RT Journal Article
T1 Revisiting evolution equations for generalised parton distributions
A1 Bertone, Valerio
A1 Dutrieux, Hervé
A1 Mezrag, Cédric
A1 Morgado Chávez, José Manuel
A1 Moutarde, Hervé
AB We revisit the evolution of generalised parton distributions (GPDs) in momentum space. We formulate the evolution kernels at one loop in perturbative quantum chromodynamics (pQCD) in a form that is suitable for numerical implementation and that allows for an accurate study of theirproperties. This leads to the first open-source implementation of GPD evolution equations able to cover the entire kinematic region and allowing for heavy-quark-threshold crossings. The numerical implementation of the GPD evolution equations is publicly accessible through the APFEL++evolution library and is available within the PARTONS framework. Our formulation makes use of the operator definition of GPDs in light-cone gauge renormalised in the MS scheme. For thesake of clarity, we recompute the evolution kernels at one loop in pQCD, confirming previous calculations. We obtain general conditions on the evolution kernels derived from the GPD sum rules and show that our formulation obeys these conditions. We analytically show that our calculation reproduces the DGLAP and the ERBL equations in the appropriate limits and that it guarantees the continuity of GPDs. We numerically check that the evolved GPDs fulfil DGLAP and ERBL limits, continuity, and polynomiality. We benchmark our numerical implementation against analytical evolution in conformal space. Finally, we perform a numerical comparison to an existing implementation of GPD evolution, finding general good agreement on the kinematic region  accessible to the latter. This work provides a pedagogical description of GPD evolution equations which benefits from a renewedinterest as future colliders, such as the electron-ion collidersin the United States and in China, are being designed.It also paves the way for the extension of GPD evolutioncodes to higher accuracies in pQCD desirable for precisionphenomenology at these facilities.
PB Springer Open
SN 1434-6044
SN 1434-6052 (electrónico)
YR 2022
FD 2022
LK https://hdl.handle.net/10272/21874
UL https://hdl.handle.net/10272/21874
LA eng
NO Bertone, V., Dutrieux, H., Mezrag, C., Morgado, J. M., & Moutarde, H. (2022). Revisiting evolution equations for generalised parton distributions. In The European Physical Journal C (Vol. 82, Issue 10). Springer Science and Business Media LLC. https://doi.org/10.1140/epjc/s10052-022-10793-0
NO We are grateful to M. Diehl and A. Radyushkin for stimulating discussions and for helping us interpret the results of previous calculations. We also thank J. Rodriguez-Quintero for useful discussions. V. B. is supported by the European Union's Horizon 2020 research and innovation programme under grant agreement STRONG 2020 - No. 824093. J. M. M. is supported by the University of Huelva under grant EPIT2021.
DS Repositorio Institucional de la Universidad de Huelva
RD 1 jun 2026