Hierarchies from Landscape Probability Gradients and Critical Boundaries
arXiv:2311.10139 · doi:10.1007/JHEP08(2024)170
Abstract
If the gradient of a probability distribution on a landscape of vacua aligns with the variation of some fundamental parameter, the parameter may be likely to take some non-generic value. Such non-generic values can be associated to critical boundaries, where qualitative changes of the landscape properties happen, or an anthropic bound is located. Assuming the standard volume-weighted and the local probability measures, we discuss ordered landscapes which can produce several types of the aligned probability gradients. The resulting values of the gradients are defined by the "closeness" of a given vacuum to the highest- or the lowest-energy vacuum. Using these ingredients we construct a landscape scanning independently the Higgs mass and the cosmological constant (CC). The probability gradient pushes the Higgs mass to its observed value, where a structural change of the landscape takes place, while the CC is chosen anthropically.
38 pages, 9 figures. Published version, with several clarifications added
References in corpus (60)
- A Large Mass Hierarchy from a Small Extra Dimension
- The Hierarchy Problem and New Dimensions at a Millimeter
- Cosmological Relaxation of the Electroweak Scale
- Higgs as a Holographic Pseudo-Goldstone Boson
- From the Big Bang Theory to the Theory of a Stationary Universe
- A Natural SUSY Higgs Near 125 GeV
- The Composite Nambu-Goldstone Higgs
- A Clockwork Axion
- Observational Consequences of a Landscape
- Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry
- What does inflation really predict?
- Sinks in the Landscape, Boltzmann Brains, and the Cosmological Constant Problem
- Holographic probabilities in eternal inflation
- Relaxion Stars and their detection via Atomic Physics
- Boltzmann brains and the scale-factor cutoff measure of the multiverse
- Stationary Universe
- Phenomenology of relaxion-Higgs mixing
- Predicting the Cosmological Constant from the Causal Entropic Principle
- Cosmological Higgs-Axion Interplay for a Naturally Small Electroweak Scale
- Predicting the cosmological constant with the scale-factor cutoff measure
- Large Hierarchies from Attractor Vacua
- Relaxation from particle production
- Do We Live in the Center of the World?
- A paradox in the global description of the multiverse
- Cosmic Attractors and Gauge Hierarchy
- Towards a gauge invariant volume-weighted probability measure for eternal inflation
- Is the Relaxion an Axion?
- Boltzmann babies in the proper time measure
- Coherent relaxion dark matter
- Probing the Relaxed Relaxion at the Luminosity and Precision Frontiers
- Inflating to the Weak Scale
- Probability Distribution for in Open-universe Inflation
- Dynamics of the cosmological relaxation after reheating
- Stationary Measure in the Multiverse
- Relaxion and light (pseudo)scalars at the HL-LHC and lepton colliders
- Crunching Dilaton, Hidden Naturalness
- The density parameter and the Anthropic Principle
- Hawking-Moss bounces and vacuum decay rates
- Sliding Naturalness
- Sliding Naturalness: Cosmological Selection of the Weak Scale
- Relaxing the Higgs mass and its vacuum energy by living at the top of the potential
- Relaxion: A Landscape Without Anthropics
- Relaxion Fluctuations (Self-stopping Relaxion) and Overview of Relaxion Stopping Mechanisms
- Probing the relaxed relaxion and Higgs-portal with S1 & S2
- Collider searches of scalar singlets across lifetimes
- Gravitational Wave Echo of Relaxion Trapping
- Higgs Criticality beyond the Standard Model
- Mirror Cosmological Relaxation of the Electroweak Scale
- Runaway Relaxion from Finite Density
- Stochastic inflation with an extremely large number of -folds
- Crunching Away the Cosmological Constant Problem: Dynamical Selection of a Small
- Relaxion Dark Matter from Stochastic Misalignment
- Searching for a solar relaxion/scalar with XENON1T and LUX
- The Relaxion Measure Problem
- Early-Time Measure in Eternal Inflation
- Searches for other vacua I: bubbles in our universe
- A landscape for the cosmological constant and the Higgs mass
- A warped relaxion
- The Stochastic Relaxion
- Light Higgs Boson from a Pole Attractor