CMB Temperature Polarization Correlation and Primordial Gravitational Waves

Abstract

We examine the use of the CMB's TE cross correlation power spectrum as a complementary test to detect primordial gravitational waves (PGWs). The first method used is based on the determination of the lowest multipole, ${\ell }_0$, where the TE power spectrum, $C_{\ell }^{TE}$, first changes sign. The second method uses Wiener filtering on the CMB TE data to remove the density perturbations contribution to the TE power spectrum. In principle this leaves only the contribution of PGWs. We examine two toy experiments (one ideal and another more realistic) to see their ability to constrain PGWs using the TE power spectrum alone. We found that an ideal experiment, one limited only by cosmic variance, can detect PGWs with a ratio of tensor to scalar metric perturbation power spectra $r=0.3$ at 99.9% confidence level using only the TE correlation. This value is comparable with current constraints obtained by WMAP based on the $2\sigma$ upper limits to the B-mode amplitude. We demonstrate that to measure PGWs by their contribution to the TE cross correlation power spectrum in a realistic ground based experiment when real instrumental noise is taken into account, the tensor-to-scalar ratio, $r$, should be approximately three times larger.

13 pages, 13 figures, version matches published version. Combined with 0710.3651

References in corpus (24)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Efficient Computation of CMB anisotropies in closed FRW models
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Signature of Gravity Waves in Polarization of the Microwave Background
• A Probe of Primordial Gravity Waves and Vorticity
• A method for subtracting foregrounds from multi-frequency CMB sky maps
• Measuring Polarization In Cosmic Microwave Background
• Direct detection of the inflationary gravitational wave background
• Probing the Reionization History of the Universe using the Cosmic Microwave Background Polarization
• Polarization of the Microwave Background due to Primordial Gravitational Waves
• Second and third season QUaD CMB temperature and polarization power spectra
• CMB Polarization Systematics Due to Beam Asymmetry: Impact on Inflationary Science
• Detectability of Inflationary Gravitational Waves with Microwave Background Polarization
• CMB polarization as a direct test of Inflation
• Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
• Error analysis of quadratic power spectrum estimates for CMB polarization: sampling covariance
• Constraints on the Primordial Power Spectrum from High Resolution Lyman-alpha Forest Spectra and WMAP
• Detectability of Tensor Perturbations Through CBR Anisotropy (final published version)
• Gravitational Waves and the Polarisation of the Cosmic Microwave Background
• Scientific optimization of a ground-based CMB polarization experiment
• CMB Beam Systematics: Impact on Lensing Parameter Estimation
• The Polarization of the Cosmic Microwave Background Due to Primordial Gravitational Waves

Cited by in corpus (19)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Separating E and B types of polarization on an incomplete sky
• Analytic Spectra of CMB Anisotropies and Polarization Generated by Relic Gravitational Waves with Modification due to Neutrino Free-Streaming
• Detecting relic gravitational waves in the CMB: Optimal parameters and their constraints
• On the road to discovery of relic gravitational waves: The TE and BB Correlations in the cosmic microwave background radiation
• Approximate Analytic Spectra of Reionized CMB Anisotropies and Polarization generated by Relic Gravitational Waves
• Gravitational wave astronomy with radio galaxy surveys
• Impulsive cylindrical gravitational wave: one possible radiative form emitted from cosmic strings and corresponding electromagnetic response
• Detecting relic gravitational waves in the CMB: Comparison of different methods
• New Primordial-Magnetic-Field Limit from The Latest LIGO S5 data
• Stable indications of relic gravitational waves in Wilkinson Microwave Anisotropy Probe data and forecasts for the Planck mission
• Second-order cosmological perturbations. I. Produced by scalar-scalar coupling in synchronous gauge
• Second-order cosmological perturbations. II. Produced by scalar-tensor and tensor-tensor couplings
• Second-order cosmological perturbations. IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stage
• Analytic Spectra of CMB Anisotropies and Polarization Generated by Scalar Perturbations in Synchronous Gauge
• Detection of relic gravitational waves in the CMB: Prospects for CMBPol mission
• Very high frequency gravitational waves from magnetars and gamma-ray burst
• Second-order cosmological perturbations produced by scalar-scalar coupling during inflation stage
• CMB Temperature Polarization Correlation and Primordial Gravitational Waves II: Wiener Filtering and Tests Based on Monte Carlo Simulations