Phenomenological model for γγ^* → KK̄^*(892) constraining the f₁(1420) transition form factor

To empirically evaluate the axial vector meson's contribution to the hadronic light-by-light contribution to the muon $g-2$, we present a phenomenological study of the γγ^*→ KK̄^*(892) process by including the s-channel production of the η(1475) and f₁(1420) resonances. The non-resonant channel via K- and K^*-exchanges is investigated carefully by performing the Lorentz tensor decomposition and is constructed to yield a correct high-energy Regge behavior. The transition form factor of f₁(1420) is adjusted to achieve a reasonable description of the existing L3 data. We estimate the polarized γγ^*→ KK̄^*(892) cross sections, which serve as predictions for the forthcoming BESIII data. We also demonstrate the possibility to model-independently extract the transition form factors of f₁(1420) from the polarized cross sections.