Lattice QCD calculation of the π0-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon

Lin, Tian and Bruno, Mattia and Feng, Xu and Jin, Lu-Chang and Lehner, Christoph and Liu, Chuan and Luo, Qi-Yuan (2025) Lattice QCD calculation of the π0-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon. REPORTS ON PROGRESS IN PHYSICS, 88 (8): 080501. ISSN 0034-4885, 1361-6633

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Abstract

We develop a method to compute the pion transition form factor directly at arbitrary space-like photon momenta and use it to determine the pi(0)-pole contribution to the hadronic light-by-light scattering in the anomalous magnetic moment of the muon. The calculation is performed using eight gauge ensembles generated with 2+1 flavor domain wall fermions, incorporating multiple pion masses, lattice spacings, and volumes. By introducing a pion structure function and performing a Gegenbauer expansion, we demonstrate that about 98% of the pi(0)-pole contribution can be extracted in a model-independent manner, thereby ensuring that systematic effects are well controlled. After applying finite-volume corrections, as well as performing chiral and continuum extrapolations, we obtain the final result for the pi(0)-pole contribution to the hadronic light-by-light scattering in the muon's anomalous magnetic moment, a(mu)(pi 0-pole) = 61.2(1.7) x 10(-11), and the pi(0) decay width, Gamma(0)(pi)->gamma gamma = 7.60(27) eV.

Item Type: Article
Uncontrolled Keywords: EXCLUSIVE PROCESSES; FORM-FACTORS; PHOTON; DECAYS; lattice QCD; muon g-2; hadronic light-by-light contribution; neutral pion lifetime; pion transition form factor
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Apr 2026 12:45
Last Modified: 23 Apr 2026 12:45
URI: https://pred.uni-regensburg.de/id/eprint/67531

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