Non-global Structure of the O({\alpha}_s^2) Dijet Soft Function

TL;DR

This paper calculates the O(α_s^2) dijet soft function, revealing non-global logarithms and non-separable mass dependencies, advancing understanding of soft contributions in high-energy jet processes.

Contribution

It provides the first complete analytic computation of the dijet soft function at O(α_s^2), including non-global logarithms and non-separable mass dependence.

Findings

Includes non-global single and double logarithms.

Provides analytic results for non-logarithmic contributions.

Completes the O(α_s^2) soft function for dijet production.

Abstract

High energy scattering processes involving jets generically involve matrix elements of light- like Wilson lines, known as soft functions. These describe the structure of soft contributions to observables and encode color and kinematic correlations between jets. We compute the dijet soft function to O({\alpha}_s^2) as a function of the two jet invariant masses, focusing on terms not determined by its renormalization group evolution that have a non-separable dependence on these masses. Our results include non-global single and double logarithms, and analytic results for the full set of non-logarithmic contributions as well. Using a recent result for the thrust constant, we present the complete O({\alpha}_s^2) soft function for dijet production in both position and momentum space.