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 aμ 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 aμ, 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.

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