QCD phase diagram using PNJL model with eight-quark interactions
  We present the phase diagram and the fluctuations of different conserved charges like quark number, charge and strangeness at vanishing chemical potential for the 2+1 flavor Polyakov Loop extended Nambu--Jona-Lasinio model with eight-quark interaction terms using three-momentum cutoff regularisation. The main effect of the higher order interaction term is to shift the critical end point to the lower value of the chemical potential and higher value of the temperature. The fluctuations show good qualitative agreement with the lattice data. 
Paramita Deb, Abhijit Bhattacharyya, Sanjay K. Ghosh, Rajarshi Ray and   Anirban Lahiri
hep-ph hep-lat nucl-th