The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model

TL;DR

This paper estimates the axial-vector meson exchange contribution to the muon g-2 using a nonlocal quark model, finding a smaller value than previous estimates, which impacts the understanding of hadronic light-by-light effects.

Contribution

It provides a novel calculation of axial-vector meson contributions to muon g-2 within a nonlocal quark model, challenging prior estimates.

Findings

a1 meson contribution: 0.34 x 10^(-11)

f1 meson contribution: 0.34 x 10^(-11)

results are smaller than Melnikov-Vainshtein estimate

Abstract

The light-by-light contribution from the axial-vector (AV) mesons exchanges to the muon anomalous magnetic moment is estimated in the framework of the nonlocal chiral quark model. The preliminary answer for contributions from a1 and f1 mesons to (g-2)_mu is 0.34 x 10^(-11) and does not support the Melnikov-Vainshtein estimate 2.2 x 10^(-11).