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Hadronic light-by-light scattering in the anomalous magnetic moment of themuon $a_\mu$ is one of two hadronic effects limiting the precision of theStandard Model prediction for this precision observable, and hence thenew-physics discovery potential of direct experimental determinations of$a_\mu$. In this contribution, we report on recent progress in the calculationof this effect achieved both via dispersive and lattice QCD methods.

Hadronic light-by-light scattering in the anomalous magnetic moment of the muon