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Models with radiative symmetry breaking typically feature stronglysupercooled first-order phase transitions, which result in an observablestochastic gravitational wave background. In this work, we analyse the role ofhigher order thermal corrections for these transitions, applyinghigh-temperature dimensional reduction to a theory with dimensionaltransmutation. In particular, we study to what extent high-temperatureeffective field theories (3D EFT) can be used. We find that despite significantsupercooling down from the critical temperature, the high-temperature expansionfor the bubble nucleation rate can be applied using the 3D EFT framework, andwe point out challenges in the EFT description. We compare our findings toprevious studies, and find that the next-to-leading order corrections obtainedin this work have a significant effect on the predictions for GW observables,motivating a further exploration of higher order thermal effects.

Gravitational waves from supercooled phase transitions: dimensional transmutation meets dimensional reduction