  We develop new perturbative tools to accurately study radiatively-induced
first-order phase transitions. Previous perturbative methods have suffered
internal inconsistencies and been unsuccessful in reproducing lattice data,
which is often attributed to infrared divergences of massless modes (the Linde
problem). We employ a consistent power counting scheme to perform calculations,
and compare our results against lattice data. We conclude that the consistent
expansion removes many previous issues, and indicates that the infamous Linde
problem is not as big a factor in these calculations as previously thought.
