A Continuum Schwinger Method to Study the Pion's Generalized Parton Distribution
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914405552226304 |
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| author | Morgado-Chávez, J. M. Segovia, J. de Soto, F. Rodríguez-Quintero, J. Bertone, V. Defurne, M. Mezrag, C. Moutarde, H. |
| author_facet | Morgado-Chávez, J. M. Segovia, J. de Soto, F. Rodríguez-Quintero, J. Bertone, V. Defurne, M. Mezrag, C. Moutarde, H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17496 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Continuum Schwinger Method to Study the Pion's Generalized Parton Distribution Morgado-Chávez, J. M. Segovia, J. de Soto, F. Rodríguez-Quintero, J. Bertone, V. Defurne, M. Mezrag, C. Moutarde, H. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory 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. |
| title | A Continuum Schwinger Method to Study the Pion's Generalized Parton Distribution |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2603.17496 |