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From hard exclusive meson electroproduction to deeply virtual Compton scattering

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Abstract

We systematically evaluate observables for hard exclusive electroproduction of real photons and compare them to experiment using a set of Generalized Parton Distributions (GPDs) whose parameters are constrained by Deeply Virtual Meson Production data, nucleon form factors and parton distributions. The Deeply Virtual Compton Scattering amplitudes are calculated to leading-twist accuracy and leading order in QCD perturbation theory while the leptonic tensor is treated exactly, without any approximation. This study constitutes a check of the universality of the GPDs. We summarize all relevant details on the parameterizations of the GPDs and describe its use in the handbag approach of the aforementioned hard scattering processes. We observe good agreement between predictions and measurements of deeply virtual Compton scattering on a wide kinematic range, including most data from H1, ZEUS, HERMES, Hall A and CLAS collaborations for unpolarized and polarized targets when available. We also give predictions relevant for future experiments at COMPASS and JLab after the 12 GeV upgrade.

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Notes

  1. Formally, Deeply Virtual Compton Scattering or DVCS refers only to the subprocess γ ∗ p→γp. However, DVCS is often used more loosely in the literature to name the photon leptoproduction process lp→lpγ used experimentally.

  2. The variables ρ and η are usually denoted by β and α, respectively. However, we do not use this notation here in order to avoid a clash of notation. The latter symbols are already used for powers in the functional form.

  3. Another method to treat \(\gamma_{T}^{*}\to V_{T}\) transitions has been proposed in Ref. [66].

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Acknowledgements

The authors would like to thank M. Diehl, N. D’Hose, D. Müller, W.-D. Nowak and G. Schnell for many fruitful discussions and valuable inputs.

This work was supported in part by the Commissariat à l’Energie Atomique et aux Energies Alternatives and the GDR 3034 PH-QCD and by the BMBF under contract 06RY258.

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  1. Fachbereich Physik, Universität Wuppertal, 42097, Wuppertal, Germany

    P. Kroll

  2. Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    P. Kroll

  3. IRFU/Service de Physique Nucléaire, CEA Saclay, 91191, Gif-sur-Yvette, France

    H. Moutarde & F. Sabatié

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  1. P. Kroll
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Kroll, P., Moutarde, H. & Sabatié, F. From hard exclusive meson electroproduction to deeply virtual Compton scattering. Eur. Phys. J. C 73, 2278 (2013). https://doi.org/10.1140/epjc/s10052-013-2278-0

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