Axial-vector and scalar contributions to hadronic light-by-light scattering

2024/11/08 by Gernot Eichmann, Christian S. Fischer, Eichmann, Gernot +5 · 11 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2411.05652

openalex publication_date 2024/11/08 · openalex created_date 2024/11/15 · openalex updated_date 2026/07/28

Abstract

We present results for single axial-vector and scalar meson pole contributions to the hadronic light-by-light scattering (HLbL) part of the muon's anomalous magnetic moment. In the dispersive approach to these quantities (in narrow width approximation) the central inputs are the corresponding space-like electromagnetic transition form factors. We determine these directly using a functional approach to QCD by Dyson-Schwinger and Bethe-Salpeter equations in the very same setup we used previously to determine pseudo-scalar meson exchange (π, η and η') as well as meson (π and K) box contributions. Particular care is taken to preserve gauge invariance and to comply with short distance constraints in both the form factors and the HLbL tensor. Our result for the contributions from a tower of axial-vector states including short distance constraints is a_μ^HLbL[AV-tower+SDC] = 24.8 (6.1) × 10^-11. For the combined contributions from f₀(980), a₀(980), f₀(1370) and a₀(1450) we find a_μ^HLbL[scalar] = -1.6 (5) × 10^-11.

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