https://doi.org/10.1140/epjc/s10052-021-09455-4
Regular Article - Theoretical Physics
Hadronic light-by-light contribution to 
from lattice QCD: a complete calculation
1
PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, 55099, Mainz, Germany
2
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
3
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
4
Helmholtz Institut Mainz, Staudingerweg 18, 55128, Mainz, Germany
5
GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
Received:
17
April
2021
Accepted:
14
July
2021
Published online:
23
July
2021
We compute the hadronic light-by-light scattering contribution to the muon 
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 
(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 .
© The Author(s) 2021
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