way to allow for a larger eQP entropy density is to take into account collective modes. As medium effects indicate correlations between the constituents of the eQP plasma, including them causes a decrease of overall entropy density. Consequently, the eQP parameters have to change in order to still describe the same lattice data, causing the entropy density to increase. With the resulting decrease of the effective coupling $G^{2}$ the crossings partially disappear.

However, the different parametrization at $\mu=0$ alone cannot account for the complete absence of ambiguities for the full HTL model. Instead, the influence of collective modes and Landau damping on the flow equation has to be examined. We therefore calculate the characteristics of the full HTL model respectively disregarding terms stemming from these contributions. While neglecting plasmon/(anti)plasminos terms from the coefficients $a_{T}$, $a_{\mu}$ and $b$ (see Appendix \[app:flow eq coeff\]) but keeping the Landau damping contributions leads to deformed characteristics meeting $T=0$ at smaller $\mu$ and no crossings appear. Hence, it is neither the plasmon nor the plasmino term which accounts for the vanishing crossings. However, neglecting the Landau damping terms immediately leads to crossing characteristics. Therefore, both collective excitations (in order to obtain a reasonably small coupling 