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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…

We study the consistency of parton distribution functions in the presence of target mass corrections (TMCs) at low Q^2. We review the standard operator product expansion derivation of TMCs in both x and moment space, and present the results…

High Energy Physics - Phenomenology · Physics 2015-06-11 F. M. Steffens , M. D. Brown , W. Melnitchouk , S. Sanches

We derive the overlap representation of chiral-odd generalized parton distributions using the Fock-state decomposition in the transverse-spin basis. This formalism is applied to the case of light-cone wave functions in a constituent quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Pasquini , M. Pincetti , S. Boffi

Generalized parton distributions (GPDs) are studied at the hadronic (nonperturbative) scale within different assumptions based on a relativistic constituent quark model. In particular, by means of a meson-cloud model we investigate the role…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Boffi , B. Pasquini , M. Traini

The calculations of the double parton scattering cross sections are discussed. It is shown that the commonly used factorised formula is valid only in the limit of low cross sections. The applicability of this approximation is studied with a…

High Energy Physics - Phenomenology · Physics 2017-03-14 Rafał Staszewski

We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon, which allows to describe simultaneously, unpolarized and polarized Deep Inelastic Scattering data. Some predictions from a…

High Energy Physics - Phenomenology · Physics 2015-05-27 Jacques Soffer

Exclusive photoproduction of a $\gamma\,\pi^\pm$ pair in the kinematics where the pair has a large invariant mass and the final nucleon has a small transverse momentum is described in the collinear factorization framework. The scattering…

High Energy Physics - Phenomenology · Physics 2018-12-26 G. Duplančić , K. Passek-Kumerički , B. Pire , L. Szymanowski , S. Wallon

Multivariate generalized Pareto distributions arise as the limit distributions of exceedances over multivariate thresholds of random vectors in the domain of attraction of a max-stable distribution. These distributions can be parametrized…

Statistics Theory · Mathematics 2017-05-24 Holger Rootzén , Johan Segers , Jennifer L. Wadsworth

Generalized parton distributions provide a unified parameterization of hadron structure and allow one to combine information from many different observables. Lattice QCD calculations already provide important input to determine these…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Diehl , A. Manashov , A. Schafer

We argue that due to parity constraints, the helicity combination of the purely momentum space counterparts of the Wigner distributions -- the generalized transverse momentum distributions -- that describes the configuration of an…

High Energy Physics - Phenomenology · Physics 2013-09-27 Simonetta Liuti , Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Abha Rajan

We construct a spectral representation for the baron to meson transition distribution amplitudes (TDAs), i.e. matrix elements involving three quark correlators which arise in the description of baryon to meson transitions within the…

High Energy Physics - Phenomenology · Physics 2010-12-23 Bernard Pire , Kirill Semenov-Tian-Shansky , Lech Szymanowski

We investigate parton distributions in the virtual photon target, both polarized and unpolarized, up to the next-leading order (NLO) in QCD. Parton distributions can be predicted completely up to NLO, but they are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ken Sasaki , Tsuneo Uematsu

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 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

An approach is described to calculate Generalized Parton Distributions (GPDs) in Constituent Quark Models (CQM). The GPDs are obtained from wave functions to be evaluated in a given CQM. The general relations linking the twist-two GPDs to…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Scopetta , V. Vento

Phenomenological representations of generalized parton distributions (GPDs) implementing the non-trivial field theoretical requirements are employed in the present day strategies for extracting of hadron structure information encoded in…

High Energy Physics - Phenomenology · Physics 2016-11-23 Dieter Müller , Kirill Semenov-Tian-Shansky

For an unpolarized target, the generalized parton distribution $H_q(x,0,t)$ is related to the distribution of partons in impact parameter space. The transverse distortion of this distribution for a transversely polarized target is described…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthias Burkardt

The paper is devoted to interrelation between the zeta distribution and the Radon transform on the space of $n \times m$ real matrices. We present a self-contained proof of the Fourier transform formula for this distribution. Our method…

Functional Analysis · Mathematics 2016-09-07 Boris Rubin

We revisit the definition of the leading-twist chiral-even generalized parton distributions (GPDs) for $N \to \Delta$ baryon transitions. We identify and address deficiencies in previous definitions of the transition GPDs inspired by the…

High Energy Physics - Phenomenology · Physics 2025-11-20 June-Young Kim , Kirill M. Semenov-Tian-Shansky , Ho-Yeon Won , Sangyeong Son , Christian Weiss

Fourier transform of the generalized parton distributions (GPDs) at zero skewness with respect to the transverse momentum transfer gives the distribution of partons in the impact parameter space. We investigate the GPDs as well as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Dahiya , A. Mukherjee , S. Ray