Eur. Phys. J. A (2014) 50: 90
https://doi.org/10.1140/epja/i2014-14090-1

Regular Article - Theoretical Physics

Cross-channel analysis of quark and gluon generalized parton distributions with helicity flip

¹ CPhT, École Polytechnique, CNRS, 91128, Palaiseau, France
² IFPA, Département AGO, Université de Liège, 4000, Liège, Belgium
³ National Centre for Nuclear Research (NCBJ), Warsaw, Poland
⁴ LPT, Université de Paris-Sud, CNRS, 91405, Orsay, France
⁵ UPMC, Université Paris 06, Faculté de Physique, 4 place Jussieu, 75252, Paris, France

^* e-mail: ksemenov@ulg.ac.be

Received: 1 April 2014
Accepted: 22 April 2014
Published online: 28 May 2014

Abstract

Quark and gluon helicity flip generalized parton distributions (GPDs) address the transversity quark and gluon structure of the nucleon. In order to construct a theoretically consistent parametrization of these hadronic matrix elements, we work out the set of combinations of those GPDs suitable for the SO(3) partial wave (PW) expansion in the cross-channel. This universal result will help to build up a flexible parametrization of these important hadronic non-perturbative quantities, using, for instance, the approaches based on the conformal PW expansion of GPDs such as the Mellin-Barnes integral or the dual parametrization techniques.