Fantômas For QCD: parton distributions in a pion with Bézier parametrizations

Abstract

We report on a new framework to parametrize parton distribution functions (PDFs) and other hadronic nonperturbative functions using polynomial functions realized by Bézier curves. Bézier parameterizations produce a stable fit with a low number of free parameters, while competing in performance with neural networks and offering explicit interpretation. We specifically apply this approach to determine PDFs in a pion, essential for understanding of nonperturbative QCD dynamics.

7 pages, 3 figures, presented at DIS2023