Precision of Inflaton Potential Reconstruction from CMB Using the General Slow-Roll Approximation

Abstract

Through a principal component analysis, we study how accurately CMB observables can constrain inflaton potentials in a model independent manner. We apply the general slow-roll approximation in our analysis where we allow, in contrast to the standard slow-roll approximation, the possibility of variations in $V^{\prime \prime }(\varphi )$ and take into account the fact that horizon crossing is not an instantaneous event. Our analysis provides a set of modes to be used in fitting observables. We find that of order five of these modes will be constrained by future observations, so a fully general data analysis package could use the amplitudes of just a handful of modes as free parameters and retain all relevant information in the data.

References in corpus (33)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Sloan Digital Sky Survey: Technical Summary
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from SDSS and WMAP
• The Second Data Release of the Sloan Digital Sky Survey
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• The First Data Release of the Sloan Digital Sky Survey
• Reconstructing the Inflaton Potential --- an Overview
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Microwave Background Constraints on Cosmological Parameters
• A limit on the detectability of the energy scale of inflation
• Reconstructing the primordial power spectrum
• Reconstructing the Inflaton Potential---in Principle and in Practice
• The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
• Model-Independent Reconstruction of the Primordial Power Spectrum from WMAP Data
• Second Order General Slow-Roll Power Spectrum
• Reconstructing the primordial power spectrum - a new algorithm
• On the Problem of Predicting Inflationary Perturbations
• Monte Carlo reconstruction of the inflationary potential
• Reconstructing the Inflaton Potential---Perturbative Reconstruction to Second Order
• The Lyth Bound Revisited
• Principal Power of the CMB
• Characterizing Inflationary Perturbations: The Uniform Approximation
• Scale Dependent Spectral Index in Slow Roll Inflation
• Second-Order Reconstruction of the Inflationary Potential
• Cosmic Inversion: Reconstructing primordial spectrum from CMB anisotropy
• Inflationary Perturbations and Precision Cosmology
• Inflaton potential reconstruction without slow-roll
• Reconstructing the Primordial Spectrum with CMB Temperature and Polarization
• On the reliability of inflaton potential reconstruction
• From the Spectrum to Inflation : An Inverse Formula for the General Slow-Roll Spectrum
• Inverse-Scattering Theory and the Density Perturbations from Inflation

Cited by in corpus (37)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Steepest growth of the power spectrum and primordial black holes
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Generalized Slow Roll for Large Power Spectrum Features
• Recovering the Inflationary Potential and Primordial Power Spectrum With a Slow Roll Prior: Methodology and Application to WMAP 3 Year Data
• Reconstruction of Hessence Dark Energy and the Latest Type Ia Supernovae Gold Dataset
• MCMC analysis of WMAP3 and SDSS data points to broken symmetry inflaton potentials and provides a lower bound on the tensor to scalar ratio
• Generalized Slow Roll for Non-Canonical Kinetic Terms
• Reionization constraints using Principal Component Analysis
• Scratches from the Past: Inflationary Archaeology through Features in the Power Spectrum of Primordial Fluctuations
• Measuring the primordial power spectrum: Principal component analysis of the cosmic microwave background
• Inflationary Potential Reconstruction for a WMAP Running Power Spectrum
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis
• New constraints on the observable inflaton potential from WMAP and SDSS
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• Cosmological constraints on general, single field inflation
• Generalized Slow Roll in the Unified Effective Field Theory of Inflation
• CMB Constraints on Principal Components of the Inflaton Potential
• Complete WMAP Constraints on Bandlimited Inflationary Features
• To Bin or Not To Bin: Decorrelating the Cosmic Equation of State
• Cosmic Shear as a Probe of Galaxy Formation Physics
• Running from Features: Optimized Evaluation of Inflationary Power Spectra
• Principal component analysis of the primordial tensor power spectrum
• CMB probes on the correlated axion isocurvature perturbation
• Minimal Noncanonical Cosmologies
• Nonlocal Entanglement and Directional Correlations of Primordial Perturbations on the Inflationary Horizon
• Reconstructing the EFT of Inflation from Cosmological Data
• Final Thoughts on the Power Spectra of Scalar Potential Models
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Reconciling tensor and scalar observables in G-inflation
• Pattern of perturbations from a coherent quantum inflationary horizon
• From Non-trivial Geometries to Power Spectra and Vice Versa
• From the Spectrum to Inflation: A Second Order Inverse Formula for the General Slow-Roll Spectrum
• Troubles for observing the inflaton potential
• Inflationary Hubble Parameter from the Gravitational Wave Spectrum in the General Slow-roll Approximation
• The Black Hole Window on Cosmic Inflation