# Asymmetric Di-jet Production in Polarized Hadronic Collisions

## TL;DR

This paper investigates the single-transverse-spin dependent cross section in polarized hadronic di-jet production using collinear QCD factorization, revealing a factorization into a hard part and TMD parton distributions in specific kinematic regimes.

## Contribution

It demonstrates that, at leading power and lowest order, the dependence on q_perp decouples, enabling a factorization into a hard scattering component and TMD distributions.

## Key findings

- Cross section factorizes into a hard part and TMD distributions.
- Dependence on q_perp decouples from P_perp at leading power.
- Valid in the regime P_perp >> q_perp >> Lambda_QCD.

## Abstract

Using the collinear QCD factorization approach, we study the single-transverse-spin dependent cross section Delta sigma(S_perp) for the hadronic production of two jets of momenta P_1=P+q/2 and P_2=-P+q/2. We consider the kinematic region where the transverse components of the momentum vectors satisfy P_perp >> q_perp >> Lambda_QCD. For the case of initial-state gluon radiation, we show that at the leading power in q_perp/P_perp and at the lowest non-trivial perturbative order, the dependence of Delta sigma(S_perp) on q_perp decouples from that on P_perp, so that the cross section can be factorized into a hard part that is a function only of the single scale P_perp, and into perturbatively generated transverse-momentum dependent (TMD) parton distributions with transverse momenta k_perp = O(q_perp).