Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue JHEP Année : 2023

Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel

Nils Asmussen
  • Fonction : Auteur
En-Hung Chao
  • Fonction : Auteur
Jeremy R. Green
  • Fonction : Auteur
Renwick J. Hudspith
  • Fonction : Auteur
Harvey B. Meyer
  • Fonction : Auteur
Andreas Nyffeler
  • Fonction : Auteur

Résumé

Hadronic light-by-light scattering is one of the virtual processes that causes the gyromagnetic factor $g$ of the muon to deviate from the value of two predicted by Dirac's theory. This process makes one of the largest contributions to the uncertainty of the Standard Model prediction for the muon $(g-2)$. Lattice QCD allows for a first-principles approach to computing this non-perturbative effect. In order to avoid power-law finite-size artifacts generated by virtual photons in lattice simulations, we follow a coordinate-space approach involving a weighted integral over the vertices of the QCD four-point function of the electromagnetic current carried by the quarks. Here we present in detail the semi-analytical calculation of the QED part of the amplitude, employing position-space perturbation theory in continuous, infinite four-dimensional Euclidean space. We also provide some useful information about a computer code for the numerical implementation of our approach that has been made public at https://github.com/RJHudspith/KQED.

Dates et versions

hal-03843554 , version 1 (08-11-2022)

Identifiants

Citer

Nils Asmussen, En-Hung Chao, Antoine Gérardin, Jeremy R. Green, Renwick J. Hudspith, et al.. Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel. JHEP, 2023, 04, pp.040. ⟨10.1007/JHEP04(2023)040⟩. ⟨hal-03843554⟩
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