Phenomenological model for $γγ^* \to K\bar{K}^*(892)$ constraining the $f_1(1420)$ transition form factor

Abstract

We present a phenomenological study of the $γγ^*\to K\bar{K}^*(892)$ process by including the $s$-channel production of the $η(1475)$ and $f_1(1420)$ 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 $f_1(1420)$ is adjusted to achieve a reasonable description of the existing L3 data in the $f_1(1420)$ resonance region. This model is intended to serve as a Monte Carlo generator for the analysis currently being performed by the BESIII Collaboration. We also estimate the polarized $γγ^*\to K\bar{K}^*(892)$ cross sections and demonstrate how to extract the transition form factors of $f_1(1420)$ from the polarized cross sections.