NLL Resummation for Dijet Production

TL;DR

The paper develops threshold resummation for dijet production in hadronic collisions at next-to-leading logarithmic accuracy by formulating a refactorized, Mellin-space cross section that isolates hard, soft, jet, and incoming-parton contributions. It derives the soft anomalous dimension matrices governing color exchange for subprocesses like $qg\rightarrow qg$ and $gg\rightarrow gg$, and shows how RG evolution of the soft function controls the resummed N-dependent logarithms. By diagonalizing the soft matrix and organizing the cross section as a trace over hard and soft pieces, the authors obtain a compact exponential structure that enhances the cross section in a controlled way. The work provides the theoretical foundation for numerical predictions of dijet production near partonic threshold and suggests that NLL threshold effects could be numerically sizable, as indicated by parallel studies in heavy-quark production.

Abstract

We discuss threshold resummation for dijet production in hadronic collisions. Resummation to next-to-leading logarithmic (NLL) accuracy is given in terms of an anomalous dimension matrix for each partonic subprocess involved.