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We analyze the moments of parton distribution functions in the pion calculated in lattice QCD, paying particular attention to their chiral extrapolation. Using the lowest three non-trivial moments calculated on the lattice, we assess the…

High Energy Physics - Lattice · Physics 2008-11-26 W. Detmold , W. Melnitchouk , A. W. Thomas

Following a ground-breaking proposal by Ji~\cite{PhysRevLett.110.262002}, numerical simulations of Quantum Chromo Dynamics (QCD) on a Euclidean lattice have provided new, valuable information on the structure of hadrons. In this talk, we…

High Energy Physics - Lattice · Physics 2022-11-29 Luigi Del Debbio

We present a framework for constructing Generalized Parton Distributions (GPDs) using holographic QCD in the large $N_c$ limit, with a focus on low-x and finite skewness. Our approach utilizes holographic amplitudes for exclusive…

High Energy Physics - Phenomenology · Physics 2023-07-04 Kiminad A. Mamo , Ismail Zahed

We present a systematic study demonstrating the impact of lattice QCD data on the extraction of generalised parton distributions (GPDs). For this purpose, we use a previously developed modelling of GPDs based on machine learning techniques…

High Energy Physics - Phenomenology · Physics 2023-06-05 Michael Joseph Riberdy , Hervé Dutrieux , Cédric Mezrag , Paweł Sznajder

Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and quarks and gluons within it. We propose to extract PDFs from QCD global analysis of "data" generated by lattice QCD…

High Energy Physics - Phenomenology · Physics 2018-10-24 Yan-Qing Ma , Jian-Wei Qiu

The strong force which binds hadrons is described by the theory of quantum chromodynamics (QCD). Determining the character and manifestations of QCD is one of the most important and challenging outstanding issues necessary for a…

High Energy Physics - Lattice · Physics 2025-06-06 Huey-Wen Lin

We study Generalized Parton Distribution functions (GPDs) usually measured in hard exclusive processes and encoding information on the three dimensional partonic structure of hadrons and their spin decomposition, for non zero skewness…

High Energy Physics - Phenomenology · Physics 2017-06-28 Matteo Rinaldi

The definitions of the quark and gluon transversity generalized parton distributions (GPDs) in spin-3/2 particles are obtained in the light-cone gauge. It is found that they contain 16 independent components for each parton. Their even or…

High Energy Physics - Phenomenology · Physics 2025-11-04 Dongyan Fu , Yubing Dong , S. Kumano

Reconstructing the internal three-dimensional quark and gluon structures of hadrons through generalized parton distributions (GPDs) from hard exclusive scattering processes is one of the most challenging tasks in nuclear and particle…

High Energy Physics - Phenomenology · Physics 2025-05-13 Jian-Wei Qiu , Nobuo Sato , Zhite Yu

We determine the generalized form factors, which correspond to the second Mellin moment (i.e., the first $x$-moment) of the generalized parton distributions of the nucleon at leading twist. The results are obtained using lattice QCD with…

High Energy Physics - Lattice · Physics 2019-07-30 Gunnar S. Bali , Sara Collins , Meinulf Göckeler , Rudolf Rödl , Andreas Schäfer , André Sternbeck

The Generalized Parton Distributions (GPDs) of the nucleon are analyzed within the relativistic constituent quark model formulated on the light-front. It is shown that the matrix elements of the plus component of the one-body vector current…

High Energy Physics - Phenomenology · Physics 2017-08-23 Silvano Simula

The transversity generalized parton distributions (tGPDs) of the the pion, involving matrix elements of the tensor bilocal quark current, are analyzed in chiral quark models. We apply the nonlocal chiral models involving a…

High Energy Physics - Phenomenology · Physics 2013-05-29 Alexander E. Dorokhov , Wojciech Broniowski , Enrique Ruiz Arriola

We calculate the leading-twist helicity-dependent generalized parton distributions (GPDs) of the proton at finite skewness in the Nambu--Jona-Lasinio (NJL) model of quantum chromodynamics (QCD). From these (and previously calculated…

Nuclear Theory · Physics 2021-04-21 Adam Freese , Ian C. Cloët

Understanding the internal structure of the proton-including the distributions of quarks and gluons and their contributions to proton properties such as mass-remains a central challenge in quantum chromodynamics (QCD). While quark…

High Energy Physics - Phenomenology · Physics 2026-03-06 Jiali Deng , Defu Hou

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

In this document, we summarize the status and challenges of calculating parton physics in lattice QCD for the US Particle Physics Community Planning Exercise (a.k.a. "Snowmass"). While PDF-moments calculations have been very successful and…

A light-front holographic model is used to illustrate an algebraic scheme for constructing a representation of a hadron's zero-skewness generalised parton distribution (GPD) from its valence-quark distribution function (DF) and…

High Energy Physics - Phenomenology · Physics 2024-10-18 Xiaobin Wang , Zanbin Xing , Lei Chang , Minghui Ding , Khépani Raya , Craig D. Roberts

In these proceedings we discuss recent progress in nucleon structure using lattice QCD simulations at or near the physical value of the pion mass. Main focus will be given in observables such as the nucleon axial charge and the first…

High Energy Physics - Lattice · Physics 2017-01-12 Martha Constantinou

A simple model is presented for the parton distributions in hadrons. The parton momenta in the hadron rest frame are derived from a spherically symmetric, Gaussian, distribution having a width motivated by the Heisenberg uncertainty…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Edin , G. Ingelman

We present results of the x-dependence of the unpolarized gluon PDF for the proton. We use an $N_f=2+1+1$ ensemble of maximally twisted mass fermions with clover improvement and the Iwasaki improved gluon action. The quark masses are tuned…

High Energy Physics - Lattice · Physics 2022-12-23 Joseph Delmar , Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Kyriakos Hadjiyiannakou