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

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.

17 pages

References in corpus (16)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Soft-gluon resummation for Higgs boson production at hadron colliders
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Sudakov Factorization and Resummation
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Universal structure of subleading infrared poles in gauge theory amplitudes
• Revisiting parton evolution and the large-x limit
• Soft and virtual corrections to pp -> H + X at NNLO
• Anomalous dimensions of high-spin operators beyond the leading order
• Threshold resummation for electroweak annihilation from DIS data
• Renormalization group approach to soft gluon resummation
• Exponentiation of the Drell-Yan cross section near partonic threshold in the DIS and MSbar schemes
• Collinear and soft gluon corrections to Higgs production at NNNLO
• Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization
• Soft-collinear effects in prompt photon production

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