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arXiv · 2603.17496

A Continuum Schwinger Method to Study the Pion's Generalized Parton Distribution

J. M. Morgado-Chávez·J. Segovia·F. de Soto·J. Rodríguez-Quintero·V. Bertone·M. Defurne·C. Mezrag·H. Moutarde
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Abstract

Generalised Parton Distributions (GPDs) provide multidimensional insight into hadron structure and are particularly relevant for the pion, whose dynamics are intimately linked to chiral symmetry breaking. We introduce a novel modelling strategy for pion GPDs that satisfies all QCD constraints by construction: support, polynomiality, positivity, and the soft-pion theorem. The approach is illustrated with a simple algebraic model, which is evolved and used to compute deeply virtual Compton scattering (DVCS) Compton Form Factors at next-to-leading order. Our results indicate that gluons dominate the pion response at the Electron Ion Collider kinematics.

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J. M. Morgado-Chávez, J. Segovia, F. de Soto, J. Rodríguez-Quintero, V. Bertone, M. Defurne, C. Mezrag, H. Moutarde. 2026-03-18. A Continuum Schwinger Method to Study the Pion's Generalized Parton Distribution. https://arxiv.org/abs/2603.17496

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