MCMC analysis of WMAP3 and SDSS data points to broken symmetry inflaton potentials and provides a lower bound on the tensor to scalar ratio

Abstract

We perform a MCMC (Monte Carlo Markov Chains) analysis of the available CMB and LSS data (including the three years WMAP data) with single field slow-roll new inflation and chaotic inflation models. We do this within our approach to inflation as an effective field theory in the GinsburgLandau spirit with fourth degree trinomial potentials in the inflaton field phi.We derive explicit formu- lae and study in detail the spectral index ns of the adiabatic fluctuations the ratio r of tensor to scalar fluctuations and the running index dn_s/dln k. We use these analytic formulas as hard constraints on n_s and r in the MCMC analysis.Our analysis differs in this crucial aspect from previous MCMC studies in the literature involving the WMAP3 data. Our results are as follow: (i) The data strongly indicate the breaking (whether spontaneous or explicit) of the phi -> -phi symmetry of the inflaton potentials both for new and for chaotic inflation.(ii)Trinomial new inflation naturally satisfies this requirement and provides an excellent fit to the data.(iii)Trinomial chaotic inflation produces the best fit in a very narrow corner of the parameter space.(iv) The chaotic symmetric trinomial potential is almost certainly ruled out(at 95% CL).In tri- nomial chaotic inflation the MCMC runs go towards a potential in the boundary of the parameter space and which ressembles a spontaneously symmetry broken potential of new inflation. (v) The above results and further physical analysis here lead us to conclude that new inflation gives the best description of the data.(vi) We find a lower bound for r within trinomial new inflation potentials r > 0.016 (95% CL) and r > 0.049 (68% CL). (vii) The preferred new inflation trinomial potential is a double well, even function of the field yielding as most probable values: n_s ~ 0.958, r ~ 0.055. Such r could be observed soon.

arXiv comment26 pages, 9 figures. Expanded and improved version to appear in Phys. Rev. D

References in corpus (54)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• The 3D power spectrum of galaxies from the SDSS
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Non-Gaussianity from Inflation: Theory and Observations
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Wilkinson Microwave Anisotropy Probe (WMAP) First Year Observations: TE Polarization
• Reconstructing the Inflaton Potential --- an Overview
• Cosmic Microwave Background Anisotropies
• Formalising the Slow-Roll Approximation in Inflation
• On the Foundations of Chiral Perturbation Theory
• Robust Dark Energy Constraints from Supernovae, Galaxy Clustering, and Three-Year Wilkinson Microwave Anisotropy Probe Observations
• Cosmological parameter estimation and the inflationary cosmology
• Inflation: flow, fixed points and observables to arbitrary order in slow roll
• Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data
• Cosmic microwave background measurements can discriminate among inflation models
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error Limits
• Kinematic Constraints to the Key Inflationary Observables
• Constraining slow-roll inflation with WMAP and 2dF
• A Bayesian model selection analysis of WMAP3
• WMAP and Inflation
• The Lyman-alpha forest and WMAP year three
• Recovering the Inflationary Potential and Primordial Power Spectrum With a Slow Roll Prior: Methodology and Application to WMAP 3 Year Data
• Inflationary predictions for scalar and tensor fluctuations reconsidered
• Monte Carlo reconstruction of the inflationary potential
• Slow Roll Reconstruction: Constraints on Inflation from the 3 Year WMAP Dataset
• A re-analysis of the three-year WMAP temperature power spectrum and likelihood
• A Bayesian analysis of the primordial power spectrum
• On the Production of Scalar and Tensor Perturbations in Inflationary Models
• Oscillations During Inflation and the Cosmological Density Perturbations
• Precision of Inflaton Potential Reconstruction from CMB Using the General Slow-Roll Approximation
• Theoretical Uncertainties in Inflationary Predictions
• Constraints on the Inflationary Expansion from Three Year WMAP, small scale CMB anisotropies and Large Scale Structure Data Sets
• Point-Source Power in 3 Year Wilkinson Microwave Anisotropy Probe Data
• Clarifying Inflation Models: Slow-roll as an expansion in 1/N_{efolds}
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• Dynamics of the Inflationary Flow Equations
• Single Field Inflation models allowed and ruled out by the three years WMAP data
• The Hubble Slow Roll Expansion for Multi Field Inflation
• Stochastic approaches to inflation model building
• The WMAP normalization of inflationary cosmologies
• Reconstructing large running-index inflaton potentials
• New Solutions of the Inflationary Flow Equations
• Scale dependence of the primordial spectrum from combining the three-year WMAP, Galaxy Clustering, Supernovae, and Lyman-alpha forests
• Why CMB physics?
• New Inflation vs. Chaotic Inflation, Higher Degree Potentials and the Reconstruction Program in light of WMAP3
• Understanding selection effects in observed samples of cataclysmic variables
• Inflation after WMAP3

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