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arXiv · 2309.00152

Fant\^omas For QCD: parton distributions in a pion with B\'ezier parametrizations

Aurore Courtoy·Lucas Kotz·Pavel Nadolsky·Fred Olness·Maximiliano Ponce-Chavez·Varada Purohit
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Abstract

We report on a new framework to parametrize parton distribution functions (PDFs) and other hadronic nonperturbative functions using polynomial functions realized by B\'ezier curves. B\'ezier 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.

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Aurore Courtoy, Lucas Kotz, Pavel Nadolsky, Fred Olness, Maximiliano Ponce-Chavez, Varada Purohit. 2023-08-31. Fant\^omas For QCD: parton distributions in a pion with B\'ezier parametrizations. https://arxiv.org/abs/2309.00152

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