Single meson contributions to the muon’s anomalous magnetic moment

Abstract

We develop the formalism to provide an improved estimate for the hadronic light-by-light correction to the muon’s anomalous magnetic moment (Formula presented.), by considering single meson contributions beyond the leading pseudoscalar mesons. We incorporate available experimental input as well as constraints from light-by-light scattering sum rules to estimate the effects of axial-vector, scalar, and tensor mesons. We give numerical evaluations for the hadronic light-by-light contribution of these states to (Formula presented.). The presented formalism allows one to further improve on these estimates, once new data for such meson states will become available.