Neutral Pion Pole Mass Calculation in a Strong Magnetic Field: Lattice QCD Versus NJL Model

Within the framework of cold magnetized SU(2) Nambu-Jona-Lasinio model we evaluate the π0 and σ pole mass, as well as, fπ0, gπ0qq at zero baryon density. We employ a magnetic field dependent coupling, G(eB), fitted to reproduce lattice QCD results for the quark condensates. In particular, we find that the π0 meson mass systematically decreases when the magnetic field increases, in good agreement with recent lattice calculations.