QCD evolution of naive-time-reversal-odd parton distribution functions

Abstract

We reexamine the derivation of the leading order QCD evolution equations of twist-3 quark-gluon correlation functions, $T_{q,F}(x,x)$ and $T^{(σ)}_{q,F}(x,x)$, which are the first transverse-momentum-moment of the naive-time-reversal-odd parton distribution functions - the Sivers and Boer-Mulders function, respectively. The evolution equations were derived by several groups with apparent differences. We identify the sources that are responsible for the differences, and are able to reconcile the results from various groups.

Figures (2)

• Figure 1: Feynman diagrams contribute to the leading order evolution kernel of quark-gluon correlation functions.
• Figure 2: Feynman diagrams contribute to the evolution from the interference of a gluon and a quark-antiquark state (left), and the usual interference of a quark and a quark-gluon state (right).