Explicit computation of jet functions in coordinate space

TL;DR

This paper reviews factorization in QCD, computes the one-loop jet function in coordinate space, and analyzes Abelian radiative corrections, providing insights into coordinate space formulations of jet functions.

Contribution

It introduces the explicit calculation of the one-loop jet function in coordinate space and studies Landau equations for Abelian corrections, advancing coordinate space QCD analysis.

Findings

Computed the one-loop jet function in coordinate space.

Analyzed Landau equations for Abelian radiative corrections.

Reduced two radiative corrections in quadrature.

Abstract

I review the main results leading to Factorization of QCD amplitudes in momentum space and, in view of the analogue results in coordinate space, the one-loop jet function in coordinate space is computed and Landau's equations for the Abelian radiative corrections to it are studied. Furthermore, two of these radiative corrections are reduced in quadrature.