Summing up Subleading Sudakov Logarithms

TL;DR

This paper develops a method to calculate subleading Sudakov logarithms in gauge theories, improving the understanding of electroweak corrections at high energies for fermion pair production.

Contribution

It introduces a region-based dimensional regularization approach to compute next-to-leading logarithmic corrections in Abelian form factors and four-fermion amplitudes.

Findings

Derived functions for evolution equations in Sudakov limit

Analyzed electroweak corrections in high-energy fermion production

Enhanced precision in theoretical predictions for collider processes

Abstract

We apply the strategy of regions within dimensional regularization to find functions involved in evolution equations which govern the asymptotic dynamics of the Abelian form factor and four-fermion amplitude in the SU(N) gauge theory in the Sudakov limit up to the next-to-leading logarithmic approximation. The results are used for the analysis of the dominant electroweak corrections to the fermion-antifermion pair production in the $e^+e^-$ annihilation at high energy.