$\gamma\gamma\to\pi^+\pi^-$ in the Modified Perturbative Approach

TL;DR

This paper studies the process of two photons producing a pion pair at high energies, examining how including transverse momentum affects theoretical predictions, and finds limited improvement from such effects.

Contribution

It introduces a modified perturbative approach to analyze transverse momentum effects in $\

Findings

Including $k_\perp$ does not significantly improve predictions

Different approximations show limited impact of transverse momentum

The approach clarifies the role of transverse momentum in the process

Abstract

We investigate the transverse momentum effects in $\gamma\gamma\to\pi^+\pi^-$ at moderately large total center of mass energy $\sqrt{s}$ in the modified perturbative approach. The calculation of the differential cross section using different approximations shows that the inclusion of $k_\perp$ in the quark and gluon propagators cannot lead to a considerable improvement of the theoretical prediction.