Radiative first-order phase transitions to next-to-next-to-leading order

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