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On next-to-eikonal corrections to threshold resummation for the Drell–Yan and DIS cross sections

2008/07/28 by Eric Laenen, Lorenzo Magnea, Gerben Stavenga · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/j.physletb.2008.09.037

published as Phys.Lett.B669:173-179,2008 · 17 pages

arxiv created 2008/07/28 · openalex publication_date 2008/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We study corrections suppressed by one power of the soft gluon energy to the resummation of threshold logarithms for the Drell–Yan cross section and for Deep Inelastic structure functions. While no general factorization theorem is known for these next-to-eikonal (NE) corrections, it is conjectured that at least a subset will exponentiate, along with the logarithms arising at leading power. Here we develop some general tools to study NE logarithms, and we construct an ansatz for threshold resummation that includes various sources of NE corrections, implementing in this context the improved collinear evolution recently proposed by Dokshitzer, Marchesini and Salam (DMS). We compare our ansatz to existing exact results at two and three loops, finding evidence for the exponentiation of leading NE logarithms and confirming the predictivity of DMS evolution.

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