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Quasi parton distributions of pions at large longitudinal momentum

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arxiv 2502.15384 v1 pith:E5ZBI7IC submitted 2025-02-21 hep-ph

Quasi parton distributions of pions at large longitudinal momentum

Dao-yu Zhang , Chuang Huang , Wei-jie Fu This is my paper
classification hep-ph
keywords momentumquasi-pdalargepartonquasiapproachdistributioneffective
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

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