Preserving the validity of the Two-Higgs Doublet Model up to the Planck scale

TL;DR

This paper investigates the parameter space of the general Two-Higgs Doublet Model to ensure its stability and perturbativity up to the Planck scale, aligning with the observed 125 GeV Higgs boson.

Contribution

It identifies robust regions of the 2HDM parameter space that remain valid up to the Planck scale using basis independent techniques and flavor alignment.

Findings

Stable and perturbative 2HDM regimes up to the Planck scale.

Implications for the heavy scalar spectrum.

Constraints on the scalar potential and Yukawa sector.

Abstract

We examine the constraints on the two Higgs doublet model (2HDM) due to the stability of the scalar potential and absence of Landau poles at energy scales below the Planck scale. We employ the most general 2HDM that incorporates an approximately Standard Model (SM) Higgs boson with a flavor aligned Yukawa sector to eliminate potential tree-level Higgs-mediated flavor changing neutral currents. Using basis independent techniques, we exhibit robust regimes of the 2HDM parameter space with a 125 GeV SM-like Higgs boson that is stable and perturbative up to the Planck scale. Implications for the heavy scalar spectrum are exhibited.