Classically Scale Invariant Inflation, Supermassive WIMPs, and Adimensional Gravity

Abstract

We introduce a minimal and yet comprehensive framework with $CP$- and classical scale-symmetries, in order to simultaneously address the hierarchy problem, neutrino masses, dark matter, and inflation. One complex gauge singlet scalar and three flavors of the right-handed Majorana neutrinos are added to the standard model content, facilitating the see-saw mechanism, among others. An adimensional theory of gravity (Agravity) is employed, allowing for the trans-Planckian field excursions. The weak and Planck scales are induced by the Higgs portal and the scalar non-minimal couplings, respectively, once a Coleman-Weinberg dynamically-generated vacuum expectation value for the singlet scalar is obtained. All scales are free from any mutual quadratic destabilization. The $CP$-symmetry prevents a decay of the pseudoscalar singlet, rendering it a suitable WIMPzilla dark matter candidate with the correct observational relic abundance. Identifying the pseudo-Nambu-Goldstone boson of the (approximate) scale symmetry with the inflaton field, the model accommodates successful slow-roll inflation, compatible with the observational data. We reach the conclusion that a pseudo-Nambu-Goldstone inflaton, within a classically scale-symmetric framework, yields lighter WIMPzillas.

26 pages, 11 figures, 1 table. Published version. Title modification per journal's request

References in corpus (17)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Conformal Transformations with Multiple Scalar Fields
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• The Minimal Scale Invariant Extension of the Standard Model
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Top mass determination, Higgs inflation, and vacuum stability
• Softened Gravity and the Extension of the Standard Model up to Infinite Energy
• Embedding inflation into the Standard Model - more evidence for classical scale invariance
• Inflation from Broken Scale Invariance
• Higgs Partner Searches and Dark Matter Phenomenology in a Classically Scale Invariant Higgs Boson Sector
• Small Field Coleman-Weinberg Inflation driven by Fermion Condensate
• Criticality and Inflation of the Gauged B-L Model
• Strongly First-Order Electroweak Phase Transition and Classical Scale Invariance
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Spiral Inflation with Coleman-Weinberg Potential
• Large tensor-to-scalar ratio and running of the scalar spectral index with Instep Inflation

Cited by in corpus (38)

• Palatini inflation in models with an $R^2$ term
• Agravity up to infinite energy
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Selected topics in scalar-tensor theories and beyond
• Dark Matter from a Classically Scale-Invariant $SU(3{)}_X$
• Quantum mechanics of 4-derivative theories
• Conformal model for gravitational waves and dark matter: A status update
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Inflationary Perturbations in No-Scale Theories
• Dynamically induced Planck scale and inflation in the Palatini formulation
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Constant-Roll (Quasi-)Linear Inflation
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
• Super-Heavy Dark Matter - Towards Predictive Scenarios from Inflation
• Snowmass2021 Cosmic Frontier White Paper: Ultraheavy particle dark matter
• Planck mass and inflation as consequences of dynamically broken scale invariance
• Evolving Planck Mass in Classically Scale-Invariant Theories
• Natural Inflation with Hidden Scale Invariance
• Scalar-tensor linear inflation
• Scale Invariant FIMP Miracle
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• Multiple point criticality principle and Coleman-Weinberg inflation
• Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
• Unified Emergence of Energy Scales and Cosmic Inflation
• Testing scale-invariant inflation against cosmological data
• Inflation and primordial gravitational waves in scale-invariant quadratic gravity with Higgs
• Inflation with Massive Spin-2 Ghosts
• Inflation and dark matter after spontaneous Planck scale generation by hidden chiral symmetry breaking
• Radiative Plateau Inflation with Conformal Invariance: Dynamical Generation of Electroweak and Seesaw Scales
• Dark matter and Standard Model reheating from conformal GUT inflation
• A Realization of Slow Roll Inflation and the MSSM in Supergravity Theories with New Fayet-Iliopoulos Terms
• Dynamical generation of electroweak scale from the conformal sector: A strongly coupled Higgs via the Dyson--Schwinger approach
• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications
• Models of ultra-heavy dark matter visible to macroscopic mechanical sensing arrays
• Classically Scale Invariant Inflation and (A)gravity
• Non-perturbative Origin of Electroweak Scale via Higgs-portal: Dyson-Schwinger in Conformally Invariant Scalar Sector
• Non-perturbative Origin of the Electroweak Scale: RGE in Strongly-coupled Dark Gauge Theories via Dyson-Schwinger