The Observational Status of Simple Inflationary Models: an Update

Abstract

We provide an update on five relatively well motivated inflationary models in which the inflaton is a Standard Model singlet scalar field. These include i) the textbook quadratic and quartic potential models but with additional couplings of the inflaton to fermions and bosons, which enable reheating and also modify the naive predictions for the scalar spectral index $n_s$ and $r$, ii) models with Higgs and Coleman-Weinberg potentials, and finally iii) a quartic potential model with non-minimal coupling of the inflaton to gravity. For $n_s$ values close to 0.96, as determined by the WMAP9 and Planck experiments, most of the considered models predict $r\gtrsim 0.02$. The running of the scalar spectral index, quantified by $|\mathrm{d}{\mathrm{n}}_{\mathrm{s}}/\mathrm{d}\ln k|$, is predicted in these models to be of order $10^{-4}$--$10^{-3}$.

1+14 pages, 6 figures, 5 tables. v4: Title changed and manuscript revised taking into account Planck 2015 results

References in corpus (14)

• The Standard Model Higgs boson as the inflaton
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Superconformal Symmetry, NMSSM, and Inflation
• Higgs inflation at the critical point
• Higgs inflation still alive
• The Standard Model Higgs Boson-Inflaton and Dark Matter
• MCMC analysis of WMAP3 and SDSS data points to broken symmetry inflaton potentials and provides a lower bound on the tensor to scalar ratio
• Chaotic inflation, radiative corrections and precision cosmology
• Coleman-Weinberg Potential In Good Agreement With WMAP
• Polynomial inflation models after BICEP2
• The inflationary gravitational-wave background and measurements of the scalar spectral index
• Higgs Inflation, Quantum Smearing and the Tensor to Scalar Ratio
• Non-Minimal Chaotic Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis

Cited by in corpus (30)

• Dynamically induced Planck scale and inflation in the Palatini formulation
• Super-Heavy Dark Matter - Towards Predictive Scenarios from Inflation
• GUT Physics in the era of the LHC
• Dark Matter $Z^{\prime }$ and XENON1T Excess from $U(1{)}_X$ Extended Standard Model
• Monopoles, Strings, and Necklaces in $SO(10)$ and $E_6$
• Inflection-point Higgs Inflation
• Primordial monopoles, proton decay, gravity waves and GUT inflation
• Radiative plateau inflation
• Inflection-point inflation in hyper-charge oriented U(1)${}_X$ model
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• Inflationary predictions of double-well, Coleman-Weinberg, and hilltop potentials with non-minimal coupling
• Warm DBI inflation with constant sound speed
• Axion Inflation, Proton Decay and Leptogenesis in $SU(5)\times U(1{)}_{PQ}$
• Non-minimal quartic inflation in classically conformal U(1)${}_X$ extended Standard Model
• Affleck-Dine Baryogenesis with Observable Neutron-Anti-Neutron Oscillation
• Tachyon inflation with steep potentials
• Pseudo-Goldstone Dark Matter in $SO(10)$
• Background dynamics of pre-inflationary scenario in Brans-Dicke loop quantum cosmology
• Brans-Dicke inflation in light of the Planck 2015 data
• Axion Model with Intermediate Scale Fermionic Dark Matter
• SMART U(1)${}_X$ $-$ Standard Model with Axion, Right handed neutrinos, Two Higgs doublets and U(1)${}_X$ gauge symmetry
• Very low scale Coleman-Weinberg inflation with non-minimal coupling
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Axions, WIMPs, proton decay and observable $r$ in $SO(10)$
• Measuring inflaton couplings via dark radiation as $\Delta N_{\mathrm{eff}}$ in CMB
• Dynamical Inflection Point Inflation
• Palatini Higgs and Coleman-Weinberg inflation with non-minimal coupling
• Constraints on the non-minimally coupled Witten-O'Raifeartaigh inflation
• Revisiting Witten-O'Raifeartaigh Inflation for a Non-minimally Coupled Scalar Field
• $SU(5)\times U(1{)}_X$ Axion Model with Observable Proton Decay