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The correct description of the hadron's structure requires understanding how quarks and gluons form the observable hadrons and how they are distributed within them. Two key nonperturbative quantities encapsulate this information: parton…

High Energy Physics - Phenomenology · Physics 2025-12-17 Gustavo B. Bopsin , Bruno El-Bennich , Gastão Krein , Fernando E. Serna , Roberto C. da Silveira

The perturbative procedure of matching was proposed to connect parton quasi-distributions that are calculable in lattice QCD to the corresponding light-cone distributions which enter physical processes. Such a matching procedure has so far…

High Energy Physics - Phenomenology · Physics 2020-12-22 Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Aurora Scapellato , Fernanda Steffens

We investigate the polarized parton distribution functions (PDFs) and their uncertainties by using the world data on the spin asymmetry A_1. The uncertainties of the polarized PDFs are estimated by the Hessian method. The up and down…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Hirai , S. Kumano , N. Saito

We present a lattice QCD calculation of the transversity isovector- and isoscalar-quark parton distribution functions (PDFs) of the proton utilizing a perturbative matching at next-to-leading-order (NLO) accuracy. Additionally, we determine…

High Energy Physics - Lattice · Physics 2024-03-25 Xiang Gao , Andrew D. Hanlon , Swagato Mukherjee , Peter Petreczky , Qi Shi , Sergey Syritsyn , Yong Zhao

A precise knowledge of nuclear parton distribution functions (nPDFs) is -- among other things -- important for the unambiguous interpretation of hard process data taken in pA and AA collisions at the Relativistic Heavy Ion Collider (RHIC)…

High Energy Physics - Phenomenology · Physics 2021-12-02 nCTEQ Collaboration , P. Duwentäster , L. A. Husová , T. Ježo , M. Klasen , K. Kovařík , A. Kusina , K. F. Muzakka , F. I. Olness , I. Schienbein , J. Y. Yu

We present for the first time complete next-to-next-to-leading-order coefficient functions to match flavor non-singlet quark correlation functions in position space, which are calculable in lattice QCD, to parton distribution functions…

High Energy Physics - Phenomenology · Physics 2021-02-24 Zheng-Yang Li , Yan-Qing Ma , Jian-Wei Qiu

In this article, we review recent lattice calculations on the $x$-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to…

High Energy Physics - Lattice · Physics 2021-03-17 Martha Constantinou

To calculate the transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice QCD, an important goal yet to be realized, it is crucial to establish a viable non-perturbative renormalization approach for linear…

High Energy Physics - Lattice · Physics 2022-08-31 Kuan Zhang , Xiangdong Ji , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang

We apply the Distillation spatial smearing program to the extraction of the unpolarized isovector valence PDF of the nucleon. The improved volume sampling and control of excited-states afforded by distillation leads to a dramatically…

We critically examine uncertainties in parton distribution functions (PDFs) at large x arising from nuclear effects in deuterium F2 structure function data. Within a global PDF analysis, we assess the impact on the PDFs from uncertainties…

High Energy Physics - Phenomenology · Physics 2011-08-17 A. Accardi , W. Melnitchouk , J. F. Owens , M. E. Christy , C. E. Keppel , L. Zhu , J. G. Morfin

The large-momentum effective theory (LaMET) framework has been widely used to determine the Bjorken-$x$ dependence of parton distribution functions (PDFs) in lattice-QCD hadron-structure calculations. In this proceeding, I highlighted…

High Energy Physics - Lattice · Physics 2021-10-14 Huey-Wen Lin

A set of quasi-parton distribution functions (quasi-PDFs) have been recently proposed by Ji. Defined as the matrix elements of equal-time spatial correlations, they can be computed on the lattice and should reduce to the standard PDFs when…

High Energy Physics - Phenomenology · Physics 2015-03-03 Leonard Gamberg , Zhong-Bo Kang , Ivan Vitev , Hongxi Xing

We present a nonperturbative determination of the pion valence parton distribution function (PDF) moment ratios $\left\langle x^{n-1} \right\rangle / \left\langle x \right\rangle$ up to $n=6$, using the gradient flow in lattice QCD. As a…

The pseudo- and the quasi-PDFs defined through space-like separated bilocal operators allow direct access to the parton distribution functions (PDFs) from first principles within lattice gauge theory. This formalism, however, leaves the…

High Energy Physics - Phenomenology · Physics 2023-05-04 Giovanni Antonio Chirilli

This is the second of a pair of articles on scattering of glue by glue, in which we give the light-cone gauge calculation of the one-loop on-shell helicity conserving scattering amplitudes for gluon-gluon scattering (neglecting quark…

High Energy Physics - Theory · Physics 2014-11-18 D. Chakrabarti , J. Qiu , C. B. Thorn

We present an analysis strategy for probing physics beyond the Standard Model via modifications to the parton distribution functions (PDFs) in a muon beam, which measurably alter the kinematics of all hard processes at a future muon…

High Energy Physics - Phenomenology · Physics 2026-02-20 Pouya Asadi , Austin Batz , Samuel Homiller , Tien-Tien Yu

We present numerical studies of the leading non-linear corrections to the DGLAP evolution equations of parton distribution functions (PDFs) resulting from gluon recombination, which reduce the pace of evolution at small momentum fractions…

High Energy Physics - Phenomenology · Physics 2024-06-21 Pit Duwentäster , Vadim Guzey , Ilkka Helenius , Hannu Paukkunen

We explore the potential of an Electron Ion Collider to determine nuclear modifications of PDFs. We find that gluon shadowing can be accurately measured down to x=0.001, and discuss the possibility of detecting non--linear QCD effects with…

High Energy Physics - Phenomenology · Physics 2011-06-21 Alberto Accardi , Vadim Guzey , Juan Rojo

To facilitate lattice QCD calculations of nucleon structute, a set of quasi-parton distributions were recently introduced. These quasi-PDFs were shown to reduce to standard PDFs when the nucleon is boosted to high energies, $P_z\rightarrow…

High Energy Physics - Phenomenology · Physics 2016-05-24 Leonard Gamberg , Zhong-Bo Kang , Ivan Vitev , Hongxi Xing

In this paper, we develop an approach to calculate the valence-quark quasi parton distribution amplitude (quasi-PDA) and quasi parton distribution function (quasi-PDF) for the pion with a large longitudinal momentum with the functional…

High Energy Physics - Phenomenology · Physics 2025-02-24 Dao-yu Zhang , Chuang Huang , Wei-jie Fu