Nonperturbative Analysis of the Electroweak Phase Transition in the Two Higgs Doublet Model

TL;DR

This paper conducts a nonperturbative analysis of the electroweak phase transition in the two Higgs doublet model, identifying parameter regions with a first-order transition and confirming previous perturbative predictions.

Contribution

It derives a dimensionally reduced effective theory for the 2HDM and matches it to known phase diagram results, providing nonperturbative insights into the EWPT.

Findings

Identifies parameter regions with first-order phase transition in 2HDM

Confirms the relation m_{A_0} > m_{H_0} + m_Z as a signature of first-order EWPT

Provides a nonperturbative framework for analyzing the electroweak phase transition

Abstract

We perform a nonperturbative study of the electroweak phase transition (EWPT) in the two Higgs doublet model (2HDM) by deriving a dimensionally reduced high-temperature effective theory for the model, and matching to known results for the phase diagram of the effective theory. We find regions of the parameter space where the theory exhibits a first-order phase transition. In particular, our findings are consistent with previous perturbative results suggesting that the primary signature of a first-order EWPT in the 2HDM is $m_{A_0} > m_{H_0} + m_Z$.