Study of exclusive processes e^+ e^- \to VP

TL;DR

This paper analyzes exclusive e^+ e^- to VP processes, determining their asymptotic behavior, predicting cross sections at various energies, and confirming results with experimental data within the framework of perturbative QCD.

Contribution

The study provides the first comprehensive analysis of the energy dependence of e^+ e^- to VP processes, combining experimental data with perturbative QCD predictions to determine asymptotic behavior and cross sections.

Findings

Asymptotic cross section behavior agrees with perturbative QCD.

Predicted cross sections at specific energies match experimental data.

Confirmed the validity of perturbative QCD in describing these processes.

Abstract

This paper is devoted to consideration of the hard exclusive processes $e^+e^- \to VP$, where $V=\rho,\phi; P=\eta,\eta'$. Experimental measurement of the cross section of the process $e^+ e^- \to \phi\eta$ at BaBar collaboration at large center mass energy $\sqrt s=10.6$ GeV and some low energy experimental data $\sqrt s \sim 2-4$ GeV give us the possibility to study the cross section in the broad energy region. As the result, we have determined the asymptotic behavior of the cross section of $e^+ e^- \to \phi\eta$ in the limit $s \to \infty$, which is in agreement with perturbative QCD prediction. Assuming that the same asymptotic behavior is valid for the other processes under consideration and using low energy experimental data we have predicted the cross sections of these processes at energies $\sqrt s=3.67,~10.6$ GeV. In addition, we have calculated the cross sections of these processes at the same energies within perturbative QCD. Our results are in agreement with available experimental data.