https://doi.org/10.1140/epjc/s10052-022-10589-2
Regular Article - Theoretical Physics
The charm-quark contribution to light-by-light scattering in the muon 
from lattice QCD
1
PRISMA+ Cluster of Excellence, Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, 55099, Mainz, Germany
2
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
3
School of Mathematics and Hamilton Mathematics Institute, Trinity College, Dublin 2, Ireland
4
Helmholtz Institut Mainz, Staudingerweg 18, 55128, Mainz, Germany
5
GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
Received:
2
May
2022
Accepted:
6
July
2022
Published online:
2
August
2022
We compute the hadronic light-by-light scattering contribution to the muon 
from the charm quark using lattice QCD. The calculation is performed on ensembles generated with dynamical (u, d, s) quarks at the SU(3)
symmetric point with degenerate pion and kaon masses of around 415 MeV. It includes the connected charm contribution, as well as the leading disconnected Wick contraction, involving the correlation between a charm and a light-quark loop. Cutoff effects turn out to be sizeable, which leads us to use lighter-than-physical charm masses, to employ a broad range of lattice spacings reaching down to 0.039 fm and to perform a combined charm-mass and continuum extrapolation. We use the 
meson to define the physical charm-mass point and obtain a final value of 
, whose uncertainty is dominated by the systematics of the extrapolation. Our result is consistent with the estimate based on a simple charm-quark loop, whilst being free of any perturbative scheme dependence on the charm mass. The mixed charm–light disconnected contraction contributes a small negative amount to the final value.
© The Author(s) 2022
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