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Effects of a flavor singlet vector interaction in the Polyakov - Nambu -Jona-Lasinio (PNJL) model are studied in combination with the axial U(1)breaking Kobayashi - Maskawa - 't Hooft interaction. Using a consistent cutoffscheme we investigate the QCD phase diagram and its dependence on the vectorcoupling strength $g_v$. We find that the first order chiral phase transitionat moderate baryon chemical potentials and its critical point, a genericfeature of most NJL-type models without vector coupling, disappear forsufficiently large values of $g_v$ that are consistent with lattice QCD resultsat imaginary chemical potential. The influence of non-zero $g_v$ on thecurvature of the crossover boundary in the $T-\mu$ plane close to $\mu = 0$ isalso examined.

Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram