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We present a comprehensive study of the lowest moments of nucleon generalized parton distributions in N_f=2+1 lattice QCD using domain wall valence quarks and improved staggered sea quarks. Our investigation includes helicity dependent and…

For the generalized parton distribution (GPD) E, extracted from hard exclusive processes and the Pauli form factor of the nucleon, the second moments for quarks and gluons at $t=0$ are calculated and their scale dependence analyzed. The…

High Energy Physics - Phenomenology · Physics 2025-01-03 Peter Kroll

The Fourier transform of generalized parton distribution functions at xi=0 describes the distribution of partons in the transverse plane. The physical significance of these impact parameter dependent parton distribution functions is…

High Energy Physics - Phenomenology · Physics 2011-05-05 Matthias Burkardt

Generalized parton distributions (GPDs) provide a new and powerful framework for a complete description of the nucleon structure. They can provide a three-dimensional picture of how the quarks and gluons form a nucleon. GPDs can be probed…

High Energy Physics - Experiment · Physics 2019-08-13 C. Schill

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

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

We discuss the generalized parton distributions (GPDs) for unpolarized hadrons, as a continuation of our recent work on hadronic structure on the light front. We analyze the unpolarized GPDs for the light nucleon and delta, as well as…

High Energy Physics - Phenomenology · Physics 2023-05-17 Edward Shuryak , Ismail Zahed

We present a determination of the structure functions of the off-forward Compton amplitude $\mathcal{H}_1$ and $\mathcal{E}_1$ from the Feynman-Hellmann method in lattice QCD. At leading twist, these structure functions give access to the…

High Energy Physics - Lattice · Physics 2024-07-11 A. Hannaford-Gunn , K. U. Can , J. A. Crawford , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

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 report on the use of Feynman-Hellmann techniques to calculate the off-forward Compton amplitude (OFCA) in lattice QCD. At leading-twist, the Euclidean OFCA is parameterised by the Mellin moments of generalised parton distributions…

We investigate the chiral-even twist-3 generalized parton distributions (GPDs) of valence quarks in the proton at nonzero skewness $\xi$, using a spectator model with scalar and axial-vector diquarks. We consider the exponential form factor…

High Energy Physics - Phenomenology · Physics 2024-07-25 Chentao Tan , Zhun Lu

We present a calculation of the generalized parton distributions (GPDs) of the photon when the helicity of the initial photon is different from the final photon. We calculate the GPDs using overlaps of photon light-front wave functions…

High Energy Physics - Phenomenology · Physics 2015-06-12 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

We revisit the definition of the leading-twist chiral-even generalized parton distributions (GPDs) for $N \to \Delta$ baryon transitions. We identify and address deficiencies in previous definitions of the transition GPDs inspired by the…

High Energy Physics - Phenomenology · Physics 2025-11-20 June-Young Kim , Kirill M. Semenov-Tian-Shansky , Ho-Yeon Won , Sangyeong Son , Christian Weiss

Generalized Parton Distributions are investigated within a holographic approach where the string modes in the fifth dimension describe the nucleon in a bottom-up or AdS/QCD framework. The aim is to bring the AdS/QCD results in the realm of…

High Energy Physics - Phenomenology · Physics 2017-04-25 Marco Claudio Traini

Generalized parton distributions (GPDs) enter QCD factorization theorems for hard exclusive reactions. They encode rich information about hadron partonic structure. We explore a possibility to constrain GPDs in experiments at LHC…

High Energy Physics - Phenomenology · Physics 2015-11-20 D. Yu. Ivanov , B. Pire , L. Szymanowski , J. Wagner

Generalized parton distribution functions (GPDs) of spin-3/2 particles are defined for the first time in this paper. Eight unpolarized and eight polarized GPDs are found. In the forward limit of GPDs, the structure functions and parton…

High Energy Physics - Phenomenology · Physics 2023-01-04 Dongyan Fu , Bao-Dong Sun , Yubing Dong

We show how the generalised (or skewed) parton distributions of the proton, H(x, xi; k_t^2, mu^2), unintegrated over the partonic transverse momenta, can be calculated from the known conventional parton distributions, q(x, mu^2) and g(x,…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. D. Martin , M. G. Ryskin

Spin and transverse momentum dependent parton distributions - Generalized Parton Distributions (GPDs) - are at the interface between the QCD structure of the hadrons and observable quantities. The GPDs are linear superpositions within…

High Energy Physics - Phenomenology · Physics 2015-10-27 Gary R. Goldstein , Simonetta Liuti

We systematically evaluate observables for hard exclusive electroproduction of real photons and compare them to experiment using a set of Generalized Parton Distributions (GPDs) whose parameters are constrained by Deeply Virtual Meson…

High Energy Physics - Phenomenology · Physics 2025-01-08 Peter Kroll , Hervé Moutarde , Franck Sabatié

Recently the concept of quasi parton distributions (quasi-PDFs) for hadrons has been proposed. Quasi-PDFs are defined through spatial correlation functions and as such can be computed numerically using quantum chromodynamics on a…

High Energy Physics - Phenomenology · Physics 2018-12-26 Shohini Bhattacharya , Christopher Cocuzza , Andreas Metz
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