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Related papers: Generalized Wandzura Wilczek Relations and Orbital…

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We derive new Lorentz Invariance and Equation of Motion Relations between twist-three Generalized Parton Distributions (GPDs) and moments in the parton transverse momentum, $k_T$, of twist-two Generalized Transverse Momentum-Dependent…

High Energy Physics - Phenomenology · Physics 2018-10-31 Abha Rajan , Michael Engelhardt , Simonetta Liuti

Using the equations of motion of QCD and Lorentz invariance relations, we show a new, more direct way of obtaining the decomposition of the proton's quark transverse angular momentum into its spin and orbital components. The new…

High Energy Physics - Phenomenology · Physics 2024-10-30 Osamah Alkasassbeh , Abha Rajan , Michael Engelhardt , Simonetta Liuti

We study the orbital angular momentum contribution to the spin structure of the proton. It is well known that the quark and gluon spin contributions do not add up to the proton spin. We motivate the connection between the Generalized…

High Energy Physics - Phenomenology · Physics 2016-02-02 Abha Rajan , Simonetta Liuti

We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the…

High Energy Physics - Phenomenology · Physics 2024-08-21 Yoshitaka Hatta , Jakob Schoenleber

We show that quark orbital angular momentum is directly related to off-forward correlation functions which include intrinsic transverse momentum corresponding to a derivative with respect to the transverse coordinates. Its possible…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ph. Hagler , A. Mukherjee , A. Schafer

Within the Basis Light-Front Quantization framework, we systematically investigate the subleading twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the proton beyond the Wandzura-Wilczek (WW)…

High Energy Physics - Phenomenology · Physics 2025-01-22 Zhimin Zhu , Siqi Xu , Jiatong Wu , Hongyao Yu , Zhi Hu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary , BLFQ Collaboration

We extend the study of quark spin-orbit correlations in the nucleon to the case of transverse polarization. At the leading-twist level, this completes the spin structure of the quark kinetic energy-momentum tensor. In particular, we revisit…

High Energy Physics - Phenomenology · Physics 2017-11-22 Amit Bhoonah , Cédric Lorcé

We introduce the chiral-even and chiral-odd quark distributions as forward matrix elements of related bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bodo Geyer , Markus Lazar

The quark orbital angular momentum (OAM) has been recognized as an important piece of the proton spin puzzle. A lot of effort has been invested in trying to extract it quantitatively from the generalized parton distributions (GPDs) and the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Cedric Lorce , Barbara Pasquini

Certain exact relations among transverse momentum dependent parton distribution functions due to QCD equations of motion turn into approximate ones upon the neglect of pure twist-3 terms. On the basis of available data from HERMES we test…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Avakian , A. V. Efremov , K. Goeke , A. Metz , P. Schweitzer , T. Teckentrup

Within the Basis Light-Front Quantization framework, we systematically investigate the subleading-twist (twist-3) generalized parton distributions (GPDs) of the proton's valence quarks beyond the Wandzura--Wilczek (WW) approximation. The…

High Energy Physics - Phenomenology · Physics 2026-01-13 Ziqi Zhang , Chandan Mondal , Siqi Xu , Xingbo Zhao , James P. Vary

We analyze the breaking of the Wandzura-Wilczek relation for the g_2 structure function, emphasizing its connection with transverse momentum dependent parton distribution functions. We find that the relation is broken by two distinct…

High Energy Physics - Phenomenology · Physics 2014-11-20 Alberto Accardi , Alessandro Bacchetta , W. Melnitchouk , Marc Schlegel

We investigate the relations between transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs) in a light-front quark-diquark model motivated by soft wall AdS/QCD. Many relations are found to have…

High Energy Physics - Phenomenology · Physics 2021-11-10 Bheemsehan Gurjar , Dipankar Chakrabarti , Poonam Choudhary , Asmita Mukherjee , Pulak Talukdar

While the total orbital angular momentum (OAM) of a definite quark flavor in a longitudinally-polarized nucleon can be obtained through a sum rule involving twist-two generalized parton distribution (GPDs), its distribution as a function of…

High Energy Physics - Phenomenology · Physics 2013-08-09 Xiangdong Ji , Xiaonu Xiong , Feng Yuan

Generalized transverse momentum-dependent parton distributions (GTMDs) provide a comprehensive framework for imaging the internal structure of the proton. In particular, by encoding the simultaneous distribution of quark transverse…

High Energy Physics - Lattice · Physics 2021-12-28 M. Engelhardt , J. R. Green , N. Hasan , T. Izubuchi , C. Kallidonis , S. Krieg , S. Liuti , S. Meinel , J. Negele , A. Pochinsky , A. Rajan , G. Silvi , S. Syritsyn

Wigner distributions contain combined position and momentum space information of the quark distributions and are related to both generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs). We…

High Energy Physics - Phenomenology · Physics 2015-06-23 Asmita Mukherjee , Sreeraj Nair , Vikash Kumar Ojha

We present the numerical solution of the one-loop QCD evolution equation for the genuine twist-three part of the orbital angular momentum (OAM) distributions of quarks and gluons inside a longitudinally polarized nucleon. This is based on…

High Energy Physics - Phenomenology · Physics 2019-09-30 Yoshitaka Hatta , Xiaojun Yao

These proceedings contain the 'physical' derivation of the Wandzura-Wilczek relations for the spin-dependent structure function g2 (amounting to keeping the intrinsic transverse momentum of quarks, and neglecting the physical transverse…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

We discuss the general formalism for the calculation in light-front quark models of the fully unintegrated, off-diagonal quark-quark correlator of the nucleon, parametrized in terms of generalized transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2013-04-05 B. Pasquini , C. Lorce'

Generalized transverse-momentum dependent parton distributions (GTMDs) encode the most general parton structure of hadrons. Here we focus on two twist-2 GTMDs which are denoted by $F_{1,4}$ and $G_{1,1}$ in parts of the literature. As…

High Energy Physics - Phenomenology · Physics 2014-11-04 K. Kanazawa , C. Lorcé , A. Metz , B. Pasquini , M. Schlegel
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