TL;DR
This paper models the pion's Generalized Parton Distribution using Dyson-Schwinger and Bethe-Salpeter inspired Green functions, reconstructing it from Mellin moments and achieving excellent agreement with experimental data.
Contribution
It introduces a novel approach combining DSE and BSE inspired Green functions to model pion GPDs and reconstructs the distribution from Mellin moments.
Findings
Excellent agreement with experimental data
Successful reconstruction of GPD from Mellin moments
Innovative use of DSE and BSE inspired models
Abstract
We compute the pion Generalized Parton Distribution (GPD) in a valence dressed quarks approach. We model the Mellin moments of the GPD using Ans\"atze for Green functions inspired by the numerical solutions of the Dyson-Schwinger Equations (DSE) and the Bethe-Salpeter Equation (BSE). Then, the GPD is reconstructed from its Mellin moment using the Double Distribution (DD) formalism. The agreement with available experimental data is very good.
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