Quasiparton distributions of pions at large longitudinal momentum

In this paper, we develop an approach to calculate the valence-quark quasiparton distribution amplitude (quasi-PDA) and quasiparton 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...

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Hauptverfasser: Zhang, Dao-yu (VerfasserIn) , Huang, Chuang (VerfasserIn) , Fu, Wei-jie (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1 October 2025
In: Physical review
Year: 2025, Jahrgang: 112, Heft: 7, Pages: 1-16
ISSN:2470-0029
DOI:10.1103/9k1c-kwvw
Online-Zugang:Verlag, kostenfrei, Volltext: https://doi.org/10.1103/9k1c-kwvw
Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/9k1c-kwvw
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Verfasserangaben:Dao-yu Zhang, Chuang Huang and Wei-jie Fu

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520 |a In this paper, we develop an approach to calculate the valence-quark quasiparton distribution amplitude (quasi-PDA) and quasiparton 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 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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