Covariance of CMB anomalies
Abstract
Several unexpected features are observed at large angular scales in the cosmic microwave background (CMB) temperature anisotropy measurements by both WMAP and Planck. These include the lack of both variance and correlation, alignment of the lowest multipole moments with one another, hemispherical power asymmetry, and an odd-to-even parity excess. In this work, we study the statistics of eight representative large-angle CMB features in order to evaluate their covariance in the standard Λ CDM model. We do so using two sets of simulated CMB temperature maps; an ensemble of 100 000 simple Gaussian simulations, and 1000 Full Focal Plane (FFP) simulations provided by the Planck collaboration. In measuring feature probabilities, we pay particular attention to analysis choices, making sure that we can reproduce previous results in the literature, and explain differences where appropriate. The covariance structure we find is consistent with expectations given that many of the features studied are functions of the angular power spectrum. Notably, we find significant differences in the covariance entries associated with the quadrupole-octopole alignments derived from the Gaussian and FFP simulations. We additionally perform a principal component analysis to quantitatively gauge what combinations of features capture the most information about how simulation measurements vary, andmore »
- Authors:
-
- Univ. of Michigan, Ann Arbor, MI (United States)
- Publication Date:
- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1644036
- Alternate Identifier(s):
- OSTI ID: 1460592
- Grant/Contract Number:
- SC0007859; FG02-95ER40899
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 2; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Cosmic microwave background; Inflation; Astrophysical & cosmological simulations
Citation Formats
Muir, Jessica, Adhikari, Saroj, and Huterer, Dragan. Covariance of CMB anomalies. United States: N. p., 2018.
Web. doi:10.1103/physrevd.98.023521.
Muir, Jessica, Adhikari, Saroj, & Huterer, Dragan. Covariance of CMB anomalies. United States. https://doi.org/10.1103/physrevd.98.023521
Muir, Jessica, Adhikari, Saroj, and Huterer, Dragan. Tue .
"Covariance of CMB anomalies". United States. https://doi.org/10.1103/physrevd.98.023521. https://www.osti.gov/servlets/purl/1644036.
@article{osti_1644036,
title = {Covariance of CMB anomalies},
author = {Muir, Jessica and Adhikari, Saroj and Huterer, Dragan},
abstractNote = {Several unexpected features are observed at large angular scales in the cosmic microwave background (CMB) temperature anisotropy measurements by both WMAP and Planck. These include the lack of both variance and correlation, alignment of the lowest multipole moments with one another, hemispherical power asymmetry, and an odd-to-even parity excess. In this work, we study the statistics of eight representative large-angle CMB features in order to evaluate their covariance in the standard Λ CDM model. We do so using two sets of simulated CMB temperature maps; an ensemble of 100 000 simple Gaussian simulations, and 1000 Full Focal Plane (FFP) simulations provided by the Planck collaboration. In measuring feature probabilities, we pay particular attention to analysis choices, making sure that we can reproduce previous results in the literature, and explain differences where appropriate. The covariance structure we find is consistent with expectations given that many of the features studied are functions of the angular power spectrum. Notably, we find significant differences in the covariance entries associated with the quadrupole-octopole alignments derived from the Gaussian and FFP simulations. We additionally perform a principal component analysis to quantitatively gauge what combinations of features capture the most information about how simulation measurements vary, and to provide an alternative assessment of the ways in which the real sky is anomalous. Here, the first four principal components explain about 90% of the simulations’ variance, with the first two roughly quantifying the lack of large-angle correlations, and the next two quantifying the phase-dependent anomalies (multipole alignments and power asymmetry). Though the results of this analysis are fairly unsurprising, its comprehensive approach serves to tie together a number of previous results, and will therefore provide context for future studies of large-angle anomalies.},
doi = {10.1103/physrevd.98.023521},
journal = {Physical Review. D.},
number = 2,
volume = 98,
place = {United States},
year = {Tue Jul 17 00:00:00 EDT 2018},
month = {Tue Jul 17 00:00:00 EDT 2018}
}
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