The T-E correlation coefficient of Planck legacy data

Abstract

Testing deviations from the $\Lambda$CDM model using the Cosmic Microwave Background (CMB) power spectra requires a pristine understanding of instrumental systematics. In this work we discuss the properties of a new observable ${\mathcal{R}}_{\ell }^{TE}$, the correlation coefficient of temperature and E modes. We find that this observable is mostly unaffected by systematics introducing multiplicative biases such as errors in calibration, polarisation efficiency, beam and transfer function measurements. We discuss the dependency of this observable on the cosmological model and derive its statistical properties. We then compute the T-E correlation coefficients of Planck legacy data and compare them with expectations from the Planck best-fit $\Lambda$CDM and foreground model.

arXiv comment11 pages, 6 figures. The code used for this analysis is available at: https://github.com/simonsobs/PSpipe/tree/master/project/correlation_coeff

References in corpus (19)

• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Efficient Computation of CMB anisotropies in closed FRW models
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Simons Observatory: Science goals and forecasts
• Early Dark Energy Can Resolve The Hubble Tension
• Wilkinson Microwave Anisotropy Probe (WMAP) First Year Observations: TE Polarization
• MASTER of the CMB Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex CMB Data Sets
• The Atacama Cosmology Telescope: