2023
DOI: 10.3390/particles6010015
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Generalised Parton Distributions in Continuum Schwinger Methods: Progresses, Opportunities and Challenges

Abstract: This paper review the modelling efforts regarding Generalised Parton Distributions (GPDs) using continuum techniques relying on Dyson–Schwinger and Bethe–Salpeter equations. The definition and main properties of the GPDs are first recalled. Then, we detail the strategies developed in the last decade in the meson sector, highlighting that observables connected to the pion GPDs may be measured at future colliders. We also highlight the challenges one will face when targeting baryons in the future.

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Cited by 7 publications
(1 citation statement)
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“…They add information about the distribution of partons in the plane perpendicular to the bound-state's total momentum, i.e., within the light-front itself. GPDs can be measured in deeply virtual Compton scattering, so long as at least one of the photons possesses large virtuality, and in deeply virtual meson production [49]. A key feature of GPDs is that they provide a direct connection between DFs and hadron form factors because any DF may be recovered as the forward limit of the relevant GPD and any elastic form factor can be expressed via a GPD-based sum rule.…”
Section: Empirical Determination Of the Pion Mass Distributionmentioning
confidence: 99%
“…They add information about the distribution of partons in the plane perpendicular to the bound-state's total momentum, i.e., within the light-front itself. GPDs can be measured in deeply virtual Compton scattering, so long as at least one of the photons possesses large virtuality, and in deeply virtual meson production [49]. A key feature of GPDs is that they provide a direct connection between DFs and hadron form factors because any DF may be recovered as the forward limit of the relevant GPD and any elastic form factor can be expressed via a GPD-based sum rule.…”
Section: Empirical Determination Of the Pion Mass Distributionmentioning
confidence: 99%