# Exploring Partonic Structure of Hadrons Using *ab initio* Lattice QCD Calculations

## Abstract

Following our previous proposal, we construct a class of good "lattice cross sections" (LCSs), from which we can study the partonic structure of hadrons from ab initio lattice QCD calculations. These good LCSs, on the one hand, can be calculated directly in lattice QCD, and on the other hand, can be factorized into parton distribution functions (PDFs) with calculable coefficients, in the same way as QCD factorization for factorizable hadronic cross sections. PDFs could be extracted from QCD global analysis of the lattice QCD generated data of LCSs. In conclusion, we also show that the proposed functions for lattice QCD calculation of PDFs in the literature are special cases of these good LCSs.

- Authors:

- Peking Univ., Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 1416474

- Alternate Identifier(s):
- OSTI ID: 1417027

- Report Number(s):
- JLAB-THY-17-2542; DOE/OR/-23177-4216; arXiv:1709.03018

Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1800989

- Grant/Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article: Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 2; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Ma, Yan-Qing, and Qiu, Jian-Wei.
```*Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations*. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.120.022003.

```
Ma, Yan-Qing, & Qiu, Jian-Wei.
```*Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations*. United States. doi:10.1103/PhysRevLett.120.022003.

```
Ma, Yan-Qing, and Qiu, Jian-Wei. Wed .
"Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations". United States.
doi:10.1103/PhysRevLett.120.022003.
```

```
@article{osti_1416474,
```

title = {Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations},

author = {Ma, Yan-Qing and Qiu, Jian-Wei},

abstractNote = {Following our previous proposal, we construct a class of good "lattice cross sections" (LCSs), from which we can study the partonic structure of hadrons from ab initio lattice QCD calculations. These good LCSs, on the one hand, can be calculated directly in lattice QCD, and on the other hand, can be factorized into parton distribution functions (PDFs) with calculable coefficients, in the same way as QCD factorization for factorizable hadronic cross sections. PDFs could be extracted from QCD global analysis of the lattice QCD generated data of LCSs. In conclusion, we also show that the proposed functions for lattice QCD calculation of PDFs in the literature are special cases of these good LCSs.},

doi = {10.1103/PhysRevLett.120.022003},

journal = {Physical Review Letters},

number = 2,

volume = 120,

place = {United States},

year = {Wed Jan 10 00:00:00 EST 2018},

month = {Wed Jan 10 00:00:00 EST 2018}

}

Free Publicly Available Full Text

Publisher's Version of Record at 10.1103/PhysRevLett.120.022003

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Cited by: 2works

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