Hadronic light-by-light contribution to $(g-2)_\mu$ from lattice QCD: a complete calculation

Autor: Chao, En-Hung, Hudspith, Renwick J., Gérardin, Antoine, Green, Jeremy R., Meyer, Harvey B., Ottnad, Konstantin
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1140/epjc/s10052-021-09455-4
Popis: We compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features evaluations of all possible Wick-contractions of the relevant hadronic four-point function and incorporates several different pion masses, volumes, and lattice-spacings. We obtain a value of $a_\mu^{\text{Hlbl}} = 106.8(14.7) \times 10^{-11}$ (adding statistical and systematic errors in quadrature), which is consistent with current phenomenological estimates and a previous lattice determination. It now appears conclusive that the hadronic light-by-light contribution cannot explain the current tension between theory and experiment for the muon $g-2$.
Comment: 42 pages, 21 figures
Databáze: arXiv