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.
Highlights
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 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
Summary
Lightfront quantization allows the expansion of a hadron state |P, λ of momentum P and polarization λ on a Fock basis:. KN denote the N -particles partonic states with each particle carrying a momentum ki. Β stands for the relevant quantum numbers. These states are weighted by the LFWFs λ N. Containing the nonperturbative physics, and normalized as follows:
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