Determination of UA(1) restoration from meson screening masses by using the entanglement PNJL model: Toward chiral regime

We determine temperature (T) dependence of UA(1) restoration from meson screening masses calculated with 2+1 flavor lattice QCD, using Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model with entanglement vertex. The entanglement PNJL (EPNJL) model exhibits the UA(1) anomaly through the Kobayashi-Maskawa-'t Hooft (KMT) interaction. T dependence of KMT interaction strength is determined from the difference between pION and a0 meson screen- ing masses. The strength is strongly suppressed around the pseudocritical temperature of chiral transition. Using this T-dependent KMT interaction, we draw the Columbia plot near the physi- cal point. In the light-quark chiral-limit with the strange quark mass fixed at the physical value, the chiral transition becomes the second order. This indicates that there exists a tricritical point. Hence the locatiaon is estimated.