Non-global structure of the O(α2s) dijet soft function

Abstract

High energy scattering processes involving jets generically involve matrix elements of lightlike 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(α2s ) as a function of the two jet invariant masses, focusing on terms that have a non-separable dependence on these masses and are not determined by the renormalization group evolution of the soft function. 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(α2s ) soft function for dijet production in both position and momentum space.