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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

In the large-momentum effective field theory approach to parton physics, the matrix elements of non-local operators of quark and gluon fields, linked by straight Wilson lines in a spatial direction, are calculated in lattice quantum…

High Energy Physics - Phenomenology · Physics 2018-03-21 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

The representation of quark distribution and fragmentation functions in terms of non-local operators is combined with a simple spectator model. This allows us to estimate these functions for the nucleon and the pion ensuring correct…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Jakob , P. J. Mulders , J. Rodrigues

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 fully unintegrated, off-diagonal quark-quark correlator for a spin-1/2 hadron is parameterized in terms of so-called generalized parton correlation functions. Such objects, in particular, can be considered as mother distributions of…

High Energy Physics - Phenomenology · Physics 2009-08-18 S. Meissner , A. Metz , M. Schlegel

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

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

This article is an introduction to parton distribution functions and their generalizations which describe the quark and gluon structure of hadrons, and can be measured in various high-energy scattering processes. We provide the theoretical…

High Energy Physics - Phenomenology · Physics 2026-01-23 Cédric Lorcé , A. Metz , B. Pasquini , P. Schweitzer

Parton distribution functions give the probability to find partons (quarks and gluons) in a hadron as a function of the fraction x of the proton's momentum carried by the parton. They are conventionally defined in terms of matrix elements…

High Energy Physics - Lattice · Physics 2009-10-28 Davison E. Soper

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

Hadron spin physics is now one of the most active fields of physics. Especially in the last ten years, great progress has been made both theoretically and experimentally that has considerably improved our knowledge of the spin structure of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jiro Kodaira , Kazuhiro Tanaka

We present a review of recent applications of nonlocal chiral effective theory to hadron structure studies. Starting from a nonlocal meson--baryon effective chiral Lagrangian, we show how the introduction of a correlation function…

High Energy Physics - Phenomenology · Physics 2023-02-08 P. Wang , Fangcheng He , Chueng-Ryong Ji , W. Melnitchouk

We present a consistent calculation of the structure functions within a light-front constituent quark model of the nucleon. Relativistic effects and the relevance of the covariance constraints are analyzed for both polarized and unpolarized…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Faccioli , M. Traini , V. Vento

Parton distribution and correlation functions describe the relation between a hadron and the quarks and gluons (or collectively, the partons) within it, and carry rich information on hadron's partonic structure that cannot be calculated by…

High Energy Physics - Phenomenology · Physics 2020-01-08 Jian-Wei Qiu

The general parameterization of the quark-quark correlation function for a spin-1/2 hadron is considered. The presence of the Wilson line ensuring color gauge invariance of the correlator induces structures that were not given explicitly in…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. Goeke , A. Metz , M. Schlegel

We calculate the non-forward quark matrix elements of operators with two covariant derivatives needed for the renormalisation of the second moment of generalised parton distributions in one-loop lattice perturbation theory using Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

We present a perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a…

High Energy Physics - Phenomenology · Physics 2014-01-08 Thomas Gehrmann , Thomas Luebbert , Li Lin Yang

We analyze the structure of generalized off-diagonal and transverse-momentum dependent quark-quark and gluon-gluon correlators for a spin-1/2 hadron. Using the light-front formalism, we provide a parametrization in terms of the parton…

High Energy Physics - Phenomenology · Physics 2015-06-16 C. Lorcé , B. Pasquini

The small $x$ behaviour of polarized parton distributions is related to non-leading reggeons in the framework of the high-energy effective action. Double-logarithmic contributions to the reggeon interaction beyond the ones included in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kirschner

The field of fragmentation functions of light quarks and gluons is reviewed. In addition to integrated fragmentation functions, attention is paid to the dependence of fragmentation functions on transverse momenta and on polarization degrees…

High Energy Physics - Experiment · Physics 2016-10-17 Andreas Metz , Anselm Vossen
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