Hadronic contributions to $a_\mu$ within Resonance Chiral Theory

TL;DR

This paper reviews recent advances in calculating the hadronic contributions to the muon anomalous magnetic moment using Resonance Chiral Theory, including vacuum polarization and light-by-light scattering, achieving results consistent with established benchmarks.

Contribution

It introduces a comprehensive application of Resonance Chiral Theory to evaluate various hadronic contributions to $a_\mu$, including new pseudoscalar box calculations.

Findings

Results align with White Paper 2 values.

Consistent precision across different hadronic contributions.

First evaluation of pseudoscalar box using this formalism.

Abstract

We review the recent progress achieved, using Resonance Chiral Theory, in the hadronic contributions to the muon anomalous magnetic moment. These include the hadronic vacuum polarization, either using $e^+e^-$ or $\tau$ decays into hadron final states as input; and the hadronic light-by-light part, where in addition to previous results on the lightest pseudoscalar and tensor-poles contributions, we first present the evaluation of the pseudoscalar box using this formalism. We also discuss the scalar, axial-pole and other subleading pieces. The results obtained are consistent with the White Paper 2 values, with comparable precision.