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A note on the scale evolution of the ETQS function T_F(x,x)

Andreas Schäfer, Jian Zhou

Abstract

We reexamine the scale dependence of the ETQS (Efremov-Teryaev-Qiu-Sterman) twist-3 matrix element which has been studied already by the four different groups with conflicting results Ref.[1-4]. We find that we can in fact reproduce the results of Ref.[4] with the method Ref.[4] when we treat some subtleties with greater care, thus easing the mentioned conflict.

A note on the scale evolution of the ETQS function T_F(x,x)

Abstract

We reexamine the scale dependence of the ETQS (Efremov-Teryaev-Qiu-Sterman) twist-3 matrix element which has been studied already by the four different groups with conflicting results Ref.[1-4]. We find that we can in fact reproduce the results of Ref.[4] with the method Ref.[4] when we treat some subtleties with greater care, thus easing the mentioned conflict.

Paper Structure

This paper contains 11 equations, 1 figure.

Figures (1)

  • Figure 1: Real gluon radiation contribution to the evolution equation for the ETQS function $T_F(x,x)$. Crosses in fig.(a) and horizontal bar in fig.(b) indicate $k_\perp$ flow and special propagator, respectively.