Impacts of inverse magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter

We investigate the screening masses of neutral pions and sigma mesons in hot magnetized quark matter framework a two-flavor lattice-improved Nambu--Jona-Lasinio (NJL) model with magnetic-field-dependent coupling constant, which is determined by utilizing results from lattice QCD simulations. Since such can well reproduce inverse magnetic catalysis (IMC), comparing standard NJL model, we systemically analyze impacts IMC on temperature field dependences longitudinal transverse chiral partners, i.e., ${\ensuremath{\pi}}^{0}$ $\ensuremath{\sigma}$ mesons, as mass differences between them. Particularly, it found that $eB$ two alternative (pseudo)critical temperatures for transition defined $\ensuremath{\sigma}\ensuremath{-}{\ensuremath{\pi}}^{0}$ meson are consistent condensate.