Exclusive C=+ charmonium production in $e^+ e^- \to H+\gamma$ at B-factories within light cone formalism

TL;DR

This paper calculates the cross sections for exclusive C=+ charmonium production in electron-positron collisions at B-factories using light cone formalism, including radiative and relativistic corrections, and compares results with nonrelativistic QCD.

Contribution

It provides the first detailed calculation of these processes within light cone formalism, incorporating leading logarithmic radiative and relativistic corrections, and validates the approach against nonrelativistic QCD results.

Findings

Calculated cross sections for various charmonium states.

Radiative corrections within light cone formalism match nonrelativistic QCD results.

Enhanced understanding of charmonium production mechanisms.

Abstract

In this paper the cross sections of the processes $e^+ e^- \to H+\gamma, H=\eta_c, \eta_c', \chi_{c0}, \chi_{c1}, \chi_{c2}$ are calculated. The calculation is carried out at the leading twist approximation of light cone formalism. Within this approach the leading logarithmic radiative and relativistic corrections to the amplitudes are resumed. For the processes $e^+ e^- \to \eta_c, \eta_c'+\gamma$ one loop radiative corrections are taken into account. It is also shown that one loop leading logarithmic radiative corrections calculated within light cone formalism for the processes under study coincide with that obtained by direct calculations of one loop diagrams within nonrelativistic QCD.