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Related papers: Generalized Parton Distributions and Their Singula…

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We introduce a new family of Generalised Parton Distribution models able to fulfil by construction all the theoretical properties imposed by QCD. These models are built on standard Parton Distribution Functions and extended to off-forward…

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

We give an overview of the theory for generalized parton distributions. Topics covered are their general properties and physical interpretation, the possibility to explore the three-dimensional structure of hadrons at parton level, their…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Diehl

Recently, we made significant advancements in improving the computational efficiency of lattice QCD calculations for Generalized Parton Distributions (GPDs). This progress was achieved by adopting calculations of matrix elements in…

Matrix factor models have been growing popular dimension reduction tools for large-dimensional matrix time series. However, the heteroscedasticity of the idiosyncratic components has barely received any attention. Starting from the pseudo…

Statistics Theory · Mathematics 2024-12-03 Yong He , Yujie Hou , Haixia Liu , Yalin Wang

In this talk an introduction to generalized parton distributions is given. Recent developments are shortly reviewed, including non-perturbative calculations, phenomenological aspects and evaluation of higher order perturbative and power…

High Energy Physics - Phenomenology · Physics 2015-06-25 D. Müller

The pion structure is represented by Generelazed parton distribution functions (GPDs). The momentum transfer dependence of GPDs of the pion was obtained on the basis of the form of GPDs of the nucleon in the framework of the high energy…

High Energy Physics - Phenomenology · Physics 2021-08-11 O. V. Selyugin

To leading order approximation, the physical content of generalized parton distributions (GPDs) that is accessible in deep virtual electroproduction of photons or mesons is contained in their value on the cross-over trajectory. This…

High Energy Physics - Phenomenology · Physics 2008-12-18 Kresimir Kumericki , Dieter Mueller , Kornelija Passek-Kumericki

This paper puts forward a new generalized polynomial dimensional decomposition (PDD), referred to as GPDD, comprising hierarchically ordered measure-consistent multivariate orthogonal polynomials in dependent random variables. Unlike the…

Numerical Analysis · Mathematics 2018-10-30 Sharif Rahman

Off-shell effects in generalized parton distributions (GPDs) of the pion, appearing, e.g., in the Sullivan process, are considered. Due to the lack of crossing symmetry, the moments of GPDs involve also odd powers of the skewness…

High Energy Physics - Phenomenology · Physics 2023-03-31 Wojciech Broniowski , Vanamali Shastry , Enrique Ruiz Arriola

The comparative analysis of different sets of the parton distribution functions (PDFs), based on the description of the whole sets of experimental data of electromagnetic form factors of the proton and neutron, is made in the framework of…

High Energy Physics - Phenomenology · Physics 2015-06-19 O. V. Selyugin

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\alpha_s$ for all of the twist-2 quark and gluon operators. We rederive the relevant one-loop evolution kernels,…

High Energy Physics - Phenomenology · Physics 2024-02-16 Valerio Bertone , Rafael F. del Castillo , Miguel G. Echevarria , Óscar del Río , Simone Rodini

Parton distribution functions (DFs) are defining expressions of hadron structure. Exploiting the role of effective charges in quantum chromodynamics, an algebraic scheme is described which, given any hadron's valence parton DFs at the…

High Energy Physics - Phenomenology · Physics 2023-06-07 Pei-Lin Yin , Yin-Zhen. XuID , Zhu-Fang Cui , Craig D. Roberts , José Rodríguez-Quintero

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 the generalized parton distributions (GPDs) for the valence quarks of the pion and the kaon in both momentum space and position space within the basis light-front quantization framework. These GPDs are obtained from the…

High Energy Physics - Phenomenology · Physics 2021-12-16 Lekha Adhikari , Chandan Mondal , Sreeraj Nair , Siqi Xu , Shaoyang Jia , Xingbo Zhao , James P. Vary

We calculate the leading-twist, helicity-independent generalized parton distributions (GPDs) of the proton, at finite skewness, in the Nambu--Jona-Lasinio (NJL) model of quantum chomodynamics (QCD). The NJL model reproduces low-energy…

Nuclear Theory · Physics 2020-03-18 Adam Freese , Ian C. Cloët

We present a systematic study of twist-3 generalized parton distributions (GPDs) for $\bar{u}$ and $\bar{d}$ sea quarks in the proton at zero skewness ($\xi=0$) using the light-cone formalism with overlap representation. The proton wave…

High Energy Physics - Phenomenology · Physics 2025-04-21 Xiaoyan Luan , Zhun Lu

Generalized parton distributions (GPDs) are three-dimensional structure functions of hadrons, and they can reveal the orbital-angular-momentum contributions to the nucleon spin. Therefore, GPDs are important for solving the proton spin…

High Energy Physics - Phenomenology · Physics 2020-01-08 Qin-Tao Song

We investigate the chiral odd generalized parton distributions (GPDs) for the quantum fluctuations of an electron in QED. The light-front wave function (LFWF) of this system gives a template for the quark spin-one diquark structure of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Harleen Dahiya , Asmita Mukherjee

While the chiral-even content of the nucleon is better and better studied, the chiral-odd transversity generalized parton distributions (GPDs) remain almost unknown. These GPDs can be accessed experimentally through the exclusive…

High Energy Physics - Phenomenology · Physics 2010-11-22 M. El Beiyad , B. Pire , M. Segond , L. Szymanowski , S. Wallon
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