A note on “Electron self-energy in logarithmic electrodynamics” by P. Gaete and J. Helayël-Neto

We propose an identification of the free parameter in the model of nonlinear electrodynamics proposed in Gaete and Helayl-Neto (Eur Phys J C 74:2816, 2014) by equating the second term in the power expansion of its Lagrangian with that in the expansion of the Heiseberg-Euler Lagrangian. The resulting value of the field-energy of a pointlike charge makes 0.988 of the electron mass, if the charge is that of the electron.