Covariant Extension of the GPD overlap representation at low Fock states

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.

36 pages, 11 figures, matches published version in EPJC

References in corpus (3)

• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Basic features of the pion valence-quark distribution function
• Implication of the overlap representation for modelling generalized parton distributions

Cited by in corpus (6)

• Measures of pion and kaon structure from generalised parton distributions
• An introductory lecture on Generalised Parton Distributions
• Pseudo-scalar mesons: light front wave functions, GPDs and PDFs
• Artificial neural network modelling of generalised parton distributions
• Double distributions and generalized parton distributions from the parton number conserved light front wave function overlap representation
• Pion GPDs: A path toward phenomenology