Dual parametrization and Abel transform tomography for twist-3 DVCS

Abstract:The dual parametrization and the Mellin-Barnes integral approach represent two frameworks for handling the double partial wave expansion of generalized parton distributions (GPDs) in the conformal partial waves and in the t-channel SO(3) partial waves. Within the dual parametrization framework, GPDs are represented as integral convolutions of forward-like functions whose Mellin moments generate the conformal moments of GPDs. The Mellin-Barnes integral approach is based on the analytic continuation of the GPD conformal moments to the complex values of the conformal spin. GPDs are then represented as the Mellin-Barnes-type integrals in the complex conformal spin plane. In this paper we explicitly show the equivalence of these two independently developed GPD representations. Furthermore, we clarify the notions of the J = 0 fixed pole and the D-form factor. We also provide some insight into GPD modeling and map the phenomenologically successful Kumerički-Müller GPD model to the dual parametrization framework by presenting the set of the corresponding forward-like functions. We also build up the reparametrization procedure allowing to recast the double distribution representation of GPDs in the Mellin-Barnes integral framework and present the explicit formula for mapping double distributions into the space of double partial wave amplitudes with complex conformal spin.

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“…The detailed description of different aspects of the dual parametrization approach can be found in refs. [33,[53][54][55][56][57][58].…”

Section: Basics Of the Dual Parametrizationmentioning

confidence: 99%

Dual parametrization of generalized parton distributions in two equivalent representations

Müller

Polyakov

Semenov-Tian-Shansky

2015

J. High Energ. Phys.

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“…From the other side, this variable is rooted in the Lorentz [3] and,in particular, rotational [4] symmetries. One may wonder whether these symmetries are related to the appearance of 2-dimensional Abel transform for twist-3 GPDs [5].…”

Section: Holographic Variable For Tmdsmentioning

confidence: 99%

Transverse spin effects and holography

Teryaev

2015

EPJ Web of Conferences

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Abstract. The holographic sum rules for GPDs and the appearance of holographic variables in the TMD models are discussed. The relation between GPDs and TMDs in the spirit of Veneziano duality is suggested. The derivation of Burkardt sum rule for Sivers function clarifying its relation to Ji's sum rules for GPDs is presented. The possibility of its generalization for the case pf separate quark flavours implying the nodes of Sivers functions is discussed.

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“…The possible alternative way to parameterize GPDs is the so-called dual parametrization [15] (see [16,[19][20][21][22] for the recent development and discussion). Originally, the dual parametrization was formulated for the case of quark GPDs.…”

Section: The Dual Parametrization For Gluon Gpdsmentioning

confidence: 99%

“…In fact, the most non-committal way to understand the partial wave expansions (18), (19), (20), (21) is to consider them just as formal series which satisfy the fundamental polynomiality property of gluon GPDs (9), (10). The summation procedure [15] allowing to convert these formal series into rigorously defined expressions is reviewed in the Appendix A.…”

Section: The Dual Parametrization For Gluon Gpdsmentioning

confidence: 99%

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The dual parametrization for gluon GPDs

Semenov-Tian-Shansky

2010

Eur. Phys. J. A

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We consider the application of the dual parametrization for the case of gluon GPDs in the nucleon. This provides opportunities for the more flexible modeling unpolarized gluon GPDs in a nucleon which in particular contain the invaluable information on the fraction of nucleon spin carried by gluons. We perform the generalization of Abel transform tomography approach for the case of gluons. We also discuss the skewness effect in the framework of the dual parametrization.We strongly suggest to employ the fitting strategies based on the dual parametrization to extract the information on GPDs from the experimental data.

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Dual parametrization and Abel transform tomography for twist-3 DVCS

Cited by 22 publications

References 37 publications

Dual parametrization of generalized parton distributions in two equivalent representations

Dual parametrization of generalized parton distributions in two equivalent representations

Transverse spin effects and holography

The dual parametrization for gluon GPDs

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