Nucleon axial form factor from generalized parton distributions

It is well established that the nucleon form factors can be related to generalized parton distributions (GPDs) through sum rules. On the other hand, GPDs can be expressed in terms of parton distribution functions (PDFs) according to the Diehl, Feldmann, Jakob, and Kroll (DFJK) model. In this work, we use this model to calculate polarized GPDs for quarks (Hq) using the available polarized PDFs obtained from the experimental data and then study the axial form factor of nucleon. We determine parameters of the model using standard χ² analysis of experimental data. It is shown that some parameters should be readjusted, as compared to some previously reported values, to obtain better consistency between the theoretical predictions and experimental data. Moreover, we study in detail the uncertainty of nucleon axial form factor due to various sources.