Hadronic light-by-light contribution to the muon g−2 from holographic QCD with massive pions

2021/08/31 by Josef Leutgeb, Anton Rebhan
Physics and Astronomy · #Anomalous magnetic dipole moment #Black Holes and Theoretical Physics #Hadron #Meson #Muon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Tower #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.104.094017

28 pages, 10 figures, 4 tables; v2: table IV expanded, reference added

arxiv created 2021/09/06 · openalex publication_date 2021/11/12 · openalex created_date 2021/11/22 · arxiv updated 2021/11/24 · openalex updated_date 2026/08/05

Abstract

We extend our previous calculations of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment in holographic QCD to models with finite quark masses and a tower of massive pions. Analyzing the role of the latter in the Wess-Zumino-Witten action, we show that the Melnikov-Vainshtein short-distance constraint is satisfied solely by the summation of contributions from the infinite tower of axial-vector meson contributions. There is also an enhancement of the asymptotic behavior of pseudoscalar contributions when their infinite tower of excitations is summed, but this leads only to subleading contributions for the short-distance constraints on light-by-light scattering. We also refine our numerical evaluations, particularly in the pion and a₁ sector, which corroborates our previous findings of contributions from axial-vector mesons that are significantly larger than those adopted for the effects of axials and short-distance constraints in the recent white paper on the Standard Model prediction for (g\ensuremath-2)_\ensuremathμ.

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