Implication of Quadratic Divergences Cancellation in the Two Higgs Doublet Model

TL;DR

This paper investigates the Two Higgs Doublet Model, focusing on quadratic divergence cancellation, to derive heavy scalar masses and analyze parameter constraints based on current experimental data.

Contribution

It derives scalar masses in the 2HDM using divergence cancellation conditions and examines parameter space constraints with recent experimental results.

Findings

Derived heavy scalar masses consistent with divergence cancellation.

Identified parameter space restrictions from LHC and electroweak data.

Found solutions in SM-like scenarios with 125 GeV Higgs bosons.

Abstract

With the aim of exploring the Higgs sector of the Two Higgs Doublet Model (2HDM), we have chosen the exact and soft $Z_2$ symmetry breaking versions of the 2HDM with non-zero vacuum expectation values for both Higgs doublets (Mixed Model). We consider two SM-like scenarios: with 125 GeV $h$ and 125 GeV $H$. We have applied the condition for cancellation of quadratic divergences in the type II 2HDM in order to derive masses of the heavy scalars. Solutions of two relevant conditions were found in the considered SM-like scenarios. After applying the current LHC data for the observed 125 GeV Higgs boson, the precision electroweak data test and lower limits on the mass of $H^+$, the allowed region of parameters shrink strongly.