First Order Phase Transition in a Two Higgs-doublet Model with $M_h>M_W$

Abstract

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.

15 pages

References in corpus (5)

• Towards the Theory of Cosmological Phase Transitions
• Comments on the Electroweak Phase Transition
• Phase Transition Temperatures at Next-to-Leading Order
• On the Possibility of Second-Order Phase Transitions in Spontaneously Broken Gauge Theories
• On the High $T$ Phase Transition in the Gauged $SU(2)$ Higgs Model

Cited by in corpus (7)

• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Evolution of Universe to the present inert phase
• Sphalerons in the MSSM
• The $\epsilon$-expansion and the electroweak phase transition
• High Temperature Phase Transition in Two-Scalar Theories
• A concise review on some Higgs-related new physics models in light of current experiments
• High Temperature Phase Transitions in Two-Scalar Theories with Large $N$ Techniques