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Fourier transform of the generalized parton distributions (GPDs) at zero skewness with respect to the transverse momentum transfer gives the distribution of partons in the impact parameter space. We investigate the GPDs as well as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Dahiya , A. Mukherjee , S. Ray

We present the first lattice calculation of the valence-quark generalized parton distribution (GPD) of the pion using the large-momentum effective theory (LaMET) approach. We focus on the zero-skewness limit, where the GPD has a…

High Energy Physics - Lattice · Physics 2020-05-26 Jiunn-Wei Chen , Huey-Wen Lin , Jian-Hui Zhang

We analyze light meson electroproduction within the handbag model, where the amplitude factorizes into Generelized Parton Distributions (GPDs) and a hard scattering part. The cross sections and spin asymmetries for various vector and…

High Energy Physics - Phenomenology · Physics 2015-05-30 S. V. Goloskokov

We calculate the elastic form factors and the Generalized Parton Distributions (GPDs) for four low-lying bound states of a demonstration fermion-antifermion system, strong coupling positronium ($e \bar{e}$), using Basis Light-Front…

Nuclear Theory · Physics 2016-05-18 Lekha Adhikari , Yang Li , Xingbo Zhao , Pieter Maris , James P. Vary , Alaa Abd El-Hady

In order to learn effectively from measurements of generalised parton distributions (GPDs), it is desirable to compute them using a framework that can potentially connect empirical information with basic features of the Standard Model. We…

Nuclear Theory · Physics 2018-05-09 C. Mezrag , L. Chang , H. Moutarde , C. D. Roberts , J. Rodriguez-Quintero , F. Sabatie , S. M. Schmidt

This article is an introduction to parton distribution functions and their generalizations which describe the quark and gluon structure of hadrons, and can be measured in various high-energy scattering processes. We provide the theoretical…

High Energy Physics - Phenomenology · Physics 2026-01-23 Cédric Lorcé , A. Metz , B. Pasquini , P. Schweitzer

The genuine twist-3 quark-gluon contributions to the Generalized Parton Distributions (GPDs) are estimated in the model of the instanton vacuum. These twist-3 effects are found to be parametrically suppressed relative to the ``kinematical''…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Kiptily , M. V. Polyakov

We employ a recently proposed form-invariant algebraic model for the quark propagator and the Bethe-Salpeter amplitude of pseudoscalar mesons to study the internal structure of $\eta$ and $\eta'$ mesons. This model facilitates the…

High Energy Physics - Phenomenology · Physics 2026-02-12 L. Albino , K. Raya , R. J. Hernández-Pinto , B. Almeida-Zamora , J. Segovia , A. Huet , A. Bashir

Generalized parton distributions encompass a wealth of information concerning the three-dimensional quark and gluon structure of the nucleon, and thus provide an ideal focus for the study of hadron structure using lattice QCD. The special…

We review the latest progress in lattice QCD calculations of the partonic structure of hadrons. This structure is, in particular, described in terms of $x$-dependent distributions, the simplest of which are the standard parton distribution…

High Energy Physics - Lattice · Physics 2021-10-18 Krzysztof Cichy

Using heavy baryon chiral perturbation theory we study the leading chiral corrections to the complete set of nucleon generalized parton distributions (GPDs). We compute the leading quark mass and momentum transfer dependence of the moments…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shung-ichi Ando , Jiunn-Wei Chen , Chung-Wen Kao

We define in a systematic way, based on the light-cone collinear factorization method, the chiral-odd generalized parton distributions (GPDs) of a pseudoscalar hadron (such as the pi0) up to twist 5. For that, we introduce the relevant…

High Energy Physics - Phenomenology · Physics 2013-09-03 B. Pire , L. Szymanowski , S. Wallon

Transition generalized parton distributions (GPDs) describe matrix elements of nonlocal partonic QCD operators between the ground and excited baryon states and provide new tools for quantifying and interpreting the structure of baryon…

High Energy Physics - Phenomenology · Physics 2025-09-03 Kirill Semenov-Tian-Shansky

The new parameterization of the generalized parton distributions t-dependence is proposed. It allows one to reproduce sufficiently well the electromagnetic form factors of the proton and neutron at small and large momentum transfer. The…

High Energy Physics - Phenomenology · Physics 2009-02-20 O. V. Selyugin , O. V. Teryaev

It is reported on an analysis of electroproduction of light mesons at small Bjorken-x within the handbag approach. The partonic subprocesses, meson electroproduction off quarks or gluons, are calculated within the modified perturbative…

High Energy Physics - Phenomenology · Physics 2015-05-19 P. Kroll

We present a symmetry-preserving scheme to derive the pion and kaon generalized parton distributions (GPDs) in Euclidean space. The key to maintaining crucial symmetries under this approach is the treatment of the scattering amplitude, such…

High Energy Physics - Phenomenology · Physics 2023-01-27 Zanbin Xing , Minghui Ding , Khépani Raya , Lei Chang

We calculate all leading-twist gluon generalized parton distributions (GPDs) inside the proton at nonzero skewness using the basis light-front quantization framework. The proton's light-front wave functions are derived from a light-front…

High Energy Physics - Phenomenology · Physics 2025-01-20 Pengxiang Zhang , Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

Helicity-dependent generalized parton distributions of the nucleon are derived from the overlap representation of generalized parton distributions using light-cone wave functions obtained in constituent quark models. Results from two…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Boffi , B. Pasquini , M. Traini

We present the first calculation of the $x$-dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix…

Parton distribution functions give the probability to find partons (quarks and gluons) in a hadron as a function of the fraction x of the proton's momentum carried by the parton. They are conventionally defined in terms of matrix elements…

High Energy Physics - Lattice · Physics 2009-10-28 Davison E. Soper