Classical and Quantum Initial Conditions for Higgs Inflation

Abstract

We investigate whether Higgs inflation can occur in the Standard Model starting from natural initial conditions or not. The Higgs has a non-minimal coupling to the Ricci scalar. We confine our attention to the regime where quantum Einstein gravity effects are small in order to have results that are independent of the ultraviolet completion of gravity. At the classical level we find no tuning is required to have a successful Higgs inflation, provided the initial homogeneity condition is satisfied. On the other hand, at the quantum level we obtain that the renormalization for large non-minimal coupling requires an additional degree of freedom that transforms Higgs inflation into Starobinsky $R^2$ inflation, unless a tuning of the initial values of the running parameters is made.

8 pages, 2 figures; v2: some wording changed and references added

References in corpus (13)

• 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
• The Standard Model Higgs boson as the inflaton
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Higgs inflation: consistency and generalisations
• Power-counting and the Validity of the Classical Approximation During Inflation
• On Inflation with Non-minimal Coupling
• Higgs inflation at the critical point
• Higgs inflation still alive
• Dynamically Induced Planck Scale and Inflation
• A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos
• Bound on largest $r\lesssim 0.1$ from sub-Planckian excursions of inflaton
• When Higgs Meets Starobinsky in the Early Universe

Cited by in corpus (109)

• Cosmic phase transitions: their applications and experimental signatures
• Higgs Scalaron Mixed Inflation
• Violent Preheating in Inflation with Nonminimal Coupling
• Palatini inflation in models with an $R^2$ term
• Inflation with $R^2$ term in the Palatini formalism
• Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Reheating in $R^2$ Palatini inflationary models
• Higgs Starobinsky Inflation
• Planck scale black hole dark matter from Higgs inflation
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• Metastability in Quadratic Gravity
• Minimal Higgs inflation with an $R^2$ term in Palatini gravity
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• Inflationary Perturbations in No-Scale Theories
• On gravitational and thermal corrections to vacuum decay
• Higgs inflation with the Holst and the Nieh-Yan term
• Higgs inflation in the Palatini formulation with kinetic terms for the metric
• Higgs Stability and the 750 GeV Diphoton Excess
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Primordial perturbations generated by Higgs field and $R^2$ operator
• Gravitational waves at aLIGO and vacuum stability with a scalar singlet extension of the Standard Model
• Primordial black hole dark matter in dilaton-extended two-field Starobinsky inflation
• Quasi-Conformal Models and the Early Universe
• Quantum corrections in Higgs inflation: the Standard Model case
• A simple $F(\mathcal{R},\varphi )$ deformation of Starobinsky inflationary model
• Dimensional Transmutation in Gravity and Cosmology
• Perturbativity, vacuum stability and inflation in the light of 750 GeV diphoton excess
• Initial conditions for Inflation in an FRW Universe
• Feebly Interacting Dark Matter Particle as the Inflaton
• Initial Conditions for Critical Higgs Inflation
• Towards distinguishing variants of non-minimal inflation
• Dynamical Emergence of Scalaron in Higgs Inflation
• Two-loop corrections to Starobinsky-Higgs inflation
• Occurrence of Tachyonic Preheating in the Mixed Higgs-$R^2$ Model
• Higgs Inflation as Nonlinear Sigma Model and Scalaron as its $\sigma$-meson
• Enhancement of primordial curvature perturbations in $R^3$-corrected Starobinsky-Higgs inflation
• Solving the Standard Model Problems in Softened Gravity
• Realizing Dark Matter and Higgs Inflation in Light of LHC Diphoton Excess
• A Strong Electroweak Phase Transition from the Inflaton Field
• Higgs inflation and teleparallel gravity
• Phenomenology of the inflation-inspired NMSSM at the electroweak scale
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• Constant-roll in the Palatini-$R^2$ models
• Independent connection in ACTion during inflation
• Initial conditions for plateau inflation: a case study
• Critical point Higgs inflation in the Palatini formulation
• Bounce Inflation Cosmology with Standard Model Higgs Boson
• Scalaron-Higgs inflation reloaded: Higgs-dependent scalaron mass and primordial black hole dark matter
• Higgs inflation and quantum gravity: An exact renormalisation group approach
• On UV-completion of Palatini-Higgs inflation
• Reheating and Dark Matter Freeze-in in the Higgs-$R^2$ Inflation Model
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Higgs-$R^2$ inflation -- full slow-roll study at tree-level
• Critical Higgs inflation in a Viable Motivated Model
• The Inflaton that Could : Primordial Black Holes and Second Order Gravitational Waves from Tachyonic Instability induced in Higgs-$R^2$ Inflation
• Progress in Higgs inflation
• Renormalization Group independence of Cosmological Attractors
• BICEP/Keck data and Quadratic Gravity
• Renormalization Group Equations of Higgs-$R^2$ Inflation
• Symmetron and de Sitter attractor in a teleparallel model of cosmology
• Magnetogenesis in Higgs-Starobinsky inflation
• Light scalaron as dark matter
• Models of LHC Diphoton Excesses Valid up to the Planck scale
• Perturbative Reheating in the Mixed Higgs-$R^2$ Model
• Further refining Swampland Conjecture on inflation in general scalar-tensor theories of gravity
• UV completion of the Starobinsky model, tensor-to-scalar ratio, and constraints on non-locality
• Can Dark Matter be an artifact of extended theories of gravity?
• Natural-Scalaron Inflation
• Axion Quality Problem Alleviated by Non-Minimal Coupling to Gravity
• Integrable modified gravity cosmological models with an additional scalar field
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Conformal GUT inflation, proton lifetime and non-thermal leptogenesis
• Initial conditions for the scalaron dark matter
• The Higgs of the Higgs and the diphoton channel
• Unification of inflation and dark matter in the Higgs-Starobinsky model
• Higgs field in cosmology
• Testing scale-invariant inflation against cosmological data
• The $R^2$-Higgs inflation: $R^3$ contribution and preheating after ACT and SPT data
• Saddle point inflation from higher order corrections to Higgs/Starobinsky inflation
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Ultraviolet Unitarity Violations in Non-minimally Coupled Scalar-Starobinsky Inflation
• Non-local Starobinsky inflation in the light of future CMB
• Conformal Portal to Dark Matter
• Natural Higgs Inflation, Gauge Coupling Unification, and Neutrino Masses
• Inflation and pseudo-Goldstone Higgs boson
• Ultraviolet Sensitivity in Higgs-Starobinsky Inflation
• Non-minimally assisted chaotic inflation
• Adiabatic regularisation of power spectra in nonminimally coupled chaotic inflation
• Warm Higgs-Starobinsky inflation
• Quantum gravitational corrections to the inflationary power spectra in scalar-tensor theories
• Axion-Sterile-Neutrino Dark Matter
• (Multi-field) Natural Inflation and Gravitational Waves
• Hybrid metric-Palatini Higgs inflation
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• Covariant Effective Action for Scalar-Tensor Theories of Gravity
• Primordial black holes save $R^2$ inflation
• Darkflation -- one scalar to rule them all?
• Hearing Higgs with Gravitational Wave Detectors
• The Higgs field and the resolution of the Cosmological Constant Paradox in the Weyl geometrical Universe
• Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity
• Gravitational waves from a first-order phase transition of the inflaton
• Unified dynamical system formulations for $f(R,\varphi ,X)$ gravity with applications to nonminimal derivative coupling and $R^2$-Higgs inflation
• Inflation and Supersymmetry Breaking in Higgs-$R^2$ Supergravity
• Trans-Planckian quantum corrections and inflationary vacuum fluctuations of non-minimally coupled scalar fields
• On Inflation and Reheating Features in the Higgs-$R^2$ Model
• Non-minimally coupled quintessential inflation
• The $R^2$-Higgs inflation with two Higgs doublets