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.

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

References in corpus (7)

• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• Domain wall network as QCD vacuum and the chromomagnetic trap formation under extreme conditions
• Energy-driven disorder in the mean field QCD

Cited by in corpus (1)

• Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum