Testing inflationary consistency relations by the potential CMB observations

Abstract

Testing the so-called consistency relations plays an important role for distinguishing the different classes of inflation models. In this paper, we investigate the possible testing based on the potential observations of the cosmic microwave background (CMB) radiation, including the planned CMBPol mission and the ideal CMB experiment where only the reduced cosmic weak lensing contamination for the B-mode polarization is considered. We find that for the canonical single-field inflation and the phantom inflation, the consistency relations are quite hard to be tested: the testing is possible only if $r>0.14$ for CMBPol mission, and $r>0.06$ for the ideal experiment. However, the situation could become much better for the general Lorentz invariant single-field inflation with large non-gaussian signal and the two-field inflation with strong correlation between the adiabatic and the isocurvature perturbations. We find that for these two classes of inflation the testing is possible if $r\gtrsim 10^{-2}$ or even smaller for both CMB experiments.

15 pages, 4 figures

References in corpus (25)

• G-inflation: inflation driven by the Galileon field
• CMBPol Mission Concept Study: Probing Inflation with CMB Polarization
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Higgs G-inflation
• Primordial non-Gaussianity from the DBI Galileons
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background
• Prospects for direct detection of primordial gravitational waves
• Bayesian Analysis of Inflation: Parameter Estimation for Single Field Models
• Relic gravitational waves and their detection
• Relic Gravitational Waves in the Accelerating Universe
• A general solution to the E-B mixing problem
• Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
• First season QUaD CMB temperature and polarization power spectra
• Relic Gravitational Waves with A Running Spectral Index and Its Constraints at High Frequencies
• Separating E and B types of polarization on an incomplete sky
• CMB E/B decomposition of incomplete sky: a pixel space approach
• Detecting relic gravitational waves in the CMB: Optimal parameters and their constraints
• Approximate Analytic Spectra of Reionized CMB Anisotropies and Polarization generated by Relic Gravitational Waves
• Relic gravitational waves: latest revisions and preparations for new data
• Detectable primordial non-gaussianities and gravitational waves in k-inflation
• Optimizing future experimental probes of inflation
• Detecting relic gravitational waves in the CMB: Comparison of different methods
• Stable indications of relic gravitational waves in Wilkinson Microwave Anisotropy Probe data and forecasts for the Planck mission
• Detecting Relic Gravitational Waves in the CMB: Comparison of Planck and Ground-based Experiments
• PAPPA: Primordial Anisotropy Polarization Pathfinder Array

Cited by in corpus (9)

• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• Inflationary Potential as seen from Different Angles: Model Compatibility from Multiple CMB Missions
• Phantom Inflation in Little Rip
• Post-inflationary phases stiffer than radiation and Palatini formulation
• Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance
• Tracking the Multifield Dynamics with Cosmological Data: A Monte Carlo approach
• The Degeneracy Problem in Non-Canonical Inflation
• Constraints on the primordial gravitational waves with variable sound speed from current CMB data
• Optimistic estimation on probing primordial gravitational waves with CMB B-mode polarization