Running Inflation in the Standard Model

Abstract

An interacting scalar field with largish coupling to curvature can support a distinctive inflationary universe scenario. Previously this has been discussed for the Standard Model Higgs field, treated classically or in a leading log approximation. Here we investigate the quantum theory using renormalization group methods. In this model the running of both the effective Planck mass and the couplings is important. The cosmological predictions are consistent with existing WMAP5 data, with 0.967 < n_s < 0.98 (for N_e = 60) and negligible gravity waves. We find a relationship between the spectral index and the Higgs mass that is sharply varying for m_h ~ 120-135 GeV (depending on the top mass); in the future, that relationship could be tested against data from PLANCK and LHC. We also comment briefly on how similar dynamics might arise in more general settings, and discuss our assumptions from the effective field theory point of view.

arXiv comment17 pages in Phys Lett B format, 5 figures; v3: updated to match published version, includes new Appendix B on EFT

References in corpus (26)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Quantum Gravity at a Lifshitz Point
• The Standard Model Higgs boson as the inflaton
• Towards Inflation in String Theory
• Ghost Inflation
• On the Naturalness of Higgs Inflation
• Inflation scenario via the Standard Model Higgs boson and LHC
• Power-counting and the Validity of the Classical Approximation During Inflation
• D-Term Inflation
• Standard Model Higgs boson mass from inflation
• On initial conditions for the Hot Big Bang
• Preheating in the Standard Model with the Higgs-Inflaton coupled to gravity
• String Cosmology: A Review
• Primordial Spectral Indices from Generalized Einstein Theories
• The Standard Model Effective Potential at Two Loops
• Cosmological implications of the Higgs mass measurement
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• Gravitational corrections to Standard Model vacuum decay
• The renormalization group for non-renormalizable theories: Einstein gravity with a scalar field
• Effective equations of motion and initial conditions for inflation in quantum cosmology
• (No) Eternal Inflation and Precision Higgs Physics
• When can the Planck satellite measure spectral index running?
• Higgs Boson Properties in the Standard Model and its Supersymmetric Extensions
• Running Inflation

Cited by in corpus (313)

• Higgs mass and vacuum stability in the Standard Model at NNLO
• Encyclopaedia Inflationaris
• Universality Class in Conformal Inflation
• Higgs inflation: consistency and generalisations
• Standard Model Higgs boson mass from inflation: two loop analysis
• Power-counting and the Validity of the Classical Approximation During Inflation
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Standard Model Higgs boson mass from inflation
• Asymptotic safety of gravity and the Higgs boson mass
• On initial conditions for the Hot Big Bang
• Preheating in the Standard Model with the Higgs-Inflaton coupled to gravity
• Comment on Higgs Inflation and Naturalness
• Particle physics models of inflation and curvaton scenarios
• On Inflation with Non-minimal Coupling
• Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
• Stabilization of the Electroweak Vacuum by a Scalar Threshold Effect
• Superconformal Symmetry, NMSSM, and Inflation
• Gauge singlet scalar as inflaton and thermal relic dark matter
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Higgs inflation at the critical point
• On Stability of the Electroweak Vacuum and the Higgs Portal
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• Living beyond the edge: Higgs inflation and vacuum metastability
• Unitarizing Higgs Inflation
• Higgs inflation
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• Standard Model-Axion-Seesaw-Higgs Portal Inflation. Five problems of particle physics and cosmology solved in one stroke
• Question of quantum equivalence between Jordan frame and Einstein frame
• Jordan Frame Supergravity and Inflation in NMSSM
• Measurement of the top quark mass using proton-proton data at sqrt(s) = 7 and 8 TeV
• Conformal Transformations with Multiple Scalar Fields
• Higgs boson, renormalization group, and naturalness in cosmology
• The Higgs field as an inflaton
• Renormalization Group Flow in Scalar-Tensor Theories. I
• Higgs G-inflation
• Equivalence of the Einstein and Jordan frames
• Higgs inflation from Standard Model criticality
• Higgs Inflation and Naturalness
• Exploring Cosmic Origins with CORE: Inflation
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Higgs inflation with loop corrections in the Palatini formulation
• Observational consequences of chaotic inflation with nonminimal coupling to gravity
• Inflation with Non-minimal Gravitational Couplings and Supergravity
• Superconformal Generalization of the Chaotic Inflation Model λϕ^4/4 - ξ/ 2 ϕ^2 R
• Supergravity based inflation models: a review
• Palatini inflation in models with an $R^2$ term
• Higgs-Dilaton Cosmology: an effective field theory approach
• Tensor to Scalar Ratio in Non-Minimal ${\varphi }^4$ Inflation
• Measurement of the top quark mass in the $t\bar{t}\to$ lepton+jets channel from $\sqrt{s}=8$ TeV ATLAS data and combination with previous results
• Selected topics in scalar-tensor theories and beyond
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• A Unitarity-Conserving Higgs Inflation Model
• Generalized Higgs inflation
• Chaotic inflation in Jordan frame supergravity
• Higgs Portal Inflation
• On the robustness of the primordial power spectrum in renormalized Higgs inflation
• Planck scale black hole dark matter from Higgs inflation
• Higgs Dynamics during Inflation
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• Inflation and non-minimal scalar-curvature coupling in gravity and supergravity
• Distinguishing between R^2-inflation and Higgs-inflation
• The Standard Model Higgs Boson-Inflaton and Dark Matter
• F(R) gravity and inflation
• Measurement of the top quark mass in the $t\bar{t}\to$ dilepton channel from $\sqrt{s}=8$ TeV ATLAS data
• Metric-affine Gravity and Inflation
• Multifield Dynamics of Higgs Inflation
• One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results
• Generation of the Higgs Condensate and Its Decay after Inflation
• Inflation after Planck: Judgment Day
• Self-healing of unitarity in Higgs inflation
• Combined Preheating on the lattice with applications to Higgs inflation
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis
• Inflationary universe from higher-derivative quantum gravity
• Remarks on Higgs Inflation
• Higgs inflation in the Palatini formulation with kinetic terms for the metric
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Quantum Effects in Palatini Higgs Inflation
• Higgs inflation at the hilltop
• Quantum corrections in Higgs inflation: the real scalar case
• The Higgs Portal to Cosmology
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Measurement of the top quark mass in the $t\bar{t}\to \mathrm{lepton}+\mathrm{jets}$ and $t\bar{t}\to \mathrm{dilepton}$ channels using $\sqrt{s}=7$ TeV ATLAS data
• Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• UV (in)sensitivity of Higgs inflation
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
• Renormalization Group Flow in Scalar-Tensor Theories. II
• Higgs Inflation at NNLO after the Boson Discovery
• Distinguishing Higgs inflation and its variants
• Integrable cosmological models with non-minimally coupled scalar fields
• Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Late and early time phenomenology of Higgs-dependent cutoff
• Determination of the top quark mass circa 2013: methods, subtleties, perspectives
• Reconstructing the inflationary $f(R)$ from observations
• Tunneling cosmological state revisited: Origin of inflation with a non-minimally coupled Standard Model Higgs inflaton
• WIMP Dark Matter and Unitarity-Conserving Inflation via a Gauge Singlet Scalar
• A simple $F(\mathcal{R},\varphi )$ deformation of Starobinsky inflationary model
• On the Predictiveness of Single-Field Inflationary Models
• Quantum corrections in Higgs inflation: the Standard Model case
• Higgs-Dilaton cosmology: Universality vs. criticality
• Chaotic inflation in modified gravitational theories
• Gravitational Interaction of Higgs Boson and Weak Boson Scattering
• A Minimal Inflation Scenario
• Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action
• Precision measurement of the top-quark mass in lepton+jets final states
• Higgs inflation in minimal supersymmetric SU(5) GUT
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• The Higgs mass range from Standard Model false vacuum Inflation in scalar-tensor gravity
• Exploring the Hyperchargeless Higgs Triplet Model up to the Planck Scale
• Minimal Composite Inflation
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Inflation and dark matter in two Higgs doublet models
• Feebly Interacting Dark Matter Particle as the Inflaton
• Effective Potential in Curved Space and Cut-Off Regularizations
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Non-Minimal Sneutrino Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis
• Unitarity-violation in Generalized Higgs Inflation Models
• Dynamical Emergence of Scalaron in Higgs Inflation
• Initial Conditions for Critical Higgs Inflation
• The Observational Status of Simple Inflationary Models: an Update
• Towards distinguishing variants of non-minimal inflation
• Non-Minimal B-L Inflation with Observable Gravity Waves
• Non-Minimally Gravity-Coupled Inflationary Models
• Composite Inflation Setup and Glueball Inflation
• Extending Higgs Inflation with TeV Scale New Physics
• Unifying darko-lepto-genesis with scalar triplet inflation
• Reconstruction of Scalar Potentials in Modified Gravity Models
• A Strong Electroweak Phase Transition from the Inflaton Field
• Inflection point inflation and reheating
• Realizing Dark Matter and Higgs Inflation in Light of LHC Diphoton Excess
• Is Higgs Inflation Dead?
