Complete twist-decomposition for non-local QCD vector operators in $x$-space

Abstract

A general procedure is introduced allowing for the complete, infinite twist decomposition of non-local vector operators in QCD off the light-cone. The method is applied to the operators $\bar{\psi }(x){\gamma }_{\mu }\psi (-x)$ and $\bar{\psi }(x){\sigma }_{\mu \nu }{x}^{\nu }\psi (-x)$ as well as to their matrix elements thereby determining all power (resp. target mass) corrections being relevant for the related distribution amplitudes.

21 pages