### Speaker

### Description

The QCD Equation of State (EoS) is fundamental for our understanding of the properties

of strong-interaction matter at non-zero temperature and density. In view of the

upcoming Beam Energy Scan II program at RHIC, it is important to gain control

over the EoS in the entire range of chemical potentials ($\mu_B$) accessible at

RHIC, $0\le \mu_B/T \le 3$. This will provide crucial input for the hydrodynamic

modeling of hot and dense matter and will allow to clarify whether or not a

critical end-point exists in this parameter range.

We present results for the QCD Equation of State at non-zero chemical potentials

corresponding to the conserved charges in QCD using Taylor expansion upto $6^{th}$ order

in the baryon number, electric charge and strangeness chemical potentials. The latter

two are constrained by strangeness neutrality and a fixed electric charge to

baryon number ratio. In our calculations, we use the Highly Improved Staggered Quarks

(HISQ) discretization scheme at different values of the lattice spacings to

control lattice cut-off effects. The light and strange quark masses are

adjusted to reproduce physical values of pion and kaon masses. Furthermore we calculate the

pressure along lines of constant energy density, which serve as proxies for the

freeze-out conditions and discuss their dependence on $\mu_B$, which is necessary for

hydrodynamic modeling near freezeout.

We also provide an estimate of the radius of convergence of the Taylor series from the $6$th order

coefficients which gives a new constraint on the location of the critical end-point

in the $T$-$\mu_B$ plane of the QCD phase diagram.

Preferred Track | QCD at High Temperature |
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Collaboration | Other |