Detecting relic gravitational waves in the CMB: Comparison of different methods

Abstract

In this paper, we discuss the constraint on the relic gravitational waves by both temperature and polarization anisotropies power spectra of cosmic microwave background radiation. Taking into account the instrumental noises of Planck satellite, we calculate the signal-to-noise ratio $S/N$ by the simulation and the analytic approximation methods. We find that, comparing with the $BB$ channel, the value of $S/N$ is much improved in the case where all the power spectra, $TT$, $TE$, $EE$ and $BB$, are considered. If the noise power spectra of Planck satellite increase for some reasons, the value of $S/N$ in $BB$ channel is much reduced. However, in the latter case where all the power spectra of cosmic microwave background radiation are considered, the value of $S/N$ is less influenced. We also find that the free parameters $A_s$, $n_s$ and $n_t$ have little influence on the value of $S/N$ in both cases.

37 pages, 7 figures, published version

References in corpus (52)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Weak Gravitational Lensing of the CMB
• Signature of Gravity Waves in Polarization of the Microwave Background
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• A Probe of Primordial Gravity Waves and Vorticity
• Cosmological Signature of New Parity-Violating Interactions
• Determination of Inflationary Observables by Cosmic Microwave Background Anisotropy Experiments
• Cosmic Complementarity: Joint Parameter Estimation from CMB Experiments and Redshift Surveys
• Foregrounds and Forecasts for the Cosmic Microwave Background
• Probing the early universe with inflationary gravitational waves
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• Likelihood Analysis of CMB Temperature and Polarization Power Spectra
• Probing cosmological parameters with the CMB: Forecasts from full Monte Carlo simulations
• The Spectrum of Gravitational Radiation from Primordial Turbulence
• Toward Understanding CMB Anisotropies and Their Implications
• Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach
• Analysis of CMB polarization on an incomplete sky
• CMB Polarization Systematics Due to Beam Asymmetry: Impact on Inflationary Science
• Prospects for direct detection of primordial gravitational waves
• Relic gravitational waves and their detection
• Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background
• Relic Gravitational Waves in the Accelerating Universe
• Correlated Primordial Perturbations in Light of CMB and LSS Data
• Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
• Slow Roll Reconstruction: Constraints on Inflation from the 3 Year WMAP Dataset
• Analytic approach to the CMB polarizations generated by relic gravitational waves
• Cosmological Perturbations of Quantum-Mechanical Origin and Anisotropy of the Microwave Background
• Relic Gravitational Waves and Their Detection
• Dependence of Inflationary Reconstruction upon Cosmological Parameters
• Polarized Cosmological Gravitational Waves from Primordial Helical Turbulence
• On what scale should inflationary observables be constrained?
• Stochastic backgrounds of relic gravitons, T$\Lambda$CDM paradigm and the stiff ages
• A Polarization Pursuers' Guide
• Best Unbiased Estimates for the Microwave Background Anisotropies
• Likelihood methods for the combined analysis of CMB temperature and polarisation power spectra
• Scientific optimization of a ground-based CMB polarization experiment
• Analytic Spectra of CMB Anisotropies and Polarization Generated by Relic Gravitational Waves with Modification due to Neutrino Free-Streaming
• Constraints on the Inflationary Expansion from Three Year WMAP, small scale CMB anisotropies and Large Scale Structure Data Sets
• Analysis of cosmic microwave background data on an incomplete sky
• Search for Gravitational Waves in the CMB After WMAP3: Foreground Confusion and The Optimal Frequency Coverage for Foreground Minimization
• On the road to discovery of relic gravitational waves: The TE and BB Correlations in the cosmic microwave background radiation
• Tensor Microwave Background Fluctuations for Large Multipole Order
• Cosmological Rotation of Quantum-Mechanical Origin and Anisotropy of the Microwave Background
• The Polarization of the Cosmic Microwave Background Due to Primordial Gravitational Waves
• CMB Temperature Polarization Correlation and Primordial Gravitational Waves
• The WMAP normalization of inflationary cosmologies
• Relic Gravitational Waves And CMB Polarization In The Accelerating Universe
• Marginal distributions for cosmic variance limited CMB polarization data

Cited by in corpus (18)

• Constraints of relic gravitational waves by Pulsar Timing Array: Forecasts for the FAST and SKA projects
• Polarizing primordial gravitational waves by parity violation
• 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
• Fluctuations of cosmological birefringence and the effect on CMB B-mode polarization
• Performance forecasts for the primordial gravitational wave detection pipelines for AliCPT-1
• Detecting relic gravitational waves in the CMB: Optimal parameters and their constraints
• Constraint on the early Universe by relic gravitational waves: From pulsar timing observations
• Constraints on standard and non-standard early Universe models from CMB B-mode polarization
• Secondary graviton spectra and waterfall-like fields
• New method to constrain the relativistic free-streaming gas in the Universe
• 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
• Detecting relic gravitational waves in the CMB: The contamination caused by the cosmological birefringence
• Analytic Spectra of CMB Anisotropies and Polarization Generated by Scalar Perturbations in Synchronous Gauge
• Testing inflationary consistency relations by the potential CMB observations
• Detection of relic gravitational waves in the CMB: Prospects for CMBPol mission
• Detecting relic gravitational waves in the CMB: A statistical bias