Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses - INSPIRE

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Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses

Xiang Gao
(
- Argonne
)
,
Andrew D. Hanlon
(
- Brookhaven
)
,
Jack Holligan
(
- Maryland U. and
- SUNY, Stony Brook
)
,
Nikhil Karthik
(
- APS, New York and
- Florida Intl. U.
)
,
Swagato Mukherjee
(
- Brookhaven
)

Dec 23, 2022

20 pages

Published in:

Phys.Rev.D 107 (2023) 7, 074509

Published: Apr 1, 2023

e-Print:

2212.12569 [hep-lat]

DOI:

10.1103/PhysRevD.107.074509 (publication)

View in:

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Abstract: (APS)

We present a lattice QCD calculation of the unpolarized isovector quark parton distribution function (PDF) of the proton utilizing a perturbative matching at next-to-next-to-leading-order (NNLO). The calculations are carried out using a single ensemble of gauge configurations generated with

N_{f} = 2 + 1

highly-improved staggered quarks with physical masses and a lattice spacing of

a = 0.076 fm

. We use one iteration of hypercubic smearing on these gauge configurations, and the resulting smeared configurations are then used for all aspects of the subsequent calculation. For the valence quarks, we use the Wilson-clover action with physical quark masses. We consider several methods for extracting information on the PDF. We first extract the lowest four Mellin moments using the leading-twist operator product expansion approximation. Then, we determine the

x

dependence of the PDF through a deep neural network within the pseudo-PDF approach and additionally through the framework of large-momentum effective theory utilizing a hybrid renormalization scheme. This is the first application of the NNLO matching coefficients for the nucleon directly at the physical point.

Note:

20 pages, 17 figures, and 3 tables; version accepted for publication in PRD

quark: mass
quark: staggered
parton: distribution function
quark: valence
renormalization: hybrid
lattice field theory
operator product expansion
nucleon
quark parton
isovector

References(81)

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