Virtual Compton scattering in the generalized Bjorken region and positivity bounds on generalized parton distributions

Pobylitsa, P. V.

doi:10.1103/physrevd.70.034004

Cited by 19 publications

(13 citation statements)

References 39 publications

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“…Moreover, different authors derived positivity constraints (see Ref. [24] and references therein). Although these derivations are intuitively understandable, a number of questions can be raised that are hardly to answer.…”

Section: Introductionmentioning

confidence: 99%

Deeply virtual Compton scattering off nuclei

2003

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We consider the hard leptoproduction of a photon off nuclei up to spin-1. As a new result we present here the general azimuthal angular dependence of the differential cross section for a spin-1 target. Its twist-two Fourier coefficients of the interference and squared deeply virtual Compton scattering amplitude are evaluated in leading order approximation of perturbation theory in terms of generalized parton distributions, while the pure Bethe-Heitler cross section is exactly calculated in terms of electromagnetic form factors. Relying on a simple model for the nucleon generalized parton distribution H, which describes the existing DVCS data for a proton target, we estimate the size of unpolarized cross sections, beam and longitudinal target spin as well as unpolarized charge asymmetries for present fixed target experiments with nuclei. These estimates are confronted with preliminary HERMES data for deuterium and neon.

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Section: Introductionmentioning

confidence: 99%

Deeply virtual Compton scattering off nuclei

2003

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“…Pobylitsa investigated the possibility to fulfil both positivity and polynomiality [104,119]. In particular, Pobylitsa's solution in ref.…”

Section: Double Distributionsmentioning

confidence: 99%

“…The sign of the norm of (unphysical) quark-hadron states is questioned in ref. [104] where an alternative proof of the positivity bounds is given.…”

Section: Positivitymentioning

confidence: 99%

“…The fit returns values for the u and d valence quarks sector to be used along with the functional forms from eq. (104). The parameters fitted to PDFs are presented in the upper part of the table.…”

Section: Global Fitsmentioning

confidence: 99%

“…In particular, Pobylitsa's solution in ref. [104] relies on a modified DD representation in the Polyakov-Weiss gauge, i.e. the specific choice of DDs F…”

Section: Double Distributionsmentioning

confidence: 99%

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GPD phenomenology and DVCS fitting

2016

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Abstract. We review the phenomenological framework for accessing Generalized Parton Distributions (GPDs) using measurements of Deeply Virtual Compton Scattering (DVCS) from a proton target. We describe various GPD models and fitting procedures, emphasizing specific challenges posed both by the internal structure and properties of the GPD functions and by their relation to observables. Bearing in mind forthcoming data of unprecedented accuracy, we give a set of recommendations to better define the pathway for a precise extraction of GPDs from experiment.

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Chouika¹,

Mezrag²,

Moutarde³

et al. 2018

Light Cone 2016

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We briefly report on a recent computation, with the help of a fruitful algebraic model, sketching the pion valence dressed-quark generalized parton distribution. Then, preliminary, we introduce on a sensible procedure to get reliable results in both Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and Efremov-Radyushkin-Brodsky-Lepage (ERBL) kinematical regions, grounded on the GPD overlap representation and its parametrization of a Radon transform of the so-called double distribution (DD).

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Virtual Compton scattering in the generalized Bjorken region and positivity bounds on generalized parton distributions

Abstract: The positivity bounds on generalized parton distributions are derived from the positivity properties of the absorptive part of the amplitude of the virtual Compton scattering in the generalized Bjorken region.

Cited by 19 publications

References 39 publications

Deeply virtual Compton scattering off nuclei

Deeply virtual Compton scattering off nuclei

GPD phenomenology and DVCS fitting

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