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Results from a recent analysis of the zero-skewness generalized parton distributions (GPDs) for valence quarks are discussed. The analysis bases on a physically motivated parameterization of the GPDs with a few free parameters adjusted to…

High Energy Physics - Phenomenology · Physics 2025-01-22 P. Kroll

Evolution equations for parton distributions can be approximately diagonalized and solved in moment space without assuming any knowledge of the parton distribution in the region of small x. The evolution algorithm for truncated moments is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lorenzo Magnea , Stefano Forte

Time series of observables measured from complex systems do often exhibit non-normal statistics, their statistical distributions (PDF's) are not gaussian and often skewed, with roughly exponential tails. Departure from gaussianity is…

Data Analysis, Statistics and Probability · Physics 2018-06-29 F. Sattin

We obtain all the leading-twist quark generalized parton distributions (GPDs) inside the proton at nonzero skewness within the basis light-front quantization framework. We employ the light-front wave functions of the proton from a…

High Energy Physics - Phenomenology · Physics 2024-03-12 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

We extract the ratio of the down (d) and up (u) parton distribution functions (PDF's) from the ratio of NMC deuteron and proton structure function F_2(d)/F_2(p), using corrections for nuclear binding effects in the deuteron, which are…

High Energy Physics - Phenomenology · Physics 2007-05-23 U. K. Yang , A. Bodek

We extract the ratio of the down (d) and up (u) parton distribution functions (PDF's) from the ratio of deuteron and proton structure function F_2(d)/F_2(p) measured by NMC. We use corrections for nuclear binding effects in the deuteron,…

High Energy Physics - Phenomenology · Physics 2007-05-23 U. K. Yang , A. Bodek

The soft physics approach to form factors and Compton scattering at moderately large momentum transfer is reviewed. It will be argued that in that approach the Compton cross section is given by the Klein-Nishina cross section multiplied by…

High Energy Physics - Phenomenology · Physics 2009-08-25 Peter Kroll

We propose new parameterizations for the border and skewness functions appearing in the description of 3D nucleon structure in the language of Generalized Parton Distributions (GPDs). These parameterizations are constructed in a way to…

High Energy Physics - Phenomenology · Physics 2019-07-25 H. Moutarde , P. Sznajder , J. Wagner

We present a new determination of the generalized parton distributions (GPDs) with their uncertainties at zero skewness, $ \xi =0 $, through a simultaneous analysis of all available experimental data of the nucleon electromagnetic form…

High Energy Physics - Phenomenology · Physics 2023-05-17 Hadi Hashamipour , Muhammad Goharipour , K. Azizi , S. V. Goloskokov

We present a global analysis program for the generalized parton distributions (GPDs) based on conformal moment expansion. We apply the strategy of universal moment parameterization to fit both the collinear parton distribution functions…

High Energy Physics - Phenomenology · Physics 2022-10-19 Yuxun Guo , Xiangdong Ji , Kyle Shiells

We develop the minimal model of a new leading order parameterization of GPDs introduced by Shuvaev and Polyakov. The model for GPDs H and E is formulated in terms of the forward quark distributions, the Gegenbauer moments of the D-term and…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. Guzey , T. Teckentrup

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

The overlap representation of skewed parton distributions is discussed and applications to wide-angle Compton scattering and electroproduction of mesons are presented. The amplitudes for these processes factorise into parton-level…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Kroll

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Radyushkin

At the present time reliably established that probability density functions of gene expression of microarray experiments possess a number of universal properties. First of all these distributions have power asymptotic and secondly the shape…

Statistics Theory · Mathematics 2015-06-08 Viacheslav Saenko , Yurij Saenko

It has been argued from the earliest days of quantum chromodynamics (QCD) that at asymptotically small values of $x$ the parton distribution functions (PDFs) of the proton behave as $x^\alpha$, where the values of $\alpha$ can be deduced…

High Energy Physics - Phenomenology · Physics 2017-03-28 Richard D. Ball , Emanuele R. Nocera , Juan Rojo

We show that the two-dimensional Fourier transform of the generalized parton distributions (GPDs) has two distinct interpretations: at zero skewness ($\eta=0$) it yields the familiar impact-parameter density, while at finite skewness ($\eta…

High Energy Physics - Phenomenology · Physics 2026-02-25 Florian Hechenberger , Kiminad A. Mamo , Ismail Zahed

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The contributions of twist-two and (renormalon-type) higher-twist operators of the Wilson operator product…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , G. Parente

An approach is proposed to calculate Generalized Parton Distributions (GPDs) in a Constituent Quark Model (CQM) scenario. These off-diagonal distributions are obtained from momentum space wave functions to be evaluated in a given non…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Scopetta , Vicente Vento

In this work, we present a new set of unpolarized ($ H $) and polarized ($\widetilde{H}$) generalized parton distributions (GPDs) that have been determined using a simultaneous $ \chi^2 $ analysis of the nucleon axial form factor (AFF) and…

High Energy Physics - Phenomenology · Physics 2020-11-18 Hadi Hashamipour , Muhammad Goharipour , Siamak S. Gousheh