Quasiparton distributions of pions at large longitudinal momentum

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.

D.-y. Zhang, C. Huang, W.-j. Fu, „Quasiparton distributions of pions at large longitudinal
momentum“, Phys. Rev. D 112, 074001 (2025).

https://journals.aps.org/prd/abstract/10.1103/9k1c-kwvw

Related to Project A02