Optimization of factorization scale in QED Drell-Yan-like processes

TL;DR

This paper investigates how the choice of factorization scale affects initial state radiation corrections in QED Drell-Yan-like processes, aiming to optimize the scale choice for better theoretical predictions.

Contribution

It analyzes various prescriptions for selecting the factorization scale within leading and next-to-leading logarithmic approximations and compares them with complete two-loop results.

Findings

Different scale choices significantly impact correction calculations.

Comparison with two-loop results helps identify optimal scale prescriptions.

Optimized scale choice improves the accuracy of theoretical predictions.

Abstract

The dependence of corrections due to the initial state radiation in $e^+ e^-$-annihilation processes on the choice of the factorization scale is investigated. Different prescriptions of the factorization scale choice are analyzed within the leading and next-to-leading logarithmic approximations. Comparisons with the known complete two-loop results are used to optimize the scale choice.