Cosmic Microwave Background Observables of Small Field Models of Inflation

Abstract

We construct a class of single small field models of inflation that can predict, contrary to popular wisdom, an observable gravitational wave signal in the cosmic microwave background anisotropies. The spectral index, its running, the tensor to scalar ratio and the number of e-folds can cover all the parameter space currently allowed by cosmological observations. A unique feature of models in this class is their ability to predict a negative spectral index running in accordance with recent cosmic microwave background observations. We discuss the new class of models from an effective field theory perspective and show that if the dimensionless trilinear coupling is small, as required for consistency, then the observed spectral index running implies a high scale of inflation and hence an observable gravitational wave signal. All the models share a distinct prediction of higher power at smaller scales, making them easy targets for detection.

13 pages, 3 figures, added numerical analysis and discussion on the properties of the spectra. Version to be published in JCAP

References in corpus (14)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Monodromy in the CMB: Gravity Waves and String Inflation
• Power-counting and the Validity of the Classical Approximation During Inflation
• String Cosmology: A Review
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• High resolution CMB power spectrum from the complete ACBAR data set
• Improved measurements of the temperature and polarization of the CMB from QUaD
• Measurement of Cosmic Microwave Background Polarization Power Spectra from Two Years of BICEP Data
• Is a step in the primordial spectral index favored by CMB data ?
• Non-Gaussian Correlations Outside the Horizon
• Lecture notes on the physics of cosmic microwave background anisotropies

Cited by in corpus (72)

• The Swampland: Introduction and Review
• Higgs inflation at the critical point
• CMB at 2x2 order: the dissipation of primordial acoustic waves and the observable part of the associated energy release
• Inflation Physics from the Cosmic Microwave Background and Large Scale Structure
• Gravity waves and non-Gaussian features from particle production in a sector gravitationally coupled to the inflaton
• Stability analysis of chromo-natural inflation and possible evasion of Lyth's bound
• Higgs inflation from Standard Model criticality
• Teasing bits of information out of the CMB energy spectrum
• Observable induced gravitational waves from an early matter phase
• Distinguishing different scenarios of early energy release with spectral distortions of the cosmic microwave background
• On the robustness of the primordial power spectrum in renormalized Higgs inflation
• Observable gravitational waves from inflation with small field excursions
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• Density profiles of ultracompact minihalos: Implications for constraining the primordial power spectrum
• A new probe of the small-scale primordial power spectrum: astrometric microlensing by ultracompact minihalos
• Are ultracompact minihalos really ultracompact?
• An accurate bound on tensor-to-scalar ratio and the scale of inflation
• A Field Range Bound for General Single-Field Inflation
• The Lyth Bound of Inflation with a Tilt
• Higgs-Dilaton cosmology: Universality vs. criticality
• BICEP2 implications for single-field slow-roll inflation revisited
• Constraints on Scalar and Tensor spectra from $N_{eff}$
• Observable Gravity Waves from Supersymmetric Hybrid Inflation II
• Inner cusps of the first dark matter haloes: Formation and survival in a cosmological context
• Suppressing the impact of a high tensor-to-scalar ratio on the temperature anisotropies
• Remarks about the Tensor Mode Detection by the BICEP2 Collaboration and the Super-Planckian Excursions of the Inflaton Field
• Towards Natural Inflation in String Theory
• Quantum Gravity Constraints on Inflation
• Draining the Swampland
• Observable Gravity Waves From Supersymmetric Hybrid Inflation
• Reconstructing inflationary potential from BICEP2 and running of tensor modes
• $R^2\log R$ quantum corrections and the inflationary observables
• Supergravity Higgs Inflation and Shift Symmetry in Electroweak Theory
• Non-Gaussianity from Axionic Curvaton
• Tidal evolution of dark matter annihilation rates in subhalos
• Evolution of dark matter microhalos through stellar encounters
• Reconstructing inflationary paradigm within Effective Field Theory framework
• Relaxion Cosmology and the Price of Fine-Tuning
• Modified Lyth bound and implications of BICEP2 results
• Simplified Smooth Inflation with Observable Gravity Waves
• Evading the Lyth Bound in Hybrid Natural Inflation
• The Scale of Inflation in the Landscape
• Large tensor-to-scalar ratio and running of the scalar spectral index with Instep Inflation
• Lyth bound revisited
• Reconstructing the Local Potential of Inflation with BICEP2 data
• Gauged M-flation After BICEP2
• Constraints on small-scale cosmological fluctuations from SNe lensing dispersion
• Accidental Inflation from Kähler Uplifting
• Small field models with gravitational wave signature supported by CMB data
• The Simple Single Field Inflation Models and the Running of Spectral Index
• Clearing the Brush: The Last Stand of Solo Small Field Inflation
• Bound on largest $r\lesssim 0.1$ from sub-Planckian excursions of inflaton
• New Horizons in Cosmology with Spectral Distortions of the Cosmic Microwave Background
• Large Tensor-to-Scalar Ratio in Small-Field Inflation
• Reheating constraints on mutated hilltop inflation
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Tensor modes on the string theory landscape
• Primordial gravitational wave of BICEP2 from dynamical double hybrid inflation
• Likelihood analysis of small field polynomial models of inflation yielding a high Tensor-to-Scalar ratio
• Canonical single field slow-roll inflation with a non-monotonic tensor-to-scalar ratio
• The Grand Canonical Multiverse and the Small Cosmological Constant
• Inflation in supergravity from field redefinitions
• Small field models of inflation that predict a tensor-to-scalar ratio $r=0.03$
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• Lensing dispersion of SNIa and small scales of the primordial power spectrum
• GUT-scale inflation with sizeable tensor modes
• False vacuum energy dominated inflation with large $r$ and the importance of ${\kappa }_s$
• On the Lyth bound and single field slow-roll inflation
• Numerical Analysis of the Primordial Power Spectrum for (Small Field) Inflationary Potentials
• The Upper Bound on the Tensor-to-Scalar Ratio Consistent with Quantum Gravity
• Observable Gravitational Waves and Spectral Index Running in Small Single Field Inflationary Models
• Analytic Correlation of Inflationary Potential to Power Spectrum Shape: Limits of Validity, and `No-Go' for Small Field Model Analytics