Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined

Kirill Melnikov, Arkady Vainshtein

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Abstract

We discuss the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment aμ1b1, paying particular attention to the consistent matching between the short- and the long-distance behavior of the light-by-light scattering amplitude. We argue that short-distance QCD imposes strong constraints on this amplitude overlooked in previous analyses. We find that accounting for these constraints leads to approximately 50% increase in the central value of aμ 1b1, compared to commonly accepted estimates (see, e.g., [M. Davier, S. Eidelman, A. Hocker, and Z. Zhang, Eur. Phys. J. C 31, 503 (2003).]). The hadronic light-by-light scattering contribution becomes aμ 1b1 = 136 (25) × 10-11, thereby shifting the standard model prediction closer to the experimental value.

Original languageEnglish (US)
Article number113006
Pages (from-to)113006-1-113006-16
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number11
DOIs
StatePublished - Dec 2004

Bibliographical note

Funding Information:
We are grateful to M. Voloshin for helpful discussions. This research is supported by the DOE under Contract Nos. DE-FG03-94ER-40833, DE-FG02-94ER408, and DE-FG03-94ER40833.

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