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Related papers: Modeling the pion Generalized Parton Distribution

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We evaluate nucleon four-point functions in the framework of lattice QCD in order to extract the first Mellin moment of double parton distributions (DPDs) in the unpolarized proton. In this first study, we employ an nf = 2 + 1 ensemble with…

High Energy Physics - Lattice · Physics 2021-09-24 Gunnar S. Bali , Markus Diehl , Benjamin Gläßle , Andreas Schäfer , Christian Zimmermann

Existing pion+nucleus Drell-Yan and electron+pion scattering data are used to develop ensembles of model-independent representations of the pion generalised parton distribution (GPD). Therewith, one arrives at a data-driven prediction for…

High Energy Physics - Phenomenology · Physics 2023-04-12 Yin-Zhen Xu , Khépani Raya , Zhu-Fang Cui , Craig D. Roberts , J. Rodríguez-Quintero

Momentum and spatial distributions of quarks and gluons inside hadrons are typically encoded in the so-called generalized parton distributions (GPDs). GPDs are multi-dimensional quantities that are very challenging to extract, both…

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

Generalized Parton Distribution functions (GPDs) are off-diagonal light-cone matrix elements that encode the internal structure of hadrons in terms of quark and gluon degrees of freedom. In this work, we present the first nonperturbative…

High Energy Physics - Lattice · Physics 2025-11-25 Sebastian Grieninger , Jake Montgomery , Felix Ringer , Ismail Zahed

We define in the framework of light-cone collinear factorization method, the chiral-odd generalized parton distributions (GPDs) of a pseudoscalar hadron (such as the $\pi^0$) up to twist 6. For that, we introduce the relevant matrix…

High Energy Physics - Phenomenology · Physics 2014-07-25 B. Pire , L. Szymanowski , S. Wallon

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

Valence double parton distribution functions of the nucleon are evaluated in the framework of a simple model, where the conservation of the longitudinal momentum is taken into account. The leading-order DGLAP QCD evolution from the low…

High Energy Physics - Phenomenology · Physics 2015-06-17 Wojciech Broniowski , Enrique Ruiz Arriola

We study the leading-twist quasi parton distribution function (quasi-PDF) and quasi generalize parton distribution (quasi-GPD) of the pion meson by using a spectator model. We consider the case the quasi functions are defined via inserting…

High Energy Physics - Phenomenology · Physics 2020-07-01 Zhi-Lei Ma , Jia-Qing Zhu , Zhun Lu

Generalized distribution amplitudes (GDAs) are one type of three-dimensional structure functions, and they are related to the generalized distribution functions (GPDs) by the $s$-$t$ crossing of the Mandelstam variables. The GDA studies…

High Energy Physics - Phenomenology · Physics 2017-11-29 S. Kumano , Qin-Tao Song , O. V. Teryaev

We investigate the generalized parton distributions (GPDs) for u and d quarks in a proton in transverse and longitudinal position space using a recent phenomenological parametrization. We take nonzero skewness \zeta and consider the region…

High Energy Physics - Phenomenology · Physics 2011-02-02 R. Manohar , A. Mukherjee , D. Chakrabarti

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 a calculation of the twist-3 generalized parton distributions (GPDs) for gluons in the proton. Our analysis is performed within a light-front constituent model where the proton is treated as a two-body state of a spin-1 gluon and…

High Energy Physics - Phenomenology · Physics 2025-10-07 Parashmani Thakuria , Madhurjya Lalung , Jayanta Kumar Sarma

The quark generalised parton distributions of the pion are calculated from lightcone wavefunctions in transverse lattice gauge theory at large N_c. The pion effective size is found to decrease with increasing momentum transfer. An analytic…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Dalley

We report on a recent calculation of the generalized parton distributions (GPDs) of the photon when the momentum transfer in the transverse direction is non-zero. We use an overlap representation of the photon GPDs in terms of the photon…

High Energy Physics - Phenomenology · Physics 2013-12-11 Asmita Mukherjee

We describe the approach to lattice extraction of Generalized Parton Distributions (GPDs) that is based on the use of the double distributions (DDs) formalism within the pseudo-distribution framework. The advantage of using DDs is that GPDs…

High Energy Physics - Phenomenology · Physics 2024-01-12 A. V. Radyushkin

We establish a link between the dual parametrization of GPDs and a popular parametrization based on the double distribution Ansatz, which is in prevalent use in phenomenological applications. We compute several first forward-like functions…

High Energy Physics - Phenomenology · Physics 2011-04-12 Maxim V. Polyakov , Kirill M. Semenov-Tian-Shansky

An array of the kaon twist-two, three, four generalised transverse momentum dependent parton distributions (GTMDs) has been investigated within the framework of covariant and confining Dyson-Schwinger equations using contact interaction.…

High Energy Physics - Phenomenology · Physics 2024-09-09 Jin-Li Zhang

Generalized vector form factors of the pion, related to the moments of the generalized parton distribution functions, are evaluated in the Nambu--Jona-Lasinio model with the Pauli-Villars regularization. The lowest moments (the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Wojciech Broniowski

It is often taken for granted that Generalized Parton Distributions (GPDs) are defined in the "symmetric" frame, where the transferred momentum is symmetrically distributed between the incoming/outgoing hadrons. However, such frames pose…

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