Threshold Resummation for Drell-Yan Process in Soft-Collinear Effective Theory
Ahmad Idilbi, Xiangdong Ji
TL;DR
Threshold Drell-Yan production exhibits large Sudakov-type logarithms near z→1. The authors apply soft-collinear effective theory (SCET) with a two-stage matching at Q^2 and Q^2(1−z)^2 to factorize the cross section into a hard part and PDFs, then resum the large logs through RG evolution. They reproduce the known one-loop DY coefficient function, derive a Mellin-space resummed expression at NLL accuracy, and show consistency with DIS results and standard QCD factorization. The SCET framework clarifies scale separation, provides a Landau-pole–safe resummation method, and offers a unified EFT perspective on threshold resummation for DY and DIS.
Abstract
We consider Drell-Yan process in the threshold region $z\to 1$ where large logarithms appear due to soft-gluon radiations. We present a soft-collinear effective theory approach to re-sum these Sudakov-type logarithms following an earlier treatment of deep inelastic scattering, and the result is consistent with that obtained earlier through perturbative QCD factorization