Generalized parton distributions of the pion in chiral quark models and their QCD evolution

Understand

We evaluate Generalized Parton Distributions of the pion in two chiral quark models: the Spectral Quark Model and the Nambu-Jona-Lasinio model with a Pauli-Villars regularization.

• We proceed by the evaluation of double distributions through the use of a manifestly covariant calculation based on the alpha representation of propagators.
• As a result polynomiality is incorporated automatically and calculations become simple.
• In addition, positivity and normalization constraints, sum rules and soft pion theorems are fulfilled.