Abstract

We investigate the performance of the parametric maximum likelihood component separation method in the context of the cosmic microwave background (CMB) B-mode signal detection and its characterization by small-scale CMB suborbital experiments. We consider high-resolution (FWHM = 8′) balloon-borne and ground-based observatories mapping low dust-contrast sky areas of 400 and 1000 square degrees, in three frequency channels, 150, 250, 410 GHz, and 90, 150, 220 GHz, with sensitivity of order 1 to 10 μK per beam-size pixel. These are chosen to be representative of some of the proposed, next-generation, bolometric experiments. We study the residual foreground contributions left in the recovered CMB maps in the pixel and harmonic domain and discuss their impact on a determination of the tensor-to-scalar ratio, r. In particular, we find that the residuals derived from the simulated data of the considered balloon-borne observatories are sufficiently low not to be relevant for the B-mode science. However, the ground-based observatories are in need of some external information to permit satisfactory cleaning. We find that if such information is indeed available in the latter case, both the ground-based and balloon-borne experiments can detect the values of r as low as ∼0.04 at 95 per cent confidence level. The contribution of the foreground residuals to these limits is found to be then subdominant and these are driven by the statistical uncertainty due to CMB, including E-to-B leakage, and noise. We emphasize that reaching such levels will require a sufficient control of the level of systematic effects present in the data.

Highlights

  • Astrophysical foregrounds are commonly recognized as one of the major obstacles on the way to first detecting and later exploiting the scientific potential of the Cosmic Microwave Background (CMB) polarization signal

  • We investigate the performance of the parametric Maximum Likelihood component separation method in the context of the CMB B-mode signal detection and its characterization by small-scale CMB suborbital experiments

  • We study the residual foreground contributions left in the recovered CMB maps in the pixel and harmonic domain and discuss their impact on a determination of the tensor-to-scalar ratio, r

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Summary

INTRODUCTION

Astrophysical foregrounds are commonly recognized as one of the major obstacles on the way to first detecting and later exploiting the scientific potential of the Cosmic Microwave Background (CMB) polarization signal. Amarie et al (2005) performed a Fisher analysis as well, but use specific parameters anchored in those of the multi-frequency data set assumed This last work together with Amblard et al (2007) and Betoule et al (2009) come the closest in the spirit to what we discuss in this paper, neither of the latter two works includes an actual power spectrum estimator accounting for the leakage, what is justified at least in part by their focus on full-sky observations. We apply our proposed analysis chain to simulated data for different foreground case studies, allowing for different levels of mismatch between the assumptions made on the analysis and simulation stages, in order to evaluate the impact of the component separation residuals first on the recovered B-mode power spectrum and later on the value of a r which can be derived from such data.

PARAMETRIC COMPONENT SEPARATION METHOD
POLARIZED POWER SPECTRUM ESTIMATION
The pure pseudo-Cl’s estimator
Sky apodization
Statistical uncertainties
SIMULATED SKY
Sky signals - Basic model
Sky signals - Extensions
Extra small-scale power
Spatially-varying frequency scaling
MOCK OBSERVATIONS AND FOREGROUND CASE STUDIES
Balloon-borne experiment
Ground-based experiment
Foreground spectral modelling
Performance evaluation metric
Balloon-borne cases
Ground-based cases
Ground-based cases with external information
Miscalibration and spectral mismatch
ANALYSIS OF THE RESIDUALS
COSMOLOGICAL B-MODE DETECTION
CONCLUSIONS
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