Diagrammatic Exponentiation for Products of Wilson Lines
Alexander Mitov, George Sterman, Ilmo Sung
TL;DR
This paper introduces a recursive diagrammatic method for exponentiating gauge theory amplitudes involving Wilson lines, extending the web concept to general soft functions in QCD and other gauge theories.
Contribution
It generalizes the web approach to arbitrary Wilson line paths, providing a new recursive diagrammatic prescription for exponentiation in gauge theories.
Findings
Provides a universal diagrammatic prescription for Wilson line exponentiation.
Extends web concepts from simple eikonal lines to complex soft functions.
Applicable to arbitrary paths in coordinate space.
Abstract
We provide a recursive diagrammatic prescription for the exponentiation of gauge theory amplitudes involving products of Wilson lines and loops. This construction generalizes the concept of webs, originally developed for eikonal form factors and cross sections with two eikonal lines, to general soft functions in QCD and related gauge theories. Our coordinate space arguments apply to arbitrary paths for the lines.
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