QED Radiative Corrections to the Non-annihilation Processes Using the Structure Function and the Parton Shower

TL;DR

This paper compares structure function and parton shower methods for including QED radiative corrections in non-annihilation processes, demonstrating their effectiveness and proposing a way to choose the appropriate energy scale for different processes.

Contribution

It introduces a method to incorporate higher-order QED corrections in non-annihilation processes and proposes a way to select the optimal energy scale for accurate calculations.

Findings

Good agreement with exact $O(\alpha)$ calculations.

Methods are applicable to various non-annihilation processes.

A new approach to determine the suitable energy scale.

Abstract

Inclusion of the QED higher order radiative corrections in the two-photon process, e+e- -> e+e- mu+mu-, is examined by means of the structure function and the parton shower. Results are compared with the exact $O(\alpha)$ calculations and give a good agreement. These two methods should be universally applicable to any other non-annihilation processes like the single-W productions in the e+e- collisions. In this case, however, the energy scale for the evolution by the renormalization-group equation should be chosen properly depending on the dominant diagrams for the given process. A method to find the most suitable energy scale is proposed.