The Multiple Point Principle and Extended Higgs Sectors

TL;DR

This paper explores the Multiple Point Principle's implication that the Higgs quartic coupling should vanish at the Planck scale, examining extended Higgs sectors to achieve this while maintaining vacuum stability and consistency with experimental data.

Contribution

It investigates extended Higgs sectors to realize the high-scale boundary condition of a vanishing quartic coupling, addressing vacuum stability and experimental constraints.

Findings

Certain extended Higgs models can satisfy the high-scale boundary condition.

These models maintain vacuum stability up to the Planck scale.

Some scenarios are consistent with LHC and Dark Matter experimental results.

Abstract

The Higgs boson quartic self-coupling in the Standard Model appears to become zero just below the Planck scale, with interesting implications to the stability fo the Higgs vacuum at high energies. We review the Multiple Point Principle that suggests the quartic self-coupling should vanish exactly at the Planck scale. Although this vanishing is not consistent with the Standard Model, we investigate Higgs sectors extended with additional states to test whether one may satisfy the high scale boundary condition while maintaining the observed Higgs mass. We also test these scenarios to ensure the stability of the vacuum at all energies below the the Planck scale and confront them with experimental results from the LHC and Dark Matter experiments.