Sliding Naturalness: Cosmological Selection of the Weak Scale

Abstract

We present a cosmological solution to the electroweak hierarchy problem. After discussing general features of cosmological approaches to naturalness, we extend the Standard Model with two light scalars very weakly coupled to the Higgs and present the mechanism, which we recently introduced in a companion paper to explain jointly the electroweak hierarchy and the strong-CP problem. In this work we show that this solution can be decoupled from the strong-CP problem and discuss its possible implementations and phenomenology. The mechanism works with any standard inflationary sector, it does not require weak-scale inflation or a large number of e-folds, and does not introduce ambiguities related to eternal inflation. The cutoff of the theory can be as large as the Planck scale, both for the Cosmological Constant and for the Higgs sector. Reproducing the observed dark matter relic density fixes the couplings of the two new scalars to the Standard Model, offering a target to future axion or fifth force searches. Depending on the specific interaction of the scalars with the Standard Model, the mechanism either yields rich phenomenology at colliders or provides a novel joint solution to the strong-CP problem. We highlight what predictions are common to most realizations of cosmological selection of the weak scale and will allow to test this general framework in the near future.

41 pages, 11 figures

References in corpus (18)

• Ultralight scalars as cosmological dark matter
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• The Swampland: Introduction and Review
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• Measurement of the permanent electric dipole moment of the neutron
• Searching for dilaton dark matter with atomic clocks
• Stellar cooling bounds on new light particles: plasma mixing effects
• Short-range tests of the equivalence principle
• Lyman-alpha Constraints on Ultralight Scalar Dark Matter: Implications for the Early and Late Universe
• Galaxy UV-luminosity function and reionization constraints on axion dark matter
• High accuracy theoretical investigations of CaF, SrF, and BaF and implications for laser-cooling
• Softened Gravity and the Extension of the Standard Model up to Infinite Energy
• Search for light scalar Dark Matter candidate with AURIGA detector
• Space-based tests of gravity with laser ranging
• Criteria for Natural Hierarchies
• The Weak Scale from BBN
• Predictive Landscapes and New Physics at a TeV
• A landscape for the cosmological constant and the Higgs mass

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