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Higher-twist corrections to gluon TMD factorization

I. Balitsky, A. Tarasov

TL;DR

The paper develops a rapidity-factorized framework to compute power corrections to gluon TMD factorization in hadron-hadron collisions, focusing on Higgs-like production via gluon fusion in the region s >> Q^2 >> q_⊥^2 >> m^2. It obtains a leading higher-twist correction by solving classical Yang-Mills equations in background A+B fields and expanding in m_⊥^2/s, resulting in a factorized structure that combines standard gluon TMDs with three-gluon correlators. The key result is a 1/Q^2-suppressed correction to the hadronic tensor W, expressed through D_g, D_1^g, D_2^g, and H_1^g, along with Sudakov-type logarithms; the analysis connects to small-x physics via the shock-wave limit. The work lays the groundwork for including loop effects and matching of rapidity cutoffs, and suggests extensions to Drell–Yan and SIDIS to generalize the higher-twist corrections.

Abstract

We calculate power corrections to TMD factorization for particle production by gluon-gluon fusion in hadron-hadron collisions.

Higher-twist corrections to gluon TMD factorization

TL;DR

The paper develops a rapidity-factorized framework to compute power corrections to gluon TMD factorization in hadron-hadron collisions, focusing on Higgs-like production via gluon fusion in the region s >> Q^2 >> q_⊥^2 >> m^2. It obtains a leading higher-twist correction by solving classical Yang-Mills equations in background A+B fields and expanding in m_⊥^2/s, resulting in a factorized structure that combines standard gluon TMDs with three-gluon correlators. The key result is a 1/Q^2-suppressed correction to the hadronic tensor W, expressed through D_g, D_1^g, D_2^g, and H_1^g, along with Sudakov-type logarithms; the analysis connects to small-x physics via the shock-wave limit. The work lays the groundwork for including loop effects and matching of rapidity cutoffs, and suggests extensions to Drell–Yan and SIDIS to generalize the higher-twist corrections.

Abstract

We calculate power corrections to TMD factorization for particle production by gluon-gluon fusion in hadron-hadron collisions.

Paper Structure

This paper contains 11 sections, 133 equations, 3 figures.

Table of Contents

  1. Introduction
  2. TMD factorization from functional integral
  3. Power corrections and solution of classical YM equations
  4. Power counting for background fields
  5. Approximate solution of classical equations
  6. Twist expansion of classical gluon fields
  7. Leading higher-twist correction at $s\gg Q^2\gg Q_\perp^2\gg m^2$
  8. Small-x limit and scattering of shock waves
  9. Conclusions and outlook
  10. Appendix A
  11. Appendix B

Figures (3)

  • Figure 1: Particle production by gluon-gluon fusion
  • Figure 2: Rapidity factorization for particle production
  • Figure 3: Typical diagram for the classical field with projectile/target sources. The Green functions of the central fields are given by retarded propagators.