  The resummation of large thermal corrections to the effective potential is
mandatory for the accurate prediction of phase transitions. We discuss the
accuracy of different prescriptions to perform this resummation at the one- and
two-loop level and point out conceptual issues that appear when using a
high-temperature expansion at the two-loop level. Moreover, we show how a
particular prescription called partial dressing, which does not rely on a
high-temperature expansion, consistently avoids these issues. We introduce a
novel technique to apply this resummation method to the case of multiple mixing
fields. Our approach significantly extends the range of applicability of the
partial dressing prescription, making it suitable for phenomenological studies
of beyond the Standard Model extensions of the Higgs sector.
