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Description
In this paper we demonstrate that strong first order phase transitions can be realized within a maximally symmetric composite Higgs model featuring explicit CP violation. The maximal symmetry guarantees the finiteness of the radiatively generated potential for the pseudo-Nambu-Goldstone bosons, rendering the thermal evolution of the model fully calculable. We compute the finite temperature corrections to the potential, incorporating the momentum dependence of the form factors in the loop integrals to capture the strong dynamics. A comparison between the thermal potential in the composite scenario vis-a-vis an elementary case is presented. As a case study we examine the next-to-minimal coset where a pseudoscalar singlet emerges alongside the Higgs doublet. Explicit CP violation in the strong sector results in a nonzero vacuum expectation value for the singlet, triggering the formation of a potential barrier at a critical temperature. We demonstrate the feasibility of a strong first-order phase transition from a false vacuum to the electroweak vacuum in a significant region of the parameter space, leading to a detectable gravitational wave signature in future experiments. We further account for strong constraints from the current LHC data and measurements of the electric dipole moment of electron.