Eur. Phys. J. C (2008) 58: 179-192
https://doi.org/10.1140/epjc/s10052-008-0769-1

Regular Article - Theoretical Physics

Deeply virtual Compton scattering on a virtual pion target

¹ Deutsches Elektronen-Synchroton DESY, 22603, Hamburg, Germany
² Centre de Physique Théorique, École Polytechnique, CNRS, 91128, Palaiseau, France
³ Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, 69120, Heidelberg, Germany

^* e-mail: markus.diehl@desy.de

Received: 8 August 2008
Published online: 14 October 2008

Abstract

We study deeply virtual Compton scattering on a virtual pion that is emitted by a proton. Using a range of models for the generalized parton distributions of the pion, we evaluate the cross section, as well as the beam spin and beam charge asymmetries in the leading-twist approximation. Studying Compton scattering on the pion in suitable kinematics puts high demands on both beam energy and luminosity, and we find that the corresponding requirements will first be met after the energy upgrade at Jefferson Laboratory. As a by-product of our study, we construct a parameterization of pion generalized parton distributions that has a non-trivial interplay between the x and t dependence and is in good agreement with form factor data and lattice calculations.