The Multiple Point Principle and Extended Higgs Sectors

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.

Review, 22 pages, 9 figures. Version accepted for publication

References in corpus (26)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Results from a search for dark matter in the complete LUX exposure
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• micrOMEGAs4.1: two dark matter candidates
• Complex Singlet Extension of the Standard Model
• Status of the Higgs Singlet Extension of the Standard Model after LHC Run 1
• FlexibleSUSY -- A spectrum generator generator for supersymmetric models
• Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
• Quantum gravity and charge renormalization
• A study of electroweak vacuum metastability with a singlet scalar dark matter
• Exploring collider signatures of the inert Higgs doublet model
• Predictions on mass of Higgs portal scalar dark matter from Higgs inflation and flat potential
• Weak Gravity Conjecture, Multiple Point Principle and the Standard Model Landscape
• Revisiting fine-tuning in the MSSM
• The Planck scale, the Higgs mass and scalar dark matter
• Multiple Point Principle of the Standard Model with Scalar Singlet Dark Matter and Right Handed Neutrinos
• Implementation of the Multiple Point Principle in the Two-Higgs Doublet Model of type II
• Vanishing Higgs potential at the Planck scale in a singlet extension of the standard model
• Fixed point scenario in the Two Higgs Doublet Model inspired by degenerate vacua
• Gravitational effects on vanishing Higgs potential at the Planck scale
• Gauge-Invariant Quantum Gravity Corrections to Gauge Couplings via Vilkovisky-DeWitt Method and Gravity Assisted Gauge Unification
• The Multiple Point Principle and Higgs Bosons
• Multiple Point Principle of the Gauged B-L Model
• Multiple point principle as a mechanism for the suppression of FCNC and CP--violation phenomena in the 2HDM
• New Resonances at LHC are possible. Multiple Point Principle and New Bound States in the Standard Model