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Related papers: Lorentz invariance relations among parton distribu…

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Lorentz invariance relations connecting twist-3 parton distributions with transverse momentum dependent twist-2 distributions have been proposed previously. These relations can be extracted from a covariant decomposition of the quark-quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Schlegel , A. Metz

The violation of the so-called Lorentz invariance relations between parton distribution functions is considered in a model independent way. It is shown that these relations are not violated in a generalized Wandzura-Wilczek approximation,…

High Energy Physics - Phenomenology · Physics 2010-04-28 A. Metz , P. Schweitzer , T. Teckentrup

A complete list of the so-called Lorentz invariance relations between parton distribution functions is given and some of their consequences are discussed, such as the Burkhardt-Cottingham sum rule. The violation of these relations is…

High Energy Physics - Phenomenology · Physics 2010-02-10 T. Teckentrup , A. Metz , P. Schweitzer

We calculate twist-3 parton ditribution functions (PDFs) using cut and uncut diagrams. Uncut diagrams lead to a Dirac delta function term. No such term appears when cut diagrams are used. We show that a $\delta(x)$ is necessary to satisfy…

High Energy Physics - Phenomenology · Physics 2020-01-14 Fatma P. Aslan , Matthias Burkardt

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

The probabilistic model of parton distributions, previously developed by one of the authors, is generalized to include the transversity distribution. When interference effects are attributed to quark level only, the intrinsic quark motion…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Efremov , O. V. Teryaev , Petr Zavada

In order to study twist-3 and transverse momentum dependent parton distributions, we use light-front time-ordered pQCD at order $\alpha_s$ to calculate various distribution functions for a dressed quark target. This study enables us to…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Kundu , A. Metz

Recent work suggests non-trivial relations between generalized parton distributions on the one hand and (naive time-reversal odd) transverse momentum dependent distributions on the other. Here we review the present knowledge on such type of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Meissner , A. Metz , K. Goeke

We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a…

High Energy Physics - Phenomenology · Physics 2011-05-10 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We investigate the behavior under Lorentz tranformations of perturbative coefficient functions in a collinear twist-3 formalism relevant for high-energy observables including transverse polarization of hadrons. We argue that those…

High Energy Physics - Phenomenology · Physics 2016-03-23 Koichi Kanazawa , Yuji Koike , Andreas Metz , Daniel Pitonyak , Marc Schlegel

Structure functions of polarized spin-1 hadrons will be measured at various accelerator facilities in the near future. Recently, transverse-momentum-dependent and collinear parton distribution functions were theoretically proposed at twist…

High Energy Physics - Phenomenology · Physics 2022-01-27 S. Kumano , Qin-Tao Song

The fully unintegrated, off-diagonal quark-quark correlator for a spin-0 hadron is parameterized in terms of so-called generalized parton correlation functions. Such objects are of relevance for the phenomenology of certain hard exclusive…

High Energy Physics - Phenomenology · Physics 2009-01-12 S. Meissner , A. Metz , M. Schlegel , K. Goeke

The covariant parton model is generalized to describe quark correlators in a systematic way. Previous results are reproduced for the T-even leading-twist transverse momentum dependent parton distribution functions (TMDs), and for the first…

High Energy Physics - Phenomenology · Physics 2021-02-03 S. Bastami , A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We derive relations between polarized transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

The present knowledge on non-trivial relations between generalized parton distributions on the one hand and transverse momentum dependent distributions on the other is reviewed. While various relations can be found in the framework of…

High Energy Physics - Phenomenology · Physics 2008-12-23 S. Meissner , A. Metz , K. Goeke

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark-model relations among TMDs are reviewed, elucidating their physical origin in terms of the quark-spin structure in…

High Energy Physics - Phenomenology · Physics 2011-09-13 C. Lorce , B. Pasquini

The transverse-momentum dependent quark distributions are studied in the limit of the large number of colors Nc. The leading orders of Nc are determined for all twist-2 distributions including the T-odd functions. The isospin structure of…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. V. Pobylitsa

Generalized parton distributions describe the distribution of partons in the transverse plane. For transversely polarized quarks and/or nucleons, these impact parameter dependent parton distributions are not axially symmetric. These…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Burkardt

We separate the contributions of parton distributions from higher twist corrections to the deeply inelastic lepton-proton scattering in the resonance region using the Jefferson Lab data at low $Q^2$. The study indicates that the concept of…

High Energy Physics - Phenomenology · Physics 2016-10-12 Jianhong Ruan , Rong Wang , Xurong Chen , Wei Zhu
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