Evolution equation for generalized parton distributions

Abstract

The extension of the method [A. Manashov, M. Kirch, and A. Sch\"afer, Phys. Rev. Lett. 95, 012002 (2005).] for solving the leading order evolution equation for generalized parton distributions (GPDs) is presented. We obtain the solution of the evolution equation both for the flavor nonsinglet quark GPD and singlet quark and gluon GPDs. The properties of the solution and, in particular, the asymptotic form of GPDs in the small $x$ and $\ensuremath{\xi}$ region are discussed.