Generalized vector form factors of the pion in a chiral quark model
Wojciech Broniowski
TL;DR
This paper calculates the generalized vector form factors of the pion using a chiral quark model, compares some results with lattice data, and discusses the impact of QCD evolution on higher moments.
Contribution
It provides a detailed evaluation of pion generalized vector form factors within the NJL model and highlights the importance of QCD evolution for higher moments.
Findings
Fair agreement with lattice data for lowest moments
Predictions made for higher-order moments
Role of QCD evolution emphasized
Abstract
Generalized vector form factors of the pion, related to the moments of the generalized parton distribution functions, are evaluated in the Nambu--Jona-Lasinio model with the Pauli-Villars regularization. The lowest moments (the electromagnetic and the gravitational form factors) are compared to recent lattice data, with fair agreement. Predictions for higher-order moments are also made. Relevant features of the generalized form factors in the chiral quark models are highlighted and the role of the QCD evolution for the higher-order GFFs is stressed.
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