M.; Laub, L.; Stoffer, P. (2021). Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update. The European physical journal. C, Particles and fields, 81(8), p. 702. Springer 10.1140/epjc/s10052-021-09513-x

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We reassess the impact of short-distance con- straints for the longitudinal component of the hadronic light- by-light amplitude on the anomalous magnetic moment of the muon, aμ = (g − 2)μ/2, by comparing different solutions that have recently appeared in the literature. In particular, we analyze the relevance of the exact axial anomaly and its impact on aμ and conclude that it remains rather limited. We show that all recently proposed solutions agree well within uncertainties on the numerical estimate of the impact of short- distance constraints on aμ, despite differences in the concrete implementation. We also take into account the recently cal- culated perturbative corrections to the massless quark loop to update our estimate and outline the path towards future improvements.

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