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arXiv · 2401.12013

Unraveling Generalized Parton Distributions Through Lorentz Symmetry and Partial DGLAP Knowledge

P. Dall'Olio·F. De Soto·C. Mezrag·J. M. Morgado Chávez·H. Moutarde·J. Rodríguez-Quintero·P. Sznajder·J. Segovia
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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 DGLAP 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 finite-elements methods. We benchmark our results against standard models for generalized parton distributions. In agreement with the formal expectation, we obtain a very accurate reconstructions 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.

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P. Dall'Olio, F. De Soto, C. Mezrag, J. M. Morgado Chávez, H. Moutarde, J. Rodríguez-Quintero, P. Sznajder, J. Segovia. 2024-01-22. Unraveling Generalized Parton Distributions Through Lorentz Symmetry and Partial DGLAP Knowledge. https://arxiv.org/abs/2401.12013

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