QCD evolution of naive-time-reversal-odd quark-gluon correlation functions

Abstract

In this talk, we examine the existing calculations of QCD evolution kernels for the scale dependence of two sets of twist-3 quark-gluon correlation functions, $T_{q,F}(x,x)$ and $T_{q,F}^{(\sigma )}(x,x)$, which are the first transverse-momentum-moment of the naive-time-reversal-odd Sivers and Boer-Mulders function, respectively. The evolution kernels at the leading order in strong coupling constant ${\alpha }_s$ were derived by several groups with apparent differences. We identify the sources of discrepancies and are able to reconcile the results from various groups.

Comments: 10 pages, 4 figures, proceedings of the QCD Evolution Workshop, May 14 - 17, 2012, Thomas Jefferson National Accelerator Facility, Newport News, VA