Radiative PQ Breaking and the Higgs Boson Mass

Abstract

The small and negative value of the Standard Model Higgs quartic coupling at high scales can be understood in terms of anthropic selection on a landscape where large and negative values are favored: most universes have a very short-lived electroweak vacuum and typical observers are in universes close to the corresponding metastability boundary. We provide a simple example of such a landscape with a Peccei-Quinn symmetry breaking scale generated through dimensional transmutation and supersymmetry softly broken at an intermediate scale. Large and negative contributions to the Higgs quartic are typically generated on integrating out the saxion field. Cancellations among these contributions are forced by the anthropic requirement of a sufficiently long-lived electroweak vacuum, determining the multiverse distribution for the Higgs quartic in a similar way to that of the cosmological constant. This leads to a statistical prediction of the Higgs boson mass that, for a wide range of parameters, yields the observed value within the 1$\sigma$ statistical uncertainty of $\sim$ 5 GeV originating from the multiverse distribution. The strong CP problem is solved and single-component axion dark matter is predicted, with an abundance that can be understood from environmental selection. A more general setting for the Higgs mass prediction is discussed.

arXiv comment30 pages, 10 figures; v2, JHEP version

References in corpus (29)

• Gaugino Mass without Singlets
• Higgs mass and vacuum stability in the Standard Model at NNLO
• Investigating the near-criticality of the Higgs boson
• The Next-to-Minimal Supersymmetric Standard Model
• Higgs mass implications on the stability of the electroweak vacuum
• Phenomenological consequences of supersymmetry with anomaly-induced masses
• Dimensionless constants, cosmology and other dark matters
• Naturalness Versus Supersymmetric Non-renormalization Theorems
• The anthropic principle and the mass scale of the Standard Model
• Likely Values of the Cosmological Constant
• Precise Vacuum Stability Bound in the Standard Model
• Singlet-Doublet Dark Matter
• Planck Scale Boundary Conditions and the Higgs Mass
• Update of axion CDM energy density
• The Minimal Model for Dark Matter and Unification
• Predicting the Cosmological Constant from the Causal Entropic Principle
• Dark matter and Higgs boson physics
• LHC and Dark Matter Signals of Improved Naturalness
• The Weak Scale from BBN
• Anthropic Explanation of the Dark Matter Abundance
• A geometric solution to the coincidence problem, and the size of the landscape as the origin of hierarchy
• The Cosmological Axino Problem
• Grand Unification, Axion, and Inflation in Intermediate Scale Supersymmetry
• Geometric origin of coincidences and hierarchies in the landscape
• Grand Unification and Intermediate Scale Supersymmetry
• Updated Axion CDM energy density
• Why Comparable? A Multiverse Explanation of the Dark Matter-Baryon Coincidence
• Multiverse Dark Matter: SUSY or Axions
• Simultaneous Solutions of the Strong CP and Mu Problems

Cited by in corpus (6)

• When the Universe Expands Too Fast: Relentless Dark Matter
• QCD Axion Dark Matter with a Small Decay Constant
• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Interplay of Infrared Divergences and Gauge-Dependence of the Effective Potential
• Revisiting Isocurvature Bounds on the Minimal QCD Axion
• The Supersymmetric R-Parity Violating Dine-Fischler-Srednicki-Zhitnitsky Axion Model