High Scale Boundary Conditions in Models with Two Higgs Doublets

TL;DR

This paper explores high scale boundary conditions in two Higgs doublet models, examining scenarios like the Multiple Point Principle and Asymptotic Safety, and finds compatibility with the latter but not the former.

Contribution

It analyzes the viability of high scale boundary conditions in two Higgs doublet models under different UV physics scenarios using two-loop renormalization group equations.

Findings

Neither model supports the MPP with realistic Higgs and top masses.

Regions compatible with Asymptotic Safety are identified.

The study constrains parameter space based on theoretical and experimental data.

Abstract

We investigate high scale boundary conditions on the quartic Higgs-couplings and their $\beta$-functions in the Type-II Two Higgs Doublet Model and the Inert Doublet Model. These conditions are associated with two possible UV physics scenarios: the Multiple Point Principle, in which the potential exhibits a second minimum at $M_{Pl}$, and Asymptotic Safety, where the scalar couplings run towards an interacting UV fixed point at high scales. We employ renormalisation group running at two-loops and apply theoretical and experimental constraints to their parameter spaces. We find neither model can simultaneously accommodate the MPP whilst also providing realistic masses for both the Higgs and the top quark. However, we do find regions of parameter space compatible with Asymptotic Safety.