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One-loop evolution of twist-2 generalized parton distributions

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arxiv 2311.13941 v3 pith:GJBTV7FO submitted 2023-11-23 hep-ph

Valerio Bertone , Rafael F. del Castillo , Miguel G. Echevarria , Óscar del Río , Simone Rodini This is my paper · ORCID
classification hep-ph
keywords evolutiondistributionsimplementationone-looppartontwist-2alphaanalytically
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abstract

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\alpha_s$ 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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  1. Kernel methods for evolution of generalized parton distributions

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Finite-element discretization turns GPD Q2 evolution into differentiable matrix multiplications; the new tiktaalik code reproduces PARTONS/APFEL++ at about 1% for LO evolution over most of x.

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