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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

Following a ground-breaking proposal by Ji~\cite{PhysRevLett.110.262002}, numerical simulations of Quantum Chromo Dynamics (QCD) on a Euclidean lattice have provided new, valuable information on the structure of hadrons. In this talk, we…

High Energy Physics - Lattice · Physics 2022-11-29 Luigi Del Debbio

We report the first global extraction of generalized parton distributions (GPDs), GUMP1.0, by combining deeply virtual Compton scattering and $\rho$-meson production data from Jefferson Lab and Hadron-Electron Ring Accelerator with global…

High Energy Physics - Phenomenology · Physics 2025-09-11 Yuxun Guo , Fatma P. Aslan , Xiangdong Ji , M. Gabriel Santiago

Off-forward structure functions of the pion are investigated in twist-two and twist-three approximation. A simple model is used for the pion, which allows to introduce finite size effects, while preserving gauge invariance. Results for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Bissey , J. R. Cudell , J. Cugnon , J. P. Lansberg , P. Stassart

We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses…

High Energy Physics - Lattice · Physics 2024-07-29 Ethan Baker , Dennis Bollweg , Peter Boyle , Ian Cloët , Xiang Gao , Swagato Mukherjee , Peter Petreczky , Rui Zhang , Yong Zhao

Based on a global fit to experimental measurements of the pion electromagnetic form factor and parton distribution functions (PDFs), we report a data-driven determination of the unpolarized quark generalized parton distributions (GPDs) for…

High Energy Physics - Phenomenology · Physics 2026-04-14 Satyajit Puhan , Shubham Sharma , Narinder Kumar , Harleen Dahiya

Generalized Parton Distributions offer a new way to access the quark and gluon nucleon structure. We review recent progress in this domain, emphasizing the need to supplement the experimental study of DVCS by its crossed version, timelike…

High Energy Physics - Phenomenology · Physics 2011-09-27 B. Pire , K. Semenov-Tian-Shansky , L. Szymanowski , J. Wagner

We present a calculation of the generalized parton distributions (GPDs) of the photon when the helicity of the initial photon is different from the final photon. We calculate the GPDs using overlaps of photon light-front wave functions…

High Energy Physics - Phenomenology · Physics 2015-06-12 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

We propose an efficacious approach to derive the generalized parton distributions for the pion and proton, based upon prior knowledge of their respective parton distribution functions (PDFs). Our method leverages on integral representations…

High Energy Physics - Phenomenology · Physics 2024-06-17 Xiaobin Wang , Zanbin Xing , Minghui Ding , Khépani Raya , Lei Chang

In a scenario where the constituent quarks are composite systems, Generalized Parton Distributions (GPDs) are built from wave functions to be evaluated in a Constituent Quark Model (CQM), convoluted with the GPDs of the constituent quarks…

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

We present a simultaneous extraction of the moments of $F_2$ and $F_L$ structure functions of the proton for a range of photon virtuality, $Q^2$. This is achieved by computing the forward Compton amplitude on the lattice utilizing the…

We summarize recent developments in understanding the concept of generalized parton distributions (GPDs), its relation to nucleon structure, and its application to high-Q2 electroproduction processes. Following a brief review of QCD…

High Energy Physics - Phenomenology · Physics 2009-08-24 C. Weiss

We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings $a\approx\{0.06,0.09,0.12\}$ fm…

High Energy Physics - Lattice · Physics 2022-10-05 Jun Hua , Min-Huan Chu , Jin-Chen He , Xiangdong Ji , Andreas Schäfer , Yushan Su , Peng Sun , Wei Wang , Ji Xu , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang , Qi-An Zhang

The isoscalar twist-two generalized parton distributions (GPDs) of the pion and the kaon are calculated in a Poincare covariant Bethe-Salpeter constituent quark model. Results are presented for several values of the parameters xi and t. The…

High Energy Physics - Phenomenology · Physics 2008-11-19 A. Van Dyck , T. Van Cauteren , J. Ryckebusch , B. C. Metsch

In this work, we extend the Impulse Approximation for the generalized parton distributions (GPDs) of a spin-0 composite hadron with spin-$\tfrac{1}{2}$ constituents to manifestly incorporate the symmetries of the target wave function. The…

High Energy Physics - Phenomenology · Physics 2026-03-03 Antonio Garcia Vallejo , Matthew D. Sievert

Hadron tomography can be investigated by three-dimensional structure functions such as generalized parton distributions (GPDs), transverse-momentum-dependent parton distributions, and generalized distribution amplitudes (GDAs). Here, we…

High Energy Physics - Phenomenology · Physics 2019-01-14 S. Kumano , Qin-Tao Song , O. V. Teryaev

We present a lattice measurement of the first two moments of the spin-dependent GPD H-tilde(x,xi,t). From these we obtain the axial coupling constant and the second moment of the spin-dependent forward parton distribution. The measurements…

The off-shell characteristics of pion generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs) are examined within the framework of the Nambu-Jona-Lasinio model. In our previous papers, we…

High Energy Physics - Phenomenology · Physics 2025-07-15 Jin-Li Zhang

We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of $a=0.06$ fm and 0.04 fm. We reconstruct the $x$-dependent…

Spin and transverse momentum dependent parton distributions - Generalized Parton Distributions (GPDs) - are at the interface between the QCD structure of the hadrons and observable quantities. The GPDs are linear superpositions within…

High Energy Physics - Phenomenology · Physics 2015-10-27 Gary R. Goldstein , Simonetta Liuti
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