• WIMP Dark Matter Inflation with Observable Gravity Waves
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Running inflation with unitary Higgs
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Higgs inflation from new Kähler potential
• Non-Minimal Inflation Revisited
• Inflection-point Higgs Inflation
• Non-minimally coupled quartic inflation with Coleman-Weinberg one-loop corrections in the Palatini formulation
• Constant-roll in the Palatini-$R^2$ models
• Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration
• Non-Minimal Two-Loop Inflation
• Interdependence between integrable cosmological models with minimal and non-minimal coupling
• Scalar-tensor linear inflation
• Unitarity bounds on low scale quantum gravity
• 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
• Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
• One-loop divergences for $f(R)$ gravity
• Higgs inflation and quantum gravity: An exact renormalisation group approach
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• GUT Scalar Potentials for Higgs Inflation
• The Problem with False Vacuum Higgs Inflation
• Dynamical analysis of generalised $f(R,\mathcal{L})$ theories
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Low Scale Higgs Inflation with Gauss-Bonnet Coupling
• What $\xi$? Cosmological constraints on the non-minimal coupling constant
• Origin of inflation in CFT driven cosmology: $R^2$-gravity and non-minimally coupled inflaton models
• Ruling out Critical Higgs Inflation?
• Testing non-minimally coupled inflation with CMB data: a Bayesian analysis
• Observational signatures of Higgs inflation
• Inflection-point inflation in hyper-charge oriented U(1)${}_X$ model
• Cosmological Perturbations from the Standard Model Higgs
• Note on Non-Gaussianities in Two-field Inflation
• Field redefinitions, perturbative unitarity and Higgs inflation
• The Inflaton that Could : Primordial Black Holes and Second Order Gravitational Waves from Tachyonic Instability induced in Higgs-$R^2$ Inflation
• Uniqueness of the gauge invariant action for cosmological perturbations
• A minimal model of inflation and dark radiation
• Progress in Higgs inflation
• Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• Renormalization Group independence of Cosmological Attractors
• Goldstone bosons and a dynamical Higgs field
• Non-thermal production of Dark Matter after Inflation
• Cosmological dynamics with non-minimally coupled scalar field and a constant potential function
• Higgs-portal assisted Higgs inflation with a sizeable tensor-to-scalar ratio
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Multiple point criticality principle and Coleman-Weinberg inflation
• Shift Symmetry and Higgs Inflation in Supergravity with Observable Gravitational Waves
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Non-minimal quartic inflation in classically conformal U(1)${}_X$ extended Standard Model
• On the number of $e$-folds in the Jordan and Einstein frames
• The Higgs field and early universe cosmology: a (brief) review
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Planck constraints on Higgs modulated reheating of renormalization group improved inflation
• Kähler-driven Tribrid Inflation
• Dynamical Dark Energy and Spontaneously Generated Gravity
• Asymptotically Safe Higgs Inflation
• A new extended quintessence
• Hybrid Higgs Inflation: The Use of Disformal Transformation
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Dynamical analysis of nonminimal coupled theories
• Asymptotic Scale Invariance and its Consequences
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• The spectral action and cosmic topology
• Precise measurement of the top quark mass in dilepton decays using optimized neutrino weighting
• Quantum Corrections to Inflaton and Curvaton Dynamics
• Singular deformations of nearly $R^2$ inflation potentials
• Rate of gravitational inflaton decay via gauge trace anomaly
• Multifield dynamics of supersymmetric Higgs inflation in SU(5) GUT
• Electroweak vacuum stability and inflation via non-minimal derivative couplings to gravity
• Supersymmetric standard model inflation in the Planck era
• Precision measurement of the top-quark mass in lepton+jets final states
• Gauged Nambu-Jona-Lasinio inflation
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Gravitational modulated reheating and non-Gaussianity in Supergravity R^2 inflation
• Extended interactions in the Palatini-$R^2$ inflation
• Higgs-lepton inflation in the supersymmetric minimal seesaw model
• Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology
• On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling
• Asymptotically Safe Non-Minimal Inflation
• Inflation from a No-scale supersymmetric $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$ model
• Note on stability in conformally connected frames
• Non-Minimal Chaotic Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis
• Combination of measurements of the top quark mass from data collected by the ATLAS and CMS experiments at $\sqrt{s}$ = 7 and 8 TeV
• Cuscuta-Galileon cosmology: Dynamics, gravitational "constant"s and the Hubble Constant
• Cosmological Constraints on the Higgs Boson Mass
• Strong Dynamics and Inflation: a review
• Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity
• Higgs field in cosmology
• CFT driven cosmology and conformal higher spin fields
• Quantum gravitational corrections from the Wheeler-DeWitt equation for scalar-tensor theories
• Vacuum stability in the Standard Model with vector-like fermions
• Low scale leptogenesis in a hybrid model of the scotogenic type I and III seesaw
