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The strength of electroweak symmetry breaking may substantially differ in theearly Universe compared to the present day value. In the Standard Model, theHiggs vacuum expectation value (vev) vanishes and electroweak symmetry getsrestored at temperatures above $\sim 160$ GeV due to the Higgs fieldinteractions with the high-temperature plasma. It was however shown that newlight singlet scalar fields may change this behaviour. The key feature is thenon-standard dependence on the Higgs vev of the new particles mass which canvanish at large Higgs vev, inducing a negative correction to the Higgs thermalmass, leading to electroweak symmetry non-restoration at high temperature. Weshow that such an effect can also be induced by new singlet fermions which onthe other hand have the advantage of not producing unstable directions in thescalar potential at tree level, nor bringing additional severe hierarchyproblems. As temperature drops, such a high-temperature breaking phase maycontinuously evolve into the zero-temperature breaking phase or the two phasescan be separated by a temporary phase of restored symmetry. We discuss how ourconstruction can naturally arise in motivated models of new physics, such asComposite Higgs. This is particularly relevant for baryogenesis, as it opens awhole class of possibilities in which the baryon asymmetry can be producedduring a high temperature phase transition, while not being erased later bysphalerons.

High-Temperature Electroweak Symmetry Non-Restoration from New Fermions and Implications for Baryogenesis