QCD Evolution of the Transverse Momentum Dependent Correlations

TL;DR

This paper investigates the QCD evolution of twist-three quark-gluon correlation functions related to transverse momentum odd distributions, revealing complex evolution equations that enhance understanding of nucleon structure.

Contribution

It introduces the QCD evolution equations for twist-three quark-gluon correlations, extending beyond leading twist functions and providing new insights into nucleon structure.

Findings

Derived evolution equations for twist-three functions

Highlighting differences from leading twist evolution

Implications for semi-inclusive scattering experiments

Abstract

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations involve more general twist-three functions beyond the correlation functions themselves. They provide important information on nucleon structure, and can be studied in the semi-inclusive hadron production in deep inelastic scattering and Drell-Yan lepton pair production in $pp$ scattering process.