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  • Open Access

Quasiparton distributions of pions at large longitudinal momentum

Dao-yu Zhang1, Chuang Huang2,*, and Wei-jie Fu1

  • 1School of Physics, Dalian University of Technology, Dalian, 116024, People’s Republic of China
  • 2Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany

  • *Contact author: huang@thphys.uni-heidelberg.de
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Phys. Rev. D 112, 074001 – Published 1 October, 2025

DOI: https://doi.org/10.1103/9k1c-kwvw

Abstract

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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Phys. Rev. D 112, 074001– Published 1 October, 2025
  • Received 28 February 2025
  • Accepted 8 September 2025
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