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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

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.

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

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.
Paper Structure (6 sections, 2 equations, 1 figure)

This paper contains 6 sections, 2 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Sullivan process: one-pion-exchange approximation
  3. Generalised Parton Distributions
  4. GPD modelling
  5. DVCS Compton Form Factors (CFFs)
  6. Conclusions

Figures (1)

  • Figure 1: NLO DVCS Compton form factors yield by the algebraic model of Eq. \ref{['eq:PDF']}. Yellow plots correspond to the NLO calculation with the input gluon distribution set to zero.