Non-global Structure of the O({\alpha}_s^2) Dijet Soft Function
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.
Cite
@article{arxiv.1105.4628,
title = {Non-global Structure of the O({\alpha}_s^2) Dijet Soft Function},
author = {Andrew Hornig and Christopher Lee and Iain W. Stewart and Jonathan R. Walsh and Saba Zuberi},
journal= {arXiv preprint arXiv:1105.4628},
year = {2017}
}
Comments
55 pages, 8 figures. v2: extended discussion of double logs in the hard regime. v3: minor typos corrected, version published in JHEP. v4: typos in Eq. (3.33), (3.39), (3.43) corrected; this does not affect the main result, numerical results, or conclusions