Pion GPDs: Constraints, modelling and experimental access

Abstract

The study of Generalised Parton Distributions is a hot-topic in hadron physics. Due to its connection with chiral symmetry breaking, assessing those of pions is of great inter- est. For this reason, we present a novel model-building strategy for pion GPDs capable of fulfilling all of the theoretical constraints required by QCD: support, polynomiality, positivity and soft-pion theorem. The methodology is illustrated with a simple model, and exploited afterwards for the calculation of pions’ deeply virtual Compton Scattering (DVCS) Compton Form Factors (CFFs) at NLO. The results show gluon-content to play the dominant role in pions’ response to DVCS at EIC kinematics