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A fresh look at the generalized parton distributions of light pseudoscalar mesons
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We present a symmetry-preserving scheme to derive the pion and kaon generalized parton distributions (GPDs) in Euclidean space. The key to maintaining crucial symmetries under this approach is the treatment of the scattering amplitude, such that it contains both the traditional leading-order contributions and the scalar/vector pole contribution automatically, the latter being necessary to ensure the soft-pion theorem. The GPD is extracted analytically via the uniqueness and definition of the Mellin moments and we find that it naturally matches the double distribution; consequently, the polynomiality condition and sum rules are satisfied. The present scheme thus paves the way for the extraction of the GPD in Euclidean space using the Dyson-Schwinger equation framework or similar continuum approaches.
Forward citations
Cited by 2 Pith papers
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Generalized parton distributions of the kaon and pion within the nonlocal chiral quark model
The paper extends the nonlocal chiral quark model to strange quarks and computes kaon and pion generalized parton distributions, their QCD evolution, and strange-to-light gravitational form factor ratios.
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Mapping spatial distributions within pseudoscalar mesons
A new analytic parametrization of meson valence-quark GPDs yields spatial charge and mass distributions and radius ratios for pions, kaons and heavy-light mesons.
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