First Order Phase Transition in a Two Higgs-doublet Model with $M_{h}>M_{W}$

Details First Order Phase Transition in a Two Higgs-doublet Model with $M_{h}>M_{W}$ First Order Phase Transition in a Two Higgs-doublet Model with $M_{h}>M_{W}$

1993-03-18

arxiv.org/abs/hep-ph/9303282v2

Phys.Lett.B314:95-103,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages

Scientific paper

10.1016/0370-2693(93)91327-J

We study the 3d effective field theory of a weakly coupled two Higgs-doublet scalar model at high temperature. Our model has three scalar quartic couplings and an $O(4)$ symmetry which is spontaneously broken by a nonzero scalar field $vev$ at zero temperature. Using high temperature perturbation theory, renormalization group arguments in $4-\epsilon$ dimensions, as well as $1/N$ expansion techniques in 3 dimensions, we argue that the transition from the high temperature symmetry restoring phase to the low temperature phase is first order for a range of scalar couplings. This result is not due to gauge couplings. We discuss the implications of our results for baryogenesis in the two Higgs-doublet electroweak model, especially when the lightest neutral Higgs is heavier than the W--bosons.

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