Exploring the Hyperchargeless Higgs Triplet Model up to the Planck Scale

TL;DR

This paper investigates an extended Higgs sector with a triplet, analyzing its stability, unitarity, and inflation potential up to the Planck scale, considering experimental constraints and symmetries.

Contribution

It provides a comprehensive analysis of the Higgs triplet model's parameter space, including stability, metastability, and inflation viability, up to the Planck scale.

Findings

Identified parameter regions consistent with vacuum stability and metastability.

Derived bounds on the scalar potential from unitarity constraints.

Showed the model's potential to explain cosmic inflation at large field values.

Abstract

We examine an extension of the SM Higgs sector by a Higgs triplet taking into consideration the Higgs-like particle discovery at the LHC with mass around 125 GeV. We evaluate the bounds on the scalar potential through the unitarity of the scattering-matrix. Considering with and without $\Z_2$-symmetry on the extra triplet, we derive constraints on the parameter space. We identify the region of the parameter space that corresponds to the stability and metastability of the electroweak vacuum. We also show that at large field values the scalar potential of this model is suitable to explain inflation.