The research status on the critical point of QCD phase diagrams.

Question

What is the status of the research on the critical point (the multicritical point which connects the 2nd order phase transition and the 1st order phase transitions or the crossover) of QCD phase diagram? 

The "Thermal" Critical Point is mentioned and summarized in this paper: http://physics.aps.org/articles/v2/5

Have the critical point(s) in QCD phase diagram been verified? Other than the "thermal Critical Point," are there also the non-thermal low or zero temperature critical point, say, the "Quantum" critical point in QCD phase diagram?

What are the status and consensus in the theory community as well as the experiment community?

Comments

see the very recent paper

Critical point search from an extended parameter space of lattice QCD at finite temperature and density by S Ejiri et al., https://arxiv.org/abs/1601.04577

related: New critical point for QCD in a magnetic field, https://arxiv.org/abs/1310.2234