Soft gluon fields and anomalous magnetic moment of muon

Abstract

An impact of nonperturbatively-treated soft gluon modes on the value of anomalous magnetic moment of muon $a_{\mu }$ is studied within the mean-field approach to QCD vacuum and hadronization. It is shown that radial excitations of vector mesons strongly enhance contribution of hadronic vacuum polarization to $a_{\mu }$, doubling the contribution of one intermediate meson processes compared to result for ground state mesons. The mean field also strongly influences the hadronic light-by-light scattering contribution due to the Wilson line in quark propagators.

Comments: 14 pages, 8 figures, 5 tables. Discussion is amended, a figure is added