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Generalized parton distributions (GPDs) provide a link between form factors, parton distributions and other observables. I discuss the connection between GPDs and parton distributions as a function of the impact parameter. Since this…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Burkardt

We study the factorization of quasi generalized quark distributions with twist-2 generalized parton distributions. We use an approach which is different than that used in literature. Using the approach we derive the factorization relations…

High Energy Physics - Phenomenology · Physics 2022-09-07 J. P. Ma , Z. Y. Pang , G. P. Zhang

Deep inelastic scattering data on $F_2$ structure function obtained in the fixed-target experiments were analysed in the valence quark approximation with a next-to-next-to-leading-order accuracy. Parton distribution functions are…

High Energy Physics - Phenomenology · Physics 2017-12-19 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

Generalized parton distributions (GPDs) characterize the 3-dimensional structure of hadrons, combining information about their internal quark and gluon longitudinal momentum distributions and transverse position within the hadron. The…

High Energy Physics - Phenomenology · Physics 2024-12-25 A. Freese , D. Adamiak , I. Cloët , W. Melnitchouk , J. -W. Qiu , N. Sato , M. Zaccheddu

In this paper, we derive two second- order of differential equation for the gluon and singlet distribution functions by using the Laplace transform method. We decoupled the solutions of the singlet and gluon distributions into the initial…

High Energy Physics - Phenomenology · Physics 2015-10-23 G. R. Boroun , S. Zarrin , F. Teimoury

In the present article, two analytical solutions based on the Laplace transforms method for the linear and non-linear gluon distribution functions have been presented at low values of $x$. These linear and non-linear methods are presented…

High Energy Physics - Phenomenology · Physics 2022-04-19 G. R. Boroun

We propose a revised definition of quasi-distributions within the framework of large-momentum effective theory (LaMET) that improves convergence towards the large-momentum limit. Since the definition of quasi-distributions is not unique,…

High Energy Physics - Phenomenology · Physics 2019-05-13 Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Andreas Schäfer , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

The most striking feature of quark distribution functions transformed to the longitudinal distance representation is the recognizable separation of small and large longitudinal distances. While the former are responsible for the average…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Mankiewicz , T. Weigl

Parton distributions in the virtual photon target are investigated in perturbative QCD up to the next-to-next-to-leading order (NNLO). In the case $\Lambda^2 \ll P^2 \ll Q^2$, where $-Q^2$ ($-P^2$) is the mass squared of the probe (target)…

High Energy Physics - Phenomenology · Physics 2009-08-05 Takahiro Ueda , Ken Sasaki , Tsuneo Uematsu

We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in…

High Energy Physics - Phenomenology · Physics 2019-05-30 W. Cosyn , A. Freese , B. Pire

Analytical solutions for the non-singlet polarized parton distribution are obtained by solving the DGLAP equation by two analytical methods: Lagranges Method and Method of Characteristics.The relative merits of the two methods are discussed…

High Energy Physics - Phenomenology · Physics 2014-04-04 Neelakshi N. K. Borah , Dilip K. Choudhury , P. K. Sahariah

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 give the results of a simple model for the diagonal and off-diagonal valence quark distributions of a pion. We show that structure can be implemented in a gauge-invariant manner. This explicit model questions the validityof the momentum…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Cudell , F. Bissey , J. Cugnon , M. Jaminon , J. P. Lansberg , P. Stassart

We perform a global parton analysis of deep inelastic and related hard-scattering data, including ${\cal O}(\alpha_{\rm QED})$ corrections to the parton evolution. Although the quality of the fit is essentially unchanged, there are two…

High Energy Physics - Phenomenology · Physics 2010-03-25 A. D. Martin , R. G. Roberts , W. J. Stirling , R. S. Thorne

We present new NLO sets of parton distributions in real photons based on a scheme invariant definition of the non-perturbative input. We compare the theoretical predictions with LEP data and a best fit allows us to constrain the parameters…

High Energy Physics - Phenomenology · Physics 2009-01-07 P. Aurenche , M. Fontannaz , J. Ph. Guillet

An approach is described to calculate Generalized Parton Distributions (GPDs) in Constituent Quark Models (CQM). The GPDs are obtained from wave functions to be evaluated in a given CQM. The general relations linking the twist-two GPDs to…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Scopetta , V. Vento

We show that simple parametrisations at small x of the proton structure function work so well in limited regions of the $(x,Q^2)$ plane because they are approximately "self-consistent" solutions of the QCD evolution equation. For a class of…

High Energy Physics - Phenomenology · Physics 2022-03-02 L. L. Jenkovszky , A. Lengyel , F. Paccanoni

We compute the generalized parton distributions (GPDs) of valence quarks, sea quarks, and gluons in the proton using light-front wave functions obtained within the basis light-front quantization (BLFQ) framework, providing a realistic…

High Energy Physics - Phenomenology · Physics 2026-04-21 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

The nucleon helicity-independent generalized parton distributions (GPDs) of quarks are calculated in the zero skewness case, in the framework of the AdS/QCD model. The present approach is based on a matching procedure of sum rules relating…

High Energy Physics - Phenomenology · Physics 2015-03-17 Alfredo Vega , Ivan Schmidt , Thomas Gutsche , Valery E. Lyubovitskij

We present an algorithm for massive parton evolution which is based on the differentially accurate simulation of soft-gluon radiation by means of a non-trivial azimuthal angle dependence of the splitting functions. The kinematics mapping is…

High Energy Physics - Phenomenology · Physics 2024-10-04 Benoit Assi , Stefan Höche
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