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

Abstract The Drell-Yan hadronic tensor for electromagnetic (EM) current is calculated in the Sudakov region s ≫ Q 2 ≫ q ⊥ 2 $$ s\gg {Q}^2\gg {q}_{\perp}^2 $$ with 1 Q 2 $$ \frac{1}{Q^2} $$ accuracy, first at the tree level and then with the double-log accuracy. It is demonstrated that in the leading...

Full description

Bibliographic Details
Main Author: I. Balitsky
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2021)046
Description
Summary:Abstract The Drell-Yan hadronic tensor for electromagnetic (EM) current is calculated in the Sudakov region s ≫ Q 2 ≫ q ⊥ 2 $$ s\gg {Q}^2\gg {q}_{\perp}^2 $$ with 1 Q 2 $$ \frac{1}{Q^2} $$ accuracy, first at the tree level and then with the double-log accuracy. It is demonstrated that in the leading order in N 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: f 1 responsible for total DY cross section, and Boer-Mulders function h 1 ⊥ $$ {h}_1^{\perp } $$ . The order-of-magnitude estimates of angular distributions for DY process seem to agree with LHC results at corresponding kinematics.
ISSN:1029-8479