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arXiv · 2502.15384

Quasi parton distributions of pions at large longitudinal momentum

Dao-yu Zhang·Chuang Huang·Wei-jie Fu
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Abstract

In this paper, we develop an approach to calculate the valence-quark quasi parton distribution amplitude (quasi-PDA) and quasi parton distribution function (quasi-PDF) for the pion with a large longitudinal momentum with the functional renormalization group (fRG). This is demonstrated in a low energy effective theory (LEFT) with four-quark scatterings. In the study of the complex structure of quasi-PDA, we introduce a deformed integration contour in the calculations of quasi-PDA or quasi-PDF, which allows us to obtain correct integrals for all momentum fractions. It is found that the pion light-front PDA extrapolated from quasi-PDA based on the large momentum effective theory (LaMET) in the LEFT is comparable with lattice QCD and Dyson-Schwinger equation. This work paves the way to study the PDA and PDF within the fRG approach to first-principles QCD.

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Dao-yu Zhang, Chuang Huang, Wei-jie Fu. 2025-02-21. Quasi parton distributions of pions at large longitudinal momentum. https://arxiv.org/abs/2502.15384

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