@article{10272/24294, year = {2024}, month = {5}, url = {https://hdl.handle.net/10272/24294}, abstract = {Relying on the polynomiality property of generalized parton distributions, which roots on Lorentz covariance, we prove that it is enough to know them at vanishing and low skewness within the Dokshitzer- Gribov-Lipatov-Altarelli-Parisi region to obtain a unique extension to their entire support up to a D term. We put this idea in practice using two methods: reconstruction using artificial neural networks and finiteelements methods. We benchmark our results against standard models for generalized parton distributions. In agreement with the formal expectation, we obtain very a accurate reconstruction for a maximal value of the skewness as low as 20% of the longitudinal momentum fraction. This result might be relevant for reconstruction of generalized parton distribution from experimental and lattice QCD data, where computations are, for now, restricted in skewness}, organization = {J. M. M. C. thanks V. Bertone, B. Blossier, M. Riberdy, and T. San Jos´e for valuable discussions and comments. The work from C. M., J.M.M. C., and H. M. has been supported by the GLUODYNAMICS project funded by “P2IO LabEx (ANR-10-LABX-0038)” in the framework of Investissements d’Avenir (ANR-11-IDEX-0003-01), managed by the Agence Nationale de la Recherche (ANR), France; and by the European Union’s Horizon 2020 research and innovation program under Grant Agreement STRONG 2020—No. 824093. P. D. O. acknowledges financial support from “Junta de Andalucía” through “Programa Operativo FEDER de Andalucía 2014-2020 (PAIDI)” under the Project No. P20_00764. The work of P. D. O., F. D. S., J. R.-Q., and J. S. was supported by the “Spanish Ministerio de Ciencia e Innovación (MICINN)” through Grants No. PID2019-107844-GB-C22 and No. PID2022-140440-NB-C22}, publisher = {American Physical Society}, title = {Unraveling generalized parton distributions through Lorentz symmetry and partial DGLAP knowledge}, doi = {10.1103/PhysRevD.109.096013}, author = {Dall’Olio, P. and Soto Borrero, Feliciano Carlos de and Mezrag, Cédric and Morgado Chávez, José Manuel and Moutarde, Hervé and Rodríguez Quintero, José and Sznajder, P. and Segovia González, Jorge}, }