Holographic QCD and the muon anomalous magnetic moment

Abstract

We review the recent progress made in using holographic QCD to study hadronic contributions to the anomalous magnetic moment of the muon, in particular the hadronic light-by-light scattering contribution, where the short-distance constraints associated with the axial anomaly are notoriously difficult to satisfy in hadronic models. This requires the summation of an infinite tower of axial vector mesons, which is naturally present in holographic QCD models, and indeed takes care of the longitudinal short-distance constraint due to Melnikov and Vainshtein. Numerically the results of simple hard-wall holographic QCD models point to larger contributions from axial vector mesons than assumed previously, while the predicted contributions from pseudo-Goldstone bosons agree nicely with data-driven approaches.

Review article for Eur.Phys.J.C., topical selection "New Frontiers in Holographic Duality", 18 pages, 11 figures, 4 tables (v2: references updated, typo in table 2 corrected)

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Cited by in corpus (4)

• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Neutron stars and phase diagram in a hard-wall AdS/QCD model
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• Hadronic vacuum polarization contribution to the muon $g-2$ in holographic QCD