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At least 19 records

PARTONS: PARtonic Tomography Of Nucleon Software

We describe the architecture and functionalities of a C++ software framework, coined PARTONS, dedicated to the phenomenology of Generalized Parton Distributions. These distributions describe the three-dimensional structure of hadrons in terms of quarks and gluons, and can be accessed in deeply exclusive lepto- or photo-production of mesons or photons. PARTONS provides a necessary bridge between models of Generalized Parton Distributions and experimental data collected in various exclusive production channels. We outline the specification of the PARTONS framework in terms of practical needs, physical content and numerical capacity. This framework will be useful for physicists - the-orists or experimentalists - not only to develop new models, but also to interpret existing measurements and even design new experiments

Berthou, B.↗

Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions

Here, we show that quasi-PDFs may be treated as hybrids of PDFs and primordial rest-frame momentum distributions of partons. This results in a complicated convolution nature of quasi-PDFs that necessitates using large p 3 ≳ 3 GeV momenta to get reasonably close to the PDF limit. Furthemore, as an alternative approach, we propose to use pseudo-PDFs P(x, z$2\atop{3}$) that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time distributions M (v, z$2\atop{3}$), the functions of the Ioffe time v = p 3 z 3 and the distance parameter z$2\atop{3}$ with respect to which it displays perturbative evolution for small z 3 . In this form, one may divide out the z$2\atop{3}$ dependence coming from the primordial rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The v-dependence remains intact and determines the shape of PDFs.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Topics in theory of generalized parton distributions

Several topics in the theory of generalized parton distributions (GPDs) are reviewed. First, we give a brief overview of the basics of the theory of generalized parton distributions and their relationship with simpler phenomenological functions, viz. form factors, parton densities and distribution amplitudes. Then, we discuss recent developments in building models for GPDs that are based on the formalism of double distributions (DDs). A special attention is given to a careful analysis of the singularity structure of DDs. The DD formalism is applied to construction of a model GPDs with a singular Regge behavior. Within the developed DD-based approach, we discuss the structure of GPD sum rules. It is shown that separation of DDs into the so-called “plus” part and the D -term part may be treated as a renormalization procedure for the GPD sum rules. This approach is compared with an alternative prescription based on analytic regularization.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Generalized parton distributions obtained with CLAS and CLAS12

Recent promising results obtained with the Jefferson Lab CLAS detector on deeply virtual exclusive processes and their link to the generalized parton distributions, along with the experimental program for studying GPDs at the 12 GeV upgraded JLab using the CLAS12 detector, are discussed here. With its wide acceptance, high luminosity, good resolution and particle identification capabilities, as well as large Q2 and xB coverage (View the MathML source, 0.1 < xB < 0.8), CLAS12 will be the ideal facility to pursue the research on the three-dimensional structure of the nucleon in the valence region.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Parton distributions and lattice-QCD calculations: Toward 3D structure

The strong force which binds hadrons is described by the theory of quantum chromodynamics (QCD). Determining the character and manifestations of QCD is one of the most important and challenging outstanding issues necessary for a comprehensive understanding of the structure of hadrons. Within the context of the QCD parton picture, the parton distribution functions (PDFs) have been remarkably successful in describing a wide variety of processes. However, these PDFs have generally been confined to the description of collinear partons within the hadron. New experiments and facilities provide the opportunity to additionally explore the transverse structure of hadrons which is described by generalized parton distributions (GPDs) and transverse-momentum-dependent parton distribution functions (TMD PDFs). In our previous report Lin et al. (2018), we compared and contrasted the two main approaches used to determine the collinear PDFs: the first based on perturbative QCD factorization theorems, and the second based on lattice-QCD calculations. In the present report, we provide an update of recent progress on the collinear PDFs, and also expand the scope to encompass the generalized PDFs (GPDs and TMD PDFs). We review the current state of the various calculations, and consider what new data might be available in the near future. We also examine how a shared effort can foster dialog between the PDF and lattice-QCD communities, and yield improvements for these generalized PDFs.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Sketching the pion's valence-quark generalised parton distribution

In order to learn effectively from measurements of generalised parton distributions (GPDs), it is desirable to compute them using a framework that can potentially connect empirical information with basic features of the Standard Model. We sketch an approach to such computations, based upon a rainbow-ladder (RL) truncation of QCD's Dyson-Schwinger equations and exemplified via the pion's valence dressed-quark GPD, H-pi(V)(chi, xi, t). Our analysis focuses primarily on xi = 0, although we also capitalise on the symmetry-preserving nature of the RL truncation by connecting H-pi(V)(chi, xi = +/- 1, t) with the pion's valence-quark parton distribution amplitude. We explain that the impulse-approximation used hitherto to define the pion's valence dressed-quark GPD is generally invalid owing to omission of contributions from the gluons which bind dressed-quarks into the pion. A simple correction enables us to identify a practicable improvement to the approximation for H(pi)(V)p(chi, 0, t), expressed as the Radon transform of a single amplitude. Therewith we obtain results for H pi V(chi, 0, t) and the associated impact-parameter dependent distribution, q(pi)(V)(chi, vertical bar(b) over right arrow (perpendicular to)vertical bar), which provide a qualitatively sound picture of the pion's dressed-quark structure at a hadronic scale. We evolve the distributions to a scale zeta = 2 GeV, so as to facilitate comparisons in future with results from experiment or other nonperturbative methods. (C) 2014 Published by Elsevier B. V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).

Mezrag, C.↗

Pion and kaon valence-quark parton distribution functions.

A rainbow-ladder truncation of QCD's Dyson-Schwinger equations, constrained by existing applications to hadron physics, is employed to compute the valence-quark parton distribution functions of the pion and kaon. Comparison is made to {pi}-N Drell-Yan data for the pion's u-quark distribution and to Drell-Yan data for the ratio u{sub K}(x)/u{sub {pi}}(x): the environmental influence of this quantity is a parameter-free prediction, which agrees well with existing data. Our analysis unifies the computation of distribution functions with that of numerous other properties of pseudoscalar mesons.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Nucleon Structure with Generalized Parton Distributions

Generalized Parton Distributions provide a 3-dimensional description of hadronic structures in terms of partonic longitudinal momentum and transverse position. They appear as universal functions parameterizing the factorized amplitudes for exclusive scattering in the Bjorken limit. After a decade of exploratory measurements, we are now in a transition towards a new phase of precision mapping. We will review the existing data from Jefferson Laboratory, and their impact on extraction strategies. A full program combining beam and target polarizations will be carried out for these extractions, requiring as well various meson productions in the final state for flavor separation.

Girod-Gard, Francois-Xavier↗

Deeply virtual Compton scattering cross sections with CLAS and generalized parton distributions

Generalized parton distributions (GPDs) are the object of an intense research effort. Among other aspects, they allow us to unravel the correlation between the longitudinal momentum fraction and the transverse spatial distributions of quarks and gluons inside the nucleon. Of particular interest is that GPDs provide access to the orbital angular momentum of the partons in the nucleon. Deeply virtual Compton scattering (DVCS), the electroproduction of a real photon on a single parton of the nucleon eN --> eNy, is the most straightforward deep exclusive process allowing access to GPDs. The CEBAF Large Acceptance Spectrometer (CLAS) at JLab plays a key role in the study of the DVCS process. Using CEBAF's 5.75 GeV polarized electron beam, an unpolarized hydrogen target, and the CLAS detector, we collected DVCS events in the widest kinematic range ever explored in the valence region: 1 epy unpolarized cross section and beam-polarized cross section difference. We will show the constraints on the GPDs which can be extracted from these results, in a nearly model-independent fitting procedure.

Jo, Hyon-Suk↗

Kernel methods for evolution of generalized parton distributions

Generalized parton distributions (GPDs) characterize the 3-dimensional structure of hadrons, combining information about their internal quark and gluon longitudinal momentum distributions and transverse position within the hadron. The dependence of GPDs on the factorization scale Q 2 allows one to connect hard exclusive processes involving GPDs at disparate energy and momentum scales, which is needed in global analyses of experimental data. Here, in this work, we explore how finite element methods can be used to construct fast and differentiable Q 2 evolution codes for GPDs in momentum space, which can be used in a machine learning framework. We show numerical benchmarks of the methods' accuracy, including a comparison to an existing evolution code from PARTONS/APFEL++, and provide a repository where the code can be accessed.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Evolution equations for connected and disconnected sea parton distributions

It has been observed here from the path-integral formulation of the hadronic tensor that there are connected sea and disconnected sea partons. The former is responsible for the Gottfried sum rule violation primarily and evolves the same way as the valence. Therefore, the DGLAP evolution equations can be extended to accommodate them separately. We report on its consequences and implications vis-a-vis lattice calculations.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