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We present results from an ongoing calculation of the QCD equation of stateat finite baryon chemical potential $\mu_B$. We use the method of Taylorexpansions to circumvent the sign problem and calculate the expansioncoefficients to sixth order using HISQ fermions. We work at two latticespacings, namely $N_\tau=6$ and 8 and, though we do not take the continuumlimit, demonstrate that cutoff effects remain under control. We also use ourresults to construct an equation of state along the freeze-out curve. Using oursixth-order results as a cross-check, we demonstrate that our fourth-orderequation of state is suitable for the modeling of dense matter created in heavyion collisions with center-of-mass energies down to $s_{NN}^{1/2}\sim20$ GeV.

The QCD equation of state to $\mathcal{O}(\mu_B^4)$