Holographic composite Higgs model and gravitational waves produced during first order phase transition

Abstract: The soft-wall holographic composite Higgs model assumes first-order phase transition from the dynamical inner symmetry breaking. This research focuses on the implications of the semi-analytical perturbative solution of the dual 5-dimensional theory as an effective description of the strongly coupled composite Higgs sector. We clarify the thermodynamical description and gravitational waves spectrum produced during the phase transition, which were previously numerically estimated. Besides, we investigate the limits of the applicability of our solution within the thin-wall approximation and quasiclassical approach in terms of the dual theory, that correspond to the strongly coupled regime of composite Higgs model. Our semi-analytic framework provides description of the strong first-order phase transition within the runaway scenario.