# Transverse momentum dependent quark distributions and polarized Drell-Yan processes

## TL;DR

This paper investigates spin-dependent quark distributions at large transverse momentum, deriving their behaviors and analyzing polarized Drell-Yan processes, demonstrating consistency between collinear and TMD factorization methods.

## Contribution

It provides a detailed derivation of transverse momentum behaviors of spin-dependent quark distributions and compares two theoretical approaches for polarized Drell-Yan processes.

## Key findings

- Collinear and TMD factorization approaches are consistent in describing angular distributions.
- Derived transverse momentum behaviors of spin-dependent quark distributions.
- Presented results in terms of twist-three quark-gluon correlation functions.

## Abstract

We study the spin-dependent quark distributions at large transverse momentum. We derive their transverse momentum behaviors in the collinear factorization approach in this region. We further calculate the angular distribution of the Drell-Yan lepton pair production with polarized beams and present the results in terms of the collinear twist-three quark-gluon correlation functions. In the intermediate transverse momentum region, we find that the two pproaches: the collinear factorization and the transverse momentum dependent factorization approaches are consistent in the description of the lepton pair angular distributions.