relation, the full HTL model relies on the HTL dispersion relations and thus massless particles. We assume here that the employed lattice restmasses in [@Kar07] are sufficiently small to be absorbed in suitably adjusted parameters.

For $T>T_{c}$ and $N_{f}=2$ the full HTL model has been shown to give a description of lattice data being equally well as the eQP [@Rom04]. For $N_{f}=2+1$ flavors we meet a similar situation: The full HTL QPM describes the lattice QCD data [@Kar07] as good as the eQP model (see Figure \[fig:fullHTL fit quad\], left). The extension to $T<T_{c}$, on the other hand, is not straightforward. Instead of a linear IR regulator [@Blu04b], it is necessary to use a quadratic parametrization of the effective coupling in order to achieve agreement with lattice data also below the pseudocritical temperature, which we consider here as mere parametrisation of the lattice data.

![The scaled entropy densities $s/T^{3}$ of the full HTL QPM with quadratic IR regulator (solid black lines; $T_{s}=0.728T_{c}$ and $\lambda=6.10$) and the eQP (grey dashed lines; $T_{s}=0.752T_{c}$ and $\lambda=6.26$) adjusted to lattice data for $N_{f}=2+1$ from [@Kar07] with $d_{\text{lat}}=0.96$ are shown as functions of the scaled temperature $T/T_{c}$. The adjustment quality of the full HTL QPM 