One-loop evolution of twist-2 generalized parton distributions

Abstract

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\hat{I}{\pm }_s$ for all of the twist-2 quark and gluon operators. We rederive the relevant one-loop evolution kernels, expressing them in a form suitable for implementation, and check analytically that some basic properties, such as DGLAP/ERBL limits and polynomiality conservation, are fulfilled. We also present a number of numerical results obtained with a public implementation of the evolution in the library {\tt APFEL++} and available within the {\tt PARTONS} framework.

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