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We revise the relation between Parton Distribution Functions (PDFs) and matrix elements computable from lattice QCD, focusing on the quasi-Parton Distribution Functions (qPDFs) approach. We exploit the relation between PDFs and qPDFs in the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Krzysztof Cichy , Luigi Del Debbio , Tommaso Giani

We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass…

In the large-momentum expansion for parton distribution functions (PDFs), the natural physics scale is the longitudinal momentum ($p_z$) of the quarks (or gluons) in a large-momentum hadron. We show how to expose this scale dependence…

High Energy Physics - Phenomenology · Physics 2023-05-17 Yushan Su , Jack Holligan , Xiangdong Ji , Fei Yao , Jian-Hui Zhang , Rui Zhang

We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing…

Recently, a novel approach has been proposed to compute parton distributions through the use of boosted correlators fixed in the Coulomb gauge from lattice QCD, within the framework of Large-Momentum Effective Theory (LaMET). This approach…

High Energy Physics - Lattice · Physics 2026-02-13 Xiang Gao , Jinchen He , Joshua Lin , Swagato Mukherjee , Peter Petreczky , Rui Zhang , Yong Zhao

We present a systematic study of the nucleon gluon parton distribution function (PDF) using the self-renormalized large-momentum effective theory (LaMET) approach in lattice QCD. This work extends previous gluon-PDF extractions by…

High Energy Physics - Lattice · Physics 2025-12-11 Alex NieMiera , William Good , Huey-Wen Lin , Fei Yao

We present the next-to-next-to-leading order (NNLO) calculation of quark quasi parton distribution functions (PDFs) in the large momentum effective theory. The nontrivial factorization at this order is established explicitly and the full…

High Energy Physics - Phenomenology · Physics 2021-02-24 Long-Bin Chen , Wei Wang , Ruilin Zhu

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

We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive…

High Energy Physics - Phenomenology · Physics 2020-12-30 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

We propose a new approach to determining quasi parton distribution functions (PDFs) from lattice quantum chromodynamics. By incorporating the gradient flow, this method guarantees that the lattice quasi PDFs are finite in the continuum…

High Energy Physics - Lattice · Physics 2017-04-26 Christopher Monahan , Kostas Orginos

Large momentum effective theory allows extraction of hadron parton distribution functions in lattice QCD by matching them to quark bilinear matrix elements of hadrons with large momenta. We calculate the matching kernels for the…

High Energy Physics - Lattice · Physics 2022-08-17 Chien-Yu Chou , Jiunn-Wei Chen

In high-energy particle physics, extracting parton distribution functions (PDFs) from lattice quantum chromodynamics (QCD) calculations remains a significant challenge, particularly due to the divergent nature of perturbative expansions at…

High Energy Physics - Phenomenology · Physics 2024-11-26 Jia-Lu Zhang

We present a lattice-QCD calculation of the unpolarized isovector parton distribution function (PDF) using ensembles at the physical pion mass with large proton boost momenta $P_z \in \{2.2,2.6,3.0\}$~GeV within the framework of…

High Energy Physics - Lattice · Physics 2018-05-21 Jiunn-Wei Chen , Luchang Jin , Huey-Wen Lin , Yu-Sheng Liu , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

Studying the structure of nucleons is not only important to understanding the strong interactions of quarks and gluons, but also to improving the precision of new-physics searches. Since a broad class of experiments, including the LHC and…

High Energy Physics - Lattice · Physics 2017-01-02 Huey-Wen Lin

Although equivalent in the infinite-momentum limit, large-momentum effective theory (LaMET) and short-distance operator product expansion (SD-OPE) are two different approaches to extract parton distribution functions (PDFs) from…

High Energy Physics - Lattice · Physics 2022-09-21 Xiangdong Ji

Since the parton model was introduced by Feynman more than fifty years ago, we have learned much about the partonic structure of the proton through a large body of high-energy experimental data and dedicated global fits. However,…

High Energy Physics - Phenomenology · Physics 2021-09-08 Xiangdong Ji , Yu-Sheng Liu , Yizhuang Liu , Jian-Hui Zhang , Yong Zhao

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

Parton distribution functions (PDFs) at large $x$ are challenging to extract from experimental data, yet they are essential for understanding hadron structure and searching for new physics beyond the Standard Model. Within the framework of…

High Energy Physics - Phenomenology · Physics 2025-03-03 Xiangdong Ji , Yizhuang Liu , Yushan Su , Rui Zhang

We propose a revised definition of quasi-distributions within the framework of large-momentum effective theory (LaMET) that improves convergence towards the large-momentum limit. Since the definition of quasi-distributions is not unique,…

High Energy Physics - Phenomenology · Physics 2019-05-13 Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Andreas Schäfer , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

Large-momentum effective theory (LaMET) provides an approach to directly calculate the $x$-dependence of generalized parton distributions (GPDs) on a Euclidean lattice through power expansion and a perturbative matching. When a parton's…

High Energy Physics - Phenomenology · Physics 2025-07-29 Jack Holligan , Huey-Wen Lin , Rui Zhang , Yong Zhao