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Finding the existence and the location of the QCD critical point is one ofthe main goals of the RHIC beam energy scan program. To make theoreticalpredictions and corroborate with the experimental data requires modeling thespace-time evolution of the matter created in heavy-ion collisions by dynamicalmodels such as the relativistic hydrodynamics with an appropriate Equation ofState (EoS). In the present exploratory study, we use a viscous 2+1 dimensionalevent-by-event (e-by-e) hydrodynamic code at finite baryon densities with twodifferent EoSs (i) Lattice QCD + HRG with a crossover transition and (ii) EoSwith a first-order phase transition to studying the normalized symmetriccumulants of charged pions $v_n$ $(n=2-4)$. We show that the normalizedsymmetric cumulants can differentiate the two EoSs while all other conditionsremain the same. The conclusion does not change for various initial conditionsand shear viscosity. This indicates that these observables can be used to gaininformation about the QCD EoS from experimental data and can be used as an EoSmeter.

Normalized symmetric cumulants as a measure of QCD phase transition: a viscous hydrodynamic study