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Title: Statistical imprints of CMB B -type polarization leakage in an incomplete sky survey analysis

Abstract

One of the main goals of modern cosmology is to search for primordial gravitational waves by looking on their imprints in the B -type polarization in the cosmic microwave background radiation. However, this signal is contaminated by various sources, including cosmic weak lensing, foreground radiations, instrumental noises, as well as the E -to- B leakage caused by the partial sky surveys, which should be well understood to avoid the misinterpretation of the observed data. In this paper, we adopt the E / B decomposition method suggested by Smith in 2006, and study the imprints of E -to- B leakage residuals in the constructed B -type polarization maps, B( n-circumflex ), by employing various statistical tools. We find that the effects of E -to- B leakage are negligible for the B-mode power spectrum, as well as the skewness and kurtosis analyses of B-maps. However, if employing the morphological statistical tools, including Minkowski functionals and/or Betti numbers, we find the effect of leakage can be detected at very high confidence level, which shows that in the morphological analysis, the leakage can play a significant role as a contaminant for measuring the primordial B -mode signal and must be taken into account formore » a correct explanation of the data.« less

Authors:
; ; ; ;  [1]
  1. CAS Key Laboratory for Researches in Galaxies and Cosmology, Department of Astronomy, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026 (China)
Publication Date:
OSTI Identifier:
22680076
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASYMMETRY; BACKGROUND RADIATION; COSMOLOGY; DECOMPOSITION; DISTRIBUTION; GRAVITATIONAL LENSES; GRAVITATIONAL WAVES; MINKOWSKI SPACE; NOISE; POLARIZATION; RELICT RADIATION; SPECTRA; STATISTICS

Citation Formats

Santos, Larissa, Wang, Kai, Hu, Yangrui, Fang, Wenjuan, and Zhao, Wen, E-mail: larissa@ustc.edu.cn, E-mail: ljwk@mail.ustc.edu.cn, E-mail: hyr1996@mail.ustc.edu.cn, E-mail: wenjuan.fang@gmail.com, E-mail: wzhao7@ustc.edu.cn. Statistical imprints of CMB B -type polarization leakage in an incomplete sky survey analysis. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/01/043.
Santos, Larissa, Wang, Kai, Hu, Yangrui, Fang, Wenjuan, & Zhao, Wen, E-mail: larissa@ustc.edu.cn, E-mail: ljwk@mail.ustc.edu.cn, E-mail: hyr1996@mail.ustc.edu.cn, E-mail: wenjuan.fang@gmail.com, E-mail: wzhao7@ustc.edu.cn. Statistical imprints of CMB B -type polarization leakage in an incomplete sky survey analysis. United States. doi:10.1088/1475-7516/2017/01/043.
Santos, Larissa, Wang, Kai, Hu, Yangrui, Fang, Wenjuan, and Zhao, Wen, E-mail: larissa@ustc.edu.cn, E-mail: ljwk@mail.ustc.edu.cn, E-mail: hyr1996@mail.ustc.edu.cn, E-mail: wenjuan.fang@gmail.com, E-mail: wzhao7@ustc.edu.cn. Sun . "Statistical imprints of CMB B -type polarization leakage in an incomplete sky survey analysis". United States. doi:10.1088/1475-7516/2017/01/043.
@article{osti_22680076,
title = {Statistical imprints of CMB B -type polarization leakage in an incomplete sky survey analysis},
author = {Santos, Larissa and Wang, Kai and Hu, Yangrui and Fang, Wenjuan and Zhao, Wen, E-mail: larissa@ustc.edu.cn, E-mail: ljwk@mail.ustc.edu.cn, E-mail: hyr1996@mail.ustc.edu.cn, E-mail: wenjuan.fang@gmail.com, E-mail: wzhao7@ustc.edu.cn},
abstractNote = {One of the main goals of modern cosmology is to search for primordial gravitational waves by looking on their imprints in the B -type polarization in the cosmic microwave background radiation. However, this signal is contaminated by various sources, including cosmic weak lensing, foreground radiations, instrumental noises, as well as the E -to- B leakage caused by the partial sky surveys, which should be well understood to avoid the misinterpretation of the observed data. In this paper, we adopt the E / B decomposition method suggested by Smith in 2006, and study the imprints of E -to- B leakage residuals in the constructed B -type polarization maps, B( n-circumflex ), by employing various statistical tools. We find that the effects of E -to- B leakage are negligible for the B-mode power spectrum, as well as the skewness and kurtosis analyses of B-maps. However, if employing the morphological statistical tools, including Minkowski functionals and/or Betti numbers, we find the effect of leakage can be detected at very high confidence level, which shows that in the morphological analysis, the leakage can play a significant role as a contaminant for measuring the primordial B -mode signal and must be taken into account for a correct explanation of the data.},
doi = {10.1088/1475-7516/2017/01/043},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 01,
volume = 2017,
place = {United States},
year = {2017},
month = {1}
}