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PreprintCC0arXiv

Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators

  • Jialu Zhang
  • Xiangdong Ji
  • Andreas Schäfer
  • Rui Zhang
  • Christian Zimmermann
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Abstract

The universality of the large momentum expansion allows computing parton distribution functions (PDFs) starting from any Euclidean correlator with appropriate large momentum Fourier Components. Here we consider current-current correlators which have been used in short-distance expansion to obtain moments of PDFs. The advantage of such correlators is that they have simple renormalization properties and do not have linear power divergences as in quasi-PDF. However, in lattice calculations, four-point functions are needed. Here we present an expansion formula with current-current correlators up to the next-to-leading order, and preliminary numerical calculations with four-point functions.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026parton,
  title = {{Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators}},
  author = {Jialu Zhang and Xiangdong Ji and Andreas Schäfer and Rui Zhang and Christian Zimmermann},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2605.03234},
  eprint = {2605.03234},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.03234},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Parton Distribution Functions from Large Momentum Expansion of Current-Current Correlators
AU  - Jialu Zhang
AU  - Xiangdong Ji
AU  - Andreas Schäfer
AU  - Rui Zhang
AU  - Christian Zimmermann
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2605.03234
UR  - https://arxiv.org/abs/2605.03234
AB  - The universality of the large momentum expansion allows computing parton distribution functions (PDFs) starting from any Euclidean correlator with appropriate large momentum Fourier Components. Here we consider current-current correlators which have been used in short-distance expansion to obtain moments of PDFs. The advantage of such correlators is that they have simple renormalization properties and do not have linear power divergences as in quasi-PDF. However, in lattice calculations, four-point functions are needed. Here we present an expansion formula with current-current correlators up to the next-to-leading order, and preliminary numerical calculations with four-point functions.
ER  -