Soft gluon fields and anomalous magnetic moment of muon
Sergei Nedelko, Aleksei Nikolskii, Vladimir Voronin

TL;DR
This paper investigates how nonperturbative soft gluon modes affect the muon's anomalous magnetic moment, revealing significant enhancements in hadronic contributions through a mean-field QCD approach.
Contribution
It introduces a mean-field QCD vacuum model to evaluate soft gluon impacts on muon g-2, highlighting the role of vector meson excitations and Wilson lines.
Findings
Radial excitations of vector mesons double the hadronic vacuum polarization contribution.
Soft gluon modes significantly influence hadronic light-by-light scattering.
Mean-field approach reveals strong nonperturbative effects on muon g-2.
Abstract
An impact of nonperturbatively-treated soft gluon modes on the value of anomalous magnetic moment of muon 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 , 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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