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We perform a global QCD analysis of the pion electromagnetic form factor (FF) data from pion electroproduction and elastic pion scattering to extract the valence pion generalized parton distributions (GPDs) at zero skewness. The analysis…

High Energy Physics - Phenomenology · Physics 2025-12-30 The MMGPDs Collaboration , Muhammad Goharipour , M. H. Amiri , Fatemeh Irani , Hadi Hashamipour , K. Azizi

Off-shell effects in generalized parton distributions (GPDs) of the pion, appearing, e.g., in the Sullivan process, are considered. Due to the lack of crossing symmetry, the moments of GPDs involve also odd powers of the skewness…

High Energy Physics - Phenomenology · Physics 2023-03-31 Wojciech Broniowski , Vanamali Shastry , Enrique Ruiz Arriola

We show how the double parton distributions may be obtained consistently from the many-body light-cone wave functions. We illustrate the method on the example of the pion with two Fock components. The procedure, by construction, satisfies…

High Energy Physics - Phenomenology · Physics 2016-04-20 Wojciech Broniowski , Enrique Ruiz Arriola , Krzysztof Golec-Biernat

We propose a generic, phenomenological approach to modifying the dispersion of gravitational waves, independent of corrections to the generation mechanism. This model-independent approach encapsulates all previously proposed…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Rhondale Tso , Maximiliano Isi , Yanbei Chen , Leo Stein

I use QCD sum rule ideas to construct models for generalized parton distributions. To this end, the perturbative parts of QCD sum rules for the pion and nucleon electromagnetic form factors are interpreted in terms of GPDs and two models…

High Energy Physics - Phenomenology · Physics 2009-09-24 Anatoly Radyushkin

The large and chemically diverse GMTKN55 benchmark was used as a training set for parametrizing composite wave function thermochemistry protocols akin to G4(MP2)XK theory (Chan et al, JCTC 2019, 15, 4478-4484). Even after reparametrization,…

Chemical Physics · Physics 2020-10-16 Emmanouil Semidalas , Jan M. L. Martin

We study the generalized parton distributions (GPDs) of pion for non-zero skewness by considering the leading $| q \bar{q} \rangle$ Fock state component. Inspired from AdS/QCD light-front wave functions, we calculate the pion GPDs. By…

High Energy Physics - Phenomenology · Physics 2018-07-10 Navdeep Kaur , Narinder Kumar , Chandan Mondal , Harleen Dahiya

In this paper, we develop a Bernstein dual-Petrov-Galerkin method for the numerical simulation of a two-dimensional fractional diffusion equation. A spectral discretization is applied by introducing suitable combinations of dual Bernstein…

Numerical Analysis · Mathematics 2017-05-16 Mostafa Jani , Shahnam Javadi , Esmail Babolian , Dambaru Bhatta

Generalized parton distributions (GPDs) serve as indispensable tools for the exploration of proton structure. In this study, we offer a deep learning-assisted framework for the extraction of GPDs from experimental data and the results of…

High Energy Physics - Phenomenology · Physics 2026-05-14 Zaki Panjsheeri , Simonetta Liuti

Solving and optimising Partial Differential Equations (PDEs) in geometrically parameterised domains often requires iterative methods, leading to high computational and time complexities. One potential solution is to learn a direct mapping…

Numerical Analysis · Mathematics 2025-06-12 Guglielmo Padula , Gianluigi Rozza

We discuss the effect of QED corrections in the evolution of polarized parton distributions. We solve the corresponding evolution equations exactly to ${\cal O}(\alpha )$ and ${\cal O}(\alpha_s^2)$ in Mellin $N$-space, extending the…

High Energy Physics - Phenomenology · Physics 2024-10-30 Daniel de Florian , Lucas Palma Conte

An improved method is presented for the numerical evaluation of multi-loop integrals in dimensional regularization. The technique is based on Mellin-Barnes representations, which have been used earlier to develop algorithms for the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Ayres Freitas , Yi-Cheng Huang

The calculation of generalized parton distributions (GPDs) in lattice QCD was traditionally done by calculating matrix elements in the symmetric frame. Recent advancements have significantly reduced computational costs by calculating these…

This paper is concerned with developing accurate and efficient numerical methods for one-dimensional fully nonlinear second order elliptic and parabolic partial differential equations (PDEs). In the paper we present a general framework for…

Numerical Analysis · Mathematics 2012-12-04 Xiaobing Feng , Thomas Lewis

We have investigated the unpolarized valence quark generalized parton distribution functions (GPDs) and parton distribution functions (PDFs) for heavy spin-$0$, $B$- and $D$-mesons in the light-front quark model (LFQM). PDFs have been…

High Energy Physics - Phenomenology · Physics 2024-08-16 Satyajit Puhan , Harleen Dahiya

The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to…

High Energy Physics - Phenomenology · Physics 2022-11-09 Valerio Bertone

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

Recently the concept of quasi parton distributions (quasi-PDFs) for hadrons has been proposed. Quasi-PDFs are defined through spatial correlation functions and as such can be computed numerically using quantum chromodynamics on a…

High Energy Physics - Phenomenology · Physics 2018-12-26 Shohini Bhattacharya , Christopher Cocuzza , Andreas Metz

Exclusive photoproduction of heavy $J/\psi$ meson is performed within handbag factorization method. The General Parton Distributions (GPDs) for gluons which are an essential ingredient here, are constructed using double distribution (DD)…

High Energy Physics - Phenomenology · Physics 2024-08-13 S. V. Goloskokov , Ya-Ping Xie , Xurong Chen

Dimensional regularization is applied to the computation of the gravitational wave field generated by compact binaries at the third post-Newtonian (3PN) approximation. We generalize the wave generation formalism from isolated post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-12-19 Luc Blanchet , Thibault Damour , Gilles Esposito-Farese , Bala R. Iyer