# Moments of Ioffe time parton distribution functions from non-local matrix elements

## Abstract

Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.

- Authors:

- The College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Heidelberg Univ., Heidelberg (Germany)

- Publication Date:

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

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

- OSTI Identifier:
- 1489800

- Report Number(s):
- JLAB-THY-18-2872; DOE/OR/23177-4585; arXiv:1807.10933

Journal ID: ISSN 1029-8479; PII: 9486

- Grant/Contract Number:
- FG02-04ER41302; AC05-0623177; AC02-05CH11231

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 11; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Lattice Quantum Field Theory

### Citation Formats

```
Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements. United States: N. p., 2018.
Web. doi:10.1007/JHEP11(2018)178.
```

```
Karpie, Joseph, Orginos, Kostas, & Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements. United States. doi:10.1007/JHEP11(2018)178.
```

```
Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Wed .
"Moments of Ioffe time parton distribution functions from non-local matrix elements". United States. doi:10.1007/JHEP11(2018)178. https://www.osti.gov/servlets/purl/1489800.
```

```
@article{osti_1489800,
```

title = {Moments of Ioffe time parton distribution functions from non-local matrix elements},

author = {Karpie, Joseph and Orginos, Kostas and Zafeiropoulos, Savvas},

abstractNote = {Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.},

doi = {10.1007/JHEP11(2018)178},

journal = {Journal of High Energy Physics (Online)},

number = 11,

volume = 2018,

place = {United States},

year = {2018},

month = {11}

}

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Cited by: 9 works

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#### Figures / Tables:

Figure 1:

**Left:**The first and second derivative of $M(ν, z^2)$ with respect to $ν$ at $ν$ = 0 rescaled by $i$ as defined in Eq. (3.6).**Right:**The two lowest moments of the isovector unpolarized PDFs at µ = 3 GeV versus $z^2$. The shaded error bands are themore »
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*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*