English

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

High Energy Physics - Phenomenology 2026-03-19 v1 High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2603.17496,
  title  = {A Continuum Schwinger Method to Study the Pion's Generalized Parton Distribution},
  author = {J. M. Morgado-Chávez and J. Segovia and F. de Soto and J. Rodríguez-Quintero and V. Bertone and M. Defurne and C. Mezrag and H. Moutarde},
  journal= {arXiv preprint arXiv:2603.17496},
  year   = {2026}
}

Comments

Submitted to the proceedings of the Excited QCD Workshop 2026, APP-B format

R2 v1 2026-07-01T11:25:46.338Z