Fitting the two-loop renormalized Two-Higgs-Doublet model

TL;DR

This paper performs comprehensive global fits of the Two-Higgs-Doublet model with a softly broken Z2 symmetry, incorporating LHC data and addressing theoretical issues like vacuum stability and hierarchy problem at two-loop order.

Contribution

It provides the first detailed two-loop renormalized analysis of the Two-Higgs-Doublet model, constraining parameter space with experimental data and theoretical consistency.

Findings

Parameter space is significantly constrained by combined theoretical and experimental inputs.

Vacuum stability is maintained within the allowed parameter regions.

Hierarchy problem considerations are addressed at two-loop order.

Abstract

We present global fits to the Two-Higgs-Doublet model, assuming a softly broken $Z_2$ symmetry of the types I and II and CP conservation in the scalar potential. We show how much the parameter space is constrained by the combination of the relevant theoretical and experimental inputs, including the LHC data after the first run and interpreting the 125 GeV boson as the light CP even Higgs. Using the next-to-leading order renormalization group equations, we address the questions of vacuum stability and the hierarchy problem in the context of the mentioned Two-Higgs-Doublet models.