A landscape for the cosmological constant and the Higgs mass

Abstract

The cosmological constant and the Higgs mass seem unnaturally small and anthropically selected. We show that both can be efficiently scanned in Quantum Field Theories with a large enough number of vacua controllable thanks to approximated ${\mathbb{Z}}_2$ symmetries (even for Coleman-Weinberg potentials). We find that vacuum decay in a landscape implies weaker bounds than previously estimated. Special vacua where one light scalar is accidentally light avoid catastrophic vacuum decay if its self-cubic is absent. This is what happens for the Higgs doublet, thanks to gauge invariance. Yukawa couplings can be efficiently scanned, as suggested by anthropic boundaries on light quark masses. Finally, we suggest that the lack of predictivity of landscapes can be mitigated if their probability distributions are non-Gaussian (possibly even fractal).

arXiv comment22 pages, 5 figures

References in corpus (21)

• de Sitter Vacua in String Theory
• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• Investigating the near-criticality of the Higgs boson
• Distributions of flux vacua
• On the metastability of the Standard Model vacuum
• Agravity
• The anthropic principle and the mass scale of the Standard Model
• Computational complexity of the landscape I
• Agravity up to infinite energy
• The Wasteland of Random Supergravities
• General Solutions for Tunneling of Scalar Fields with Quartic Potentials
• Cosmology From Random Multifield Potentials
• Evidence for the Multiverse in the Standard Model and Beyond
• (Higgs) vacuum decay during inflation
• Tumbling through a landscape: Evidence of instabilities in high-dimensional moduli spaces
• A Fresh Look at the Calculation of Tunneling Actions
• The Weak Scale from BBN
• A Global View on The Search for de-Sitter Vacua in (type IIA) String Theory
• A Fresh Look at the Calculation of Tunneling Actions in Multi-Field Potentials
• Populating the Whole Landscape
• Direct anthropic bound on the weak scale from supernovae explosions

Cited by in corpus (7)

• Sliding Naturalness: Cosmological Selection of the Weak Scale
• Relaxing the Higgs mass and its vacuum energy by living at the top of the potential
• Vacuum Stability vs. Positivity in Real Singlet Scalar Extension of the Standard Model
• Small cosmological constant from a peculiar inflaton potential
• Hierarchies from Landscape Probability Gradients and Critical Boundaries
• The collider landscape: which collider for establishing the SM instability?
• Is nature natural?