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The QCD equation of state at zero baryon chemical potential is the onlyelement of the standard dynamical framework to describe heavy ion collisionsthat can be directly determined from first principles. Continuum extrapolatedlattice QCD equations of state have been computed using 2+1 quark flavors(up/down and strange) as well as 2+1+1 flavors to investigate the effect ofthermalized charm quarks on QCD thermodynamics. Lattice results have alsoindicated the presence of new strange resonances that not only contribute tothe equation of state of QCD matter but also affect hadronic afterburners usedto model the later stages of heavy ion collisions. We investigate how these newdevelopments obtained from first principles calculations affect multiparticlecorrelations in heavy ion collisions. We compare the commonly used equation ofstate S95n-v1, which was constructed using what are now considered outdatedlattice results and hadron states, to the current state-of-the-art lattice QCDequations of state with 2+1 and 2+1+1 flavors coupled to the most up-to-datehadronic resonances and their decays. New hadronic resonances lead to anenhancement in the hadronic spectra at intermediate $p_T$. Using an outdatedequation of state can directly affect the extraction of the shear viscosity toentropy density ratio, $\eta/s$, of the quark-gluon plasma and results fordifferent flow observables. The effects of the QCD equation of state onmultiparticle correlations of identified particles are determined for both AuAu$\sqrt{s_{NN}}=200$ GeV and PbPb $\sqrt{s_{NN}}=5.02$ TeV collisions. Newinsights into the $v_2\{2\}$ to $v_3\{2\}$ puzzle in ultracentral collisionsare found. Flow observables of heavier particles exhibit more non-linearbehavior regardless of the assumptions about the equation of state, which mayprovide a new way to constrain the temperature dependence of $\eta/s$.

Effect of the QCD equation of state and strange hadronic resonances on multiparticle correlations in heavy ion collisions