Pion generalized parton distributions: A path toward phenomenology

We introduce a new family of generalized parton distribution models able to fulfill by construction all the theoretical properties imposed by QCD. These models are built on standard parton distribution functions and extended to off-forward kinematics through a well-defined procedure. We apply this strategy on the pion, first handling a simple but insightful algebraic model, and then exploiting state-of-the-art computations obtained in continuum QCD. We compare these models with a more standard one relying on an xFitter extraction of the pion parton distribution functions. The results for both quark and gluon generalized parton distributions are presented and exploited for calculation of electromagnetic, gravitational, and Compton form factors. Results on the latter highlight the relevance of next-to-leading-order corrections, even in the so-called valence region.

Automated summary

We introduce a new family of generalized parton distribution models that satisfy all the theoretical properties imposed by QCD. These models are constructed based on standard parton distribution functions and extended to off-forward kinematics using a well-defined procedure. We apply this strategy to the pion and compare the results with a more standard model obtained from an xFitter extraction. The calculated quark and gluon generalized parton distributions are then used to calculate electromagnetic, gravitational, and Compton form factors. The results highlight the importance of next-to-leading-order corrections even in the valence region.