Eur. Phys. J. C (2017) 77: 906
https://doi.org/10.1140/epjc/s10052-017-5465-6

Regular Article - Theoretical Physics

Covariant extension of the GPD overlap representation at low Fock states

¹ IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France
² Physics Division, Argonne National Laboratory, Argonne, IL, 60439, USA
³ Istituto Nazionale di Fisica Nucleare, Sezione di Roma, P.le A. Moro 2, 00185, Rome, Italy
⁴ Dpto. Ciencias Integradas, Centro de Estudios Avanzados en Fis., Mat. y Comp., Fac. Ciencias Experimentales, Universidad de Huelva, 21071, Huelva, Spain

^* e-mail: nabil.chouika@cea.fr

Received: 17 November 2017
Accepted: 9 December 2017
Published online: 26 December 2017

Abstract

We present a novel approach to compute generalized parton distributions within the lightfront wave function overlap framework. We show how to systematically extend generalized parton distributions computed within the DGLAP region to the ERBL one, fulfilling at the same time both the polynomiality and positivity conditions. We exemplify our method using pion lightfront wave functions inspired by recent results of non-perturbative continuum techniques and algebraic nucleon lightfront wave functions. We also test the robustness of our algorithm on reggeized phenomenological parameterizations. This approach paves the way to a better understanding of the nucleon structure from non-perturbative techniques and to a unification of generalized parton distributions and transverse momentum dependent parton distribution functions phenomenology through lightfront wave functions.