English

Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small x

High Energy Physics - Phenomenology 2021-05-26 v3

Abstract

The Drell-Yan hadronic tensor for electromagnetic (EM) current is calculated in the Sudakov region sQ2q2s\gg Q^2\gg q_\perp^2 with 1Q2{1\over Q^2} accuracy, first at the tree level and then with the double-log accuracy. It is demonstrated that in the leading order in NcN_c the higher-twist quark-quark-gluon TMDs reduce to leading-twist TMDs due to QCD equation of motion. The resulting tensor for unpolarized hadrons is EM gauge-invariant and depends on two leading-twist TMDs: f1f_1 responsible for total DY cross section, and Boer-Mulders function h1h_1^\perp. The order-of-magnitude estimates of angular distributions for DY process seem to agree with LHC results at corresponding kinematics.

Keywords

Cite

@article{arxiv.2012.01588,
  title  = {Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small x},
  author = {Ian Balitsky},
  journal= {arXiv preprint arXiv:2012.01588},
  year   = {2021}
}

Comments

Typos corrected, references added, and Fig. 3 replaced

R2 v1 2026-06-23T20:41:21.795Z