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

Abstract

We calculate cross sections for production of axial-vector $f_1(1285)$ mesons for double-tagged measurements of the $e^{+}{e}^{-}\to e^{+}{e}^{-}{f}_1(1285)$ reaction. Different ${\gamma }^{\ast }{\gamma }^{\ast }\to f_1(1285)$ vertices from the literature are used. Both integrated cross section as well as differential distributions are calculated. Predictions for a potential measurement at Belle II are presented. Quite different results are obtained for the different vertices proposed in the literature. Future measurements at $e^{+}{e}^{-}$ colliders could test and/or constrain the ${\gamma }^{\ast }{\gamma }^{\ast }\to f_1(a_1,f_1^{\prime })$ vertices and associated form factors, known to be important ingredients for calculating contributions to anomalous magnetic moment of muon and hyperfine splitting of levels of muonic atoms.

arXiv comment17 pages, 6 figures, 2 tables, misprints corrected, discussion added, some figures improved, a new figure added, new references

References in corpus (27)

• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• Single meson contributions to the muon's anomalous magnetic moment
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Light-by-light scattering sum rules constraining meson transition form factors
• A Model for Soft High-Energy Scattering: Tensor Pomeron and Vector Odderon
• f_1(1285) Formation in Two-Photon Collisions at LEP
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• Asymptotic behavior of meson transition form factors
• Decay of axial-vector mesons into VP and P$\gamma$
• Light axial vector mesons
• The annihilation of virtual photons into pseudoscalar mesons
• Photoproduction of the $f_1(1285)$ Meson
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Hadroproduction of scalar $P$-wave quarkonia in the light-front $k_T$-factorization approach
• Photoproduction through Chern-Simons Term Induced Interactions in Holographic QCD
• Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
• Quantum loops in radiative decays of the $a_1$ and $b_1$ axial-vector mesons
• Vector-Meson Electroproduction from Generalized Vector Dominance
• Exclusive photoproduction of $f_1(1285)$ meson off proton in the JLab kinematics
• Search for direct production of the $f_1(1285)$ resonance in $e^{+}{e}^{-}$ collisions
• The ${\gamma }^{\ast }{\gamma }^{\ast }\to {\eta }_c(1S,2S)$ transition form factors for spacelike photons
• $f_1(1285)\to e^{+}{e}^{-}$ decay and direct $f_1$ production in $e^{+}{e}^{-}$ collisions
• The anomalous decay $f_1(1285)\to \rho \gamma$ and related processes
• Consistent analysis of $f_1(1285)$ meson form factors
• The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model
• Partial widths for the decays eta(1295) -> gamma gamma and eta(1440) -> gamma gamma

Cited by in corpus (5)

• 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 anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Axial-vector exchange contribution to the Hyperfine Splitting
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA
• Light-front approach to axial-vector quarkonium ${\gamma }^{\ast }{\gamma }^{\ast }$ form factors