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Related papers: Truncated Mellin moments: Useful relations and imp…

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We extract polarized parton distribution functions (PPDFs), referred to as "KTA17," together with the highly correlated strong coupling $\alpha_s$ from recent and up-to-date $g_1$ and $g_2$ polarized structure functions world data at…

High Energy Physics - Phenomenology · Physics 2017-04-07 Hamzeh Khanpour , Sara Taheri Monfared , S. Atashbar Tehrani

The solution of QCD equations for generating functions of multiplicity distributions reveals new peculiar features of cumulant moments oscillating as functions of their rank. This prediction is supported by experimental data on $e^{+}e^{-},…

High Energy Physics - Phenomenology · Physics 2009-09-25 I. M. Dremin

In this paper, we focus on multivariate doubly truncated first two moments of generalized skew-elliptical (GSE) distributions and derive explicit expressions for them. It includes many useful distributions, for examples, generalized…

Statistics Theory · Mathematics 2022-03-03 Baishuai Zuo , Chuancun Yin

We examine convergence properties of reconstructing the generalized parton distributions (GPDs) through the universal moment parameterization (GUMP). We provide a heuristic explanation for the connection between the formal…

High Energy Physics - Phenomenology · Physics 2024-12-05 Hao-Cheng Zhang , Xiangdong Ji

The perturbative QCD predictions for the small $x$ behaviour of the nucleon structure functions $F_{2,L}(x,Q^2)$ and $g_1(x,Q^2)$ are summarized. The importance of the double logarithmic terms for the small $x$ behaviour of the spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

We describe a high statistics quenched QCD calculation of the moments of the polarized deep-inelastic structure functions g_1 and g_2 of the proton and neutron.

High Energy Physics - Lattice · Physics 2007-05-23 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

We calculate the spin dependent structure functions g_{1}(x) and g_{2}(x) of the proton and neutron. Our calculation uses the meson cloud model of nucleon structure, which has previously given a good description of the HERMES data on…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Bissey , F. G. Cao , A. I. Signal

The spin structure of the system of quasifree fermions having total angular momentum $J=1/2$ is studied in a consistently covariant approach. Within this model the relations between the spin functions are obtained. Their particular cases…

High Energy Physics - Phenomenology · Physics 2009-11-07 Petr Zavada

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

We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function $g_{2}(x, Q^{2})$. We derive the anomalous dimension for the non-singlet part by calculating the off-shell Green's…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Yoshiaki Yasui , Kazuhiro Tanaka , Tsuneo Uematsu

Previously, we demonstrated that the dynamics of kicked spin chains possess a remarkable duality property. The trace of the unitary evolution operator for $N$ spins at time $T$ is related to one of a non-unitary evolution operator for $T$…

Chaotic Dynamics · Physics 2018-02-07 M. Akila , D. Waltner , B. Gutkin , T. Guhr

We performed the measurement of the inclusive electron scattering off the proton in the resonance region (W<2.5 GeV) at momentum transfer Q2 below 4.5 (GeV/c)^2 with the CLAS detector. The large acceptance of CLAS provided an access to a…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Osipenko , S. Simula , G. Ricco , G. Fedotov , E. Golovach , B. Ishkhanov , E. Isupov , V. Mokeev

In a spin-1 hadron, tensor-polarized parton distribution functions (PDFs) exist. The twist-2 function is $f_{1LL}$ and a twist-3 one is $f_{LT}$. Because an experiment is under preparation at the Thomas Jefferson National Accelerator…

High Energy Physics - Phenomenology · Physics 2026-05-04 S. Kumano , Kenshi Kuroki

We compute the tree-level and one-loop matching relations for leading power gluon transverse momentum dependent parton distribution functions. At tree-level, working within the spinor formalism, we focus on twist-2 and twist-3…

High Energy Physics - Phenomenology · Physics 2026-05-11 Alessio Carmelo Alvaro , Nanako Kato , Barbara Pasquini , Cristian Pisano , Simone Rodini

We present a detailed analysis of resonance contributions in the context of higher twist effects in the moments of the proton spin structure function g_1. For each of these moments, it is found that there exists a characteristic Q^2 region…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Edelmann , G. Piller , N. Kaiser , W. Weise

Using lattice QCD, we calculate the twist-2 contribution $a_2$ to the third Mellin moment of the spin structure functions $g_1$ and $g_2$ in the nucleon. In addition we evaluate the twist-3 contribution $d_2$. Our computations make use of…

High Energy Physics - Lattice · Physics 2022-03-23 S. Bürger , T. Wurm , M. Löffler , M. Göckeler , G. Bali , S. Collins , A. Schäfer , A. Sternbeck

In this note we reexamine the possibility of extracting parton distribution functions from lattice simulations. We discuss the case of quasi-parton distribution functions, the possibility of using the reduced Ioffe-time distributions and…

High Energy Physics - Lattice · Physics 2018-10-03 Giancarlo Rossi , Massimo Testa

The solution of QCD equations for generating functions of {\it parton} multiplicity distributions reveals new peculiar features of cumulant moments oscillating as functions of their rank. It happens that experimental data on {\it hadron}…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. M. Dremin

Semi-inclusive hadron-production processes are becoming important in high-energy hadron reactions. They are used for investigating properties of quark-hadron matters in heavy-ion collisions, for finding the origin of nucleon spin in…

High Energy Physics - Phenomenology · Physics 2015-05-28 M. Hirai , S. Kumano

This talk presents recent calculations in full QCD of the lowest three moments of generalized parton distributions and the insight they provide into the behavior of nucleon electromagnetic form factors, the origin of the nucleon spin, and…

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