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We present a determination of the parton distributions of the nucleon from a global set of hard scattering data using the NNPDF methodology at LO and NNLO in perturbative QCD, thereby generalizing to these orders the NNPDF2.1 NLO parton…

We derive relations between polarized transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Generalized transverse momentum dependent parton distributions (GTMDs), as mother funtions of transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs), encode the most general parton structure of…

High Energy Physics - Phenomenology · Physics 2020-12-01 Xuan Luo , Hao Sun

We review the current status of spin-averaged and spin-dependent parton distribution functions (PDFs) of the nucleon. After presenting the formalism used to fit PDFs in modern global data analyses, we discuss constraints placed on the PDFs…

High Energy Physics - Phenomenology · Physics 2015-06-16 P. Jimenez-Delgado , W. Melnitchouk , J. F. Owens

We review recent theoretical developments concerning the definition and the renormalization of equal-time correlators that can be computed on the lattice and related to Parton Distribution Functions (PDFs) through a factorization formula.…

High Energy Physics - Lattice · Physics 2020-07-15 Luigi Del Debbio , Tommaso Giani , Christopher J. Monahan

We revisit the evolution of generalised parton distributions (GPDs) in momentum space. We formulate the evolution kernels at one-loop in perturbative QCD (pQCD) in a form suitable for numerical implementation and that allows for an accurate…

High Energy Physics - Phenomenology · Physics 2022-10-12 Valerio Bertone , Hervé Dutrieux , Cédric Mezrag , José M. Morgado , Hervé Moutarde

We discuss the use of machine learning techniques in effectively nonparametric modelling of generalised parton distributions (GPDs) in view of their future extraction from experimental data. Current parameterisations of GPDs suffer from…

High Energy Physics - Phenomenology · Physics 2022-04-13 H. Dutrieux , O. Grocholski , H. Moutarde , P. Sznajder

The generalized parton distributions (GPDs) for the spin-3/2 $\Delta^+$ resonance are studied numerically by using a diquark spectator approach. Our results show that symmetric constraints from time reversal on GPDs are satisfied. The axial…

High Energy Physics - Phenomenology · Physics 2023-07-12 Dongyan Fu , Bao-Dong Sun , Yubing Dong

Based on Regge-inspired arguments and counting rules, we formulate empirical models for zero-skewness generalized parton distributions (GPDs) ${\widetilde H}^{(3)}$ and ${\widetilde E}^{(3)}$ in the iso-vector sector. If a hypothetical…

High Energy Physics - Phenomenology · Physics 2009-06-16 C. Bechler , D. Mueller

We sketch here an approach to the computation of generalised parton distributions (GPDs), based upon a rainbow-ladder (RL) truncation of QCD's Dyson-Schwinger equations and exemplified via the pion's valence dressed-quark GPD, $H_\pi^{\rm…

High Energy Physics - Phenomenology · Physics 2015-09-02 L. Chang , C. Mezrag , H. Moutarde , C. D. Roberts , J. Rodríguez-Quintero , F. Sabatié

We investigate the behavior of spin-dependent parton distribution functions (PDFs) at large parton momentum fractions x in the context of global QCD analysis. We explore the constraints from existing deep-inelastic scattering data, and from…

High Energy Physics - Phenomenology · Physics 2015-06-19 P. Jimenez-Delgado , H. Avakian , W. Melnitchouk

Calculation of moments of generalized parton distributions in lattice QCD requires more powerful techniques than those previously used to calculate moments of structure functions. Hence, we present a novel approach that exploits the full…

High Energy Physics - Lattice · Physics 2009-09-29 Philipp Hagler , John Negele , Dru Renner , Wolfram Schroers , Thomas Lippert , Klaus Schilling

We present an exploration of the unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}(x, \xi, t)$ and $E^{u-d}(x, \xi, t)$ in the pseudo-distribution formalism using distillation. Taking advantage of the large…

We compute the pion Generalized Parton Distribution (GPD) in a valence dressed quarks approach. We model the Mellin moments of the GPD using Ans\"atze for Green functions inspired by the numerical solutions of the Dyson-Schwinger Equations…

High Energy Physics - Phenomenology · Physics 2016-03-23 C. Mezrag

Quark and gluon helicity flip generalized parton distributions (GPDs) encode the information on the nucleon structure in the transversity sector. In order to build a theoretically consistent phenomenological parametrization for these…

High Energy Physics - Phenomenology · Physics 2014-07-24 B. Pire , K. Semenov-Tian-Shansky , L. Szymanowski , S. Wallon

The generalized parton distributions (GPDs) offer a window on three-dimensional imaging of the nucleon, providing understanding of how the fundamental properties of the nucleon, such as its mass and spin, arise from the underlying quark and…

High Energy Physics - Lattice · Physics 2021-12-15 Huey-Wen Lin

We propose a model for the unpolarized generalized parton distribution function (GPD) based on impact parameter representation and discuss its x and t dependencies at large and small values of these variables.

High Energy Physics - Phenomenology · Physics 2009-02-11 S. M. Troshin , N. E. Tyurin

We study isovector unpolarized and helicity parton distribution functions (PDF) of the proton within the framework of Large Momentum Effective Theory. We use a gauge ensemble, generated by the MILC Collaboration, with a superfine lattice…

High Energy Physics - Lattice · Physics 2020-10-19 Zhouyou Fan , Xiang Gao , Ruizi Li , Huey-Wen Lin , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Sergey Syritsyn , Yi-Bo Yang , Rui Zhang

Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms $(\alpha_s\ln^2(-t))^n$ to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum…

High Energy Physics - Phenomenology · Physics 2025-11-12 Yoshitaka Hatta , Jakob Schoenleber

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