Parametrization sampling and the pion PDF in a phenomenological analysis

TL;DR

This paper advances the understanding of the pion parton distribution function by employing a novel statistical approach within the Fant extsuperscript{4}QCD framework, systematically exploring solutions and uncertainties in a phenomenological analysis.

Contribution

It introduces a state-of-the-art statistical methodology to better estimate epistemic uncertainty in pion PDF analysis using multiple functional forms.

Findings

Improved estimates of pion valence PDF uncertainties.

Systematic exploration of functional form solutions.

Comparison between QCD analyses and QFT calculations.

Abstract

In these proceedings, we extend the discussion of the pion PDF obtained by NLO QCD analysis in the Fant\^omas4QCD framework. Our pion analysis uses a state-of-the-art statistical methodology that accounts for the epistemic uncertainty. Fant\^omas4QCD, designed to handle multiple functional forms for solving the inverse problem, systematically explores a variety of solutions for PDFs, thereby improving estimates of epistemic uncertainty. Through this novel approach, we interpret our results for the valence sector, considering various non-perturbative methods available for predicting the pion PDF. We emphasize the distinctions between (global) QCD analyses and QFT-based calculations.