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Extraction of Next-to-Next-to-Leading-Order Parton Distribution Functions from Lattice QCD Calculations
Zheng-Yang Li1, Yan-Qing Ma1,2,3, Jian-Wei Qiu4
1School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China.
Physical Review Letters
|March 5, 2021
Summary
We calculated new matching coefficients to connect lattice QCD calculations with parton distribution functions (PDFs). This improves predictions for hadron structure, offering a powerful tool for nuclear physics research.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics
- Computational Physics
Background:
- Parton distribution functions (PDFs) describe hadron structure.
- Lattice QCD provides a non-perturbative approach to QCD.
- Connecting lattice QCD to PDFs is crucial for theoretical predictions.
Purpose of the Study:
- To compute complete next-to-next-to-leading-order coefficient functions.
- To match flavor nonsinglet quark correlation functions in position space to PDFs.
- To enable comparisons between lattice QCD and experimental data.
Main Methods:
- Calculation of coefficient functions at NNNLO.
- Matching lattice QCD correlation functions to PDFs.
- Fourier transformation to obtain quasi-PDF and pseudo-PDF matching coefficients.
Main Results:
- First-ever complete NNNLO coefficient functions for flavor nonsinglet quark correlations.
- Predictions for valence-quark correlation functions with reduced uncertainty.
- Matching coefficients for quasi-PDFs and pseudo-PDFs derived.
Conclusions:
- The developed method enhances the extraction of hadron partonic structure.
- This work bridges lattice QCD calculations and experimental measurements.
- The approach is generalizable to sea-quark and gluon correlations.
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