• Matching and running sensitivity in non-renormalizable inflationary models
• Discrepancy between cosmological and electroweak observables in Higgs Inflation
• Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model
• Naturalness in Higgs inflation in a frame independent formalism
• Inflation due to a non-minimal coupling of singlet scalars in the radiative seesaw model
• Quantum cosmological consistency condition for inflation
• MSSM-inspired multifield inflation
• Very low scale Coleman-Weinberg inflation with non-minimal coupling
• Hyperbolic Inflation
• Gravitino Dark matter, Non Thermal Leptogenesis and Low reheating temperature in No-scale Higgs Inflation
• Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology
• Higgs Inflation in f(Φ,R) Theory
• Baryogenesis from combined Higgs - scalar field inflation
• New type of hill-top inflation
• Supersymmetric B-L inflation near the conformal coupling
• Connecting between inflation and dark matter in models with gauged $Z_3$ symmetry
• The MSSM inflation and cosmological attractors
• Observational consequences of the Standard Model Higgs inflation variants
• FRW Cosmology with Non-positively Defined Higgs Potentials
• Higgs Boson in RG running Inflationary Cosmology
• Realistic Inflation in No-Scale $U(1{)}_R$ Symmetric Flipped $SU(5)$
• Quantum Cosmology and the Inflationary Spectra from a Non-Minimally Coupled Inflaton
• Natural Higgs Inflation, Gauge Coupling Unification, and Neutrino Masses
• The non-minimal coupling constant and the primordial de Sitter state
• Coupled scalar fields in a flat FRW universe: renormalisation
• Inflation and DM phenomenology in a scotogenic model extended with a real singlet scalar
• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• Higgs inflation in a radiative seesaw model
• Inflationary Dynamics in Einstein-Gauss-Bonnet Gravity Using New Slow-Roll Approximations considering Generalised Reheating
• Higgs inflation in Gauss-Bonnet braneworld
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Quantum gravitational corrections to the inflationary power spectra in scalar-tensor theories
• Inflation, electroweak phase transition, and Higgs searches at the LHC in the two-Higgs-doublet model
• Magnetogenesis in Higgs inflation
• Higgs-mass predictions
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
• Non-minimal Higgs inflation within holographic cosmology
• Induced Gravity and Quantum Cosmology
• Radiative-Corrected Higgs Inflation in Light of the Latest ACT Observations
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• The 750 GeV Resonance as Non-Minimally Coupled Inflaton: Unitarity Violation and Why the Resonance is a Real Singlet Scalar
• Running Non-Minimal Inflation with Stabilized Inflaton Potential
• General solutions of integrable cosmological models with non-minimal coupling
• Supersymmetric hybrid inflation with non-minimal coupling to gravity
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Thermal Loop Effects on Large-Scale Curvature Perturbation in the Higgs Inflation
• Non-minimal Higgs-gravity coupling and naturalness at the LHC and beyond
• Pseudo-Periodic Natural Higgs Inflation
• A new generic and structurally stable cosmological model without singularity
• Renormalization-group improved inflationary scenarios
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Higgs Boson Mass Bounds in Seesaw Extended Standard Model with Non-Minimal Gravitational Coupling
• Primordial Black Holes in Induced Gravity Inflationary Models with Two Scalar Fields
• Measurement of the top quark mass with the ATLAS detector using $t\bar{t}$ events with a high transverse momentum top quark
• Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension
• Higgs Inflation in Unimodular Gravity
• Minimal scenario of Criticality for Electroweak scale, Neutrino Masses, Dark Matter, and Inflation
• On the resilience of the gravitational variational principle under renormalization
• Recent theoretical progress in top quark pair production at hadron colliders
• Possible relationship between initial conditions for inflation and past geodesic incompleteness of the inflationary spacetime
• Lessons from $T_{\mu }^{\mu }$ on inflation models: two-loop renormalization of $\eta$ in the scalar QED
• Low-energy probes of small CMB amplitude in models of radiative Higgs mechanism
• De Sitter ground state of scalar-tensor gravity and its primordial perturbation
• Can Higgs Inflation be Saved with High-scale Supersymmetry ?
• On possible composite structure of scalar fields in expanding universe
• Decoupling of Higgs boson from the inflationary stage of Universe evolution
• The Standard Model from the LHC to future colliders: a contribution to the Workshop "What Next" of INFN
• What can quantum cosmology say about the inflationary universe?
• Derivative coupling of inflaton to $R^{(3)}$
• On non-minimal coupling of the inflaton
• Hubble Diagrams in the Jordan and Einstein Frames
• Quantum black holes and effective quantum gravity approaches
• Higgs Inflation on Braneworld
• Some aspects of modified theory of gravity in Palatini formalism unveiled
• Intrinsic Quantum Mechanics. Particle physics applications on U(3) and U(2)
• A Menagerie of Wormholes and Cosmologies in the Gravitational Path Integral
• Supersymmetric Inflation with the Ordinary Higgs?
• Gauge coupling jump and small instantons from a large non-minimal coupling
• Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field
• How many new particles do we need after the Higgs boson?
• The $R^2$-Higgs inflation with two Higgs doublets
• Scalar field cosmology -- toward description of dynamic complexity of cosmological evolution