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In this work, we report a lattice calculation of $x$-dependent valence pion generalized parton distributions (GPDs) at zero skewness with multiple values of the momentum transfer $-t$. The calculations are based on an $N_f=2+1$ gauge…

High Energy Physics - Lattice · Physics 2025-02-14 Heng-Tong Ding , Xiang Gao , Swagato Mukherjee , Peter Petreczky , Qi Shi , Sergey Syritsyn , Yong Zhao

We present here a new method based on the Radon transform to model Generalised Parton Distributions (GPDs). It allows to fulfil all theoretical constraints applying on GPDs, especially polynomiality and positivity at the same time. More…

High Energy Physics - Phenomenology · Physics 2019-12-20 Cédric Mezrag , Nabil Chouika , Hervé Moutarde , Jose Rodriguez-Quintero

Results from a recent analysis of the zero-skewness generalized parton distributions (GPDs) for valence quarks are reviewed. 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

We determine the properties of generalised parton distributions (GPDs) from a lattice QCD calculation of the off-forward Compton amplitude (OFCA). By extending the Feynman-Hellmann relation to second-order matrix elements at off-forward…

The Fourier transformed chiral even generalized parton distributions $(GPDs)$ for purely transverse momentum transfer $(\Delta^+=0)$ characterize an individual parton distribution of a hyperon in a perpendicular plane at some distance from…

High Energy Physics - Phenomenology · Physics 2025-04-02 Navpreet Kaur , Harleen Dahiya

The Generalized Parton Distributions (GPDs) of the nucleon are analyzed within the relativistic constituent quark model formulated on the light-front. It is shown that the matrix elements of the plus component of the one-body vector current…

High Energy Physics - Phenomenology · Physics 2017-08-23 Silvano Simula

Exclusive $\pi^0$ electroproduction from nucleons at large $Q^2$ can be described by Generalized Parton Distributions (GPDs), particularly the chiral odd subset related to transversity. These GPDs can be accessed experimentally from various…

High Energy Physics - Phenomenology · Physics 2009-08-18 Simonetta Liuti , Gary R. Goldstein

Using heavy baryon chiral perturbation theory we study the leading chiral corrections to the complete set of nucleon generalized parton distributions (GPDs). We compute the leading quark mass and momentum transfer dependence of the moments…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shung-ichi Ando , Jiunn-Wei Chen , Chung-Wen Kao

We employ models from effective two-body light-cone wave functions (LCWFs) to provide a link between generalized parton distributions (GPDs) and unintegrated parton distribution functions (uPDFs). Since we utilize the underlying Lorentz…

High Energy Physics - Phenomenology · Physics 2011-08-22 Dae Sung Hwang , Dieter Mueller

While twist-2 GPDs allow for a determination of the distribution of partons on the transverse plane, twist-3 GPDs contain quark-gluon correlations that provide information about the average transverse color Lorentz force acting on quarks.…

High Energy Physics - Phenomenology · Physics 2020-01-17 Fatma P. Aslan , Matthias Burkardt , Marc Schlegel

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

High Energy Physics - Phenomenology · Physics 2016-11-23 A. V. Radyushkin

We present lattice QCD calculations of the odd Mellin moments of pion valence-quark generalized parton distribution (GPD) up to fifth order, $\langle x^4\rangle$, and for the skewness range $[-0.33, 0]$ using operator product expansion of…

High Energy Physics - Lattice · Physics 2026-01-22 Xiang Gao , Swagato Mukherjee , Qi Shi , Fei Yao , Yong Zhao

We demonstrate that the transversity chiral odd generalized parton distributions can be accessed through the azimuthal dependence of the nu N -> l D N' or nubar N -> l D N' differential cross sections, in the framework of the colinear QCD…

High Energy Physics - Phenomenology · Physics 2015-10-08 B. Pire , L. Szymanowski

We show quark transversity generalized parton pistributions (GPDs) of $\Delta^+$ isobar by using the diquark spectator model for the first time. First, this model is tested by electric charge, magnetic-dipole and axial charge form factors,…

High Energy Physics - Phenomenology · Physics 2025-11-04 Dongyan Fu , Yubing Dong , S. Kumano

Generation of T-odd single spin asymmetries (SSA) by the various ingredients of QCD factorization is discussed. The possible use of SSA in studies of Generalized Parton Distribution (GPD) at HERA with the polarized lepton beam is suggested.…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. V. Teryaev

We study the twist-3 corrections to the neutrino induced deeply virtual meson production due to the chiral odd transversity Generalized Parton Distribution (GPD). We found that in contrast to pion electroproduction, in neutrino-induced…

High Energy Physics - Phenomenology · Physics 2015-06-18 B. Z. Kopeliovich , Ivan Schmidt , M. Siddikov

Applying arguments based on the operator product expansion for a three-point correlator and relying on quark-hadron duality, we derive an expression for the skewed (non-forward) parton distribution in the pion in the case of a…

High Energy Physics - Phenomenology · Physics 2009-08-25 Alexander P. Bakulev , Rusko Ruskov , Klaus Goeke , N. G. Stefanis

The transversity Generalized Parton Distributions (tGPDs) and related transversity form factors of the pion are evaluated in chiral quark models, both local (Nambu--Jona-Lasinio) and nonlocal, involving a momentum-dependent quark mass. The…

High Energy Physics - Phenomenology · Physics 2015-05-30 Wojciech Broniowski , Alexander E. Dorokhov , Enrique Ruiz Arriola

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

We show that Mellin moments of generalized parton distributions, given as even polynomials in the skewness parameter, are obtained from the Taylor expansion of light front wave functions. Furthermore, we derive non-standard versions of the…

High Energy Physics - Phenomenology · Physics 2017-11-29 Dieter Müller
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