The study of double vector charmonium mesons production at B-factories within light cone formalism

TL;DR

This paper investigates double vector charmonium meson production at B-factories using light cone formalism, emphasizing the importance of relativistic and radiative corrections, and finds results consistent with experimental bounds.

Contribution

It introduces a light cone formalism approach that efficiently resums relativistic and radiative corrections for charmonium production processes.

Findings

Resummation of corrections significantly affects cross section predictions.

Predicted cross sections align with Belle collaboration upper bounds.

Higher charmonium meson production is notably impacted by these corrections.

Abstract

In this paper the processes $e^+ e^- \to J/\Psi J/\Psi, J/\Psi \psi', \psi' \psi'$ are considered in the framework of light cone formalism. An important distinction of this approach in comparison to the approaches used in other papers is that relativistic and leading logarithmic radiative corrections to the cross section can be easily resummed within light cone formalism. In this paper the effect of this resummation is studied. It is shown that this effect is important especially for the production of higher charmonium mesons. The predicted cross sections are in agreement with the upper bounds set by Belle collaboration.