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We propose a practical effective model by introducing temperature ($T$)dependence to the coupling strengths of four-quark and six-quarkKobayashi-Maskawa-'t Hooft interactions in the 2+1 flavor Polyakov-loopextended Nambu-Jona-Lasinio model. The $T$ dependence is determined from LQCDdata on the renormalized chiral condensate around the pseudocriticaltemperature $T_c^{\chi}$ of chiral crossover and the screening-mass differencebetween $\pi$ and $a_0$ mesons in $T > 1.1T_c^\chi$ where only the $U(1)_{\rmA}$-symmetry breaking survives. The model well reproduces LQCD data onscreening masses $M_{\xi}^{\rm scr}(T)$ for both scalar and pseudoscalarmesons, particularly in $T \ge T_c^{\chi}$. Using this effective model, wepredict meson pole masses $M_{\xi}^{\rm pole}(T)$ for scalar and pseudoscalarmesons. For $\eta'$ meson, the prediction is consistent with the experimentalvalue at finite $T$ measured in heavy-ion collisions. We point out that therelation $M_{\xi}^{\rm scr}(T)-M_{\xi}^{\rm pole}(T) \approx M_{\xi'}^{\rmscr}(T)-M_{\xi'}^{\rm pole}(T)$ is pretty good when $\xi$ and $\xi'$ are scalarmesons, and show that the relation $M_{\xi}^{\rm scr}(T)/M_{\xi'}^{\rm scr}(T)\approx M_{\xi}^{\rm pole}(T)/M_{\xi'}^{\rm pole}(T)$ is well satisfied within20% error when $\xi$ and $\xi'$ are pseudoscalar mesons and also when $\xi$ and$\xi'$ are scalar mesons.

Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses