QCD Evolution of the Transverse Momentum Dependent Correlations

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.

Figures (1)

• Figure 1: Real gluon radiation contribution to the evolution equations for the twist-three quark-gluon correlation functions $T_F(x)$, $\tilde{g}(x)$, $T_F^{(\sigma)}(x)$, $\tilde{h}(x)$.