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We compute the initial energy densities produced in ultrarelativisticheavy-ion collisions from NLO perturbative QCD using a saturation conjecture tocontrol soft particle production, and describe the subsequent space-timeevolution of the system with hydrodynamics, event by event. The resultingcentrality dependence of the low-$p_T$ observables from this pQCD + saturation+ hydro ("EKRT") framework are then compared simultaneously to the LHC and RHICmeasurements. With such an analysis we can test the initial state calculation,and constrain the temperature dependence of the shear viscosity-to-entropyratio $\eta/s$ of QCD matter. Using these constraints from the current RHIC andLHC measurements we then predict the charged hadron multiplicities and flowcoefficients for the 5.023 TeV Pb+Pb collisions.

Pinning down QCD-matter shear viscosity in A+A collisions via EbyE fluctuations using pQCD + saturation + hydrodynamics