Resummation and power corrections for factorized cross sections

TL;DR

The paper analyzes threshold resummation for factorizable hadron-hadron cross sections, focusing on how resummation interacts with factorization-scale dependence and how it encodes subleading 1/N power corrections. It introduces refactorization to absorb leading logarithms into energy distributions, reducing μ-dependence, and then extends the framework to include O(1/N) corrections with a matrix formalism that accounts for flavor mixing. It further investigates power corrections, showing that the linear N/Q term cancels in full QCD and that the first nonzero corrections appear at (N/Q)^2, informing predictions for Drell-Yan and similar processes. Overall, the work provides a cohesive method to connect perturbative resummation with nonperturbative power effects in hadronic cross sections.

Abstract

Threshold resummation for factorizable cross sections in hadron-hadron collisions has a number of applications and extensions. We discuss factorization scale dependence, resummation at nonleading power in the moment variable, and the implications of resummation for power corrections in the hard momentum scale.