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.

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

References in corpus (10)

• The anomalous magnetic moment of the muon in the Standard Model
• Asymptotic behavior of meson transition form factors
• Light axial vector mesons
• 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
• 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
• Exclusive photoproduction of $f_1(1285)$ meson off proton in the JLab kinematics
• $f_1(1285)\to e^{+}{e}^{-}$ decay and direct $f_1$ production in $e^{+}{e}^{-}$ collisions
• The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model

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