The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model

Abstract

The contribution of axial-vector mesons to the muon's anomalous magnetic moment through a light-by-light process is considered within a nonlocal quark model. The model is based on a four-quark interaction with scalar--pseudoscalar and vector--axial-vector sectors. While the transverse component of the axial-vector corresponds to a spin-1 particle, the unphysical longitudinal component is mixed with a pseudoscalar meson. The model parameters are re-fitted to the pion properties in the presence of pi-a_1 mixing. The obtained estimation for the light-by-light contribution of a_1+f_1 mesons is (3.6+-1.8)*10^{-11}.

18 pages, 10 figures, final version accepted for publication in Physical Review D

References in corpus (20)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• Asymptotic behavior of meson transition form factors
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• $f_1(1285)\to e^{+}{e}^{-}$ decay and direct $f_1$ production in $e^{+}{e}^{-}$ collisions
• Axial-vector exchange contribution to the Hyperfine Splitting
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model
• Drawing Feynman diagrams with GLE

Cited by in corpus (4)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Tau data-driven evaluation of the Hadronic Vacuum Polarization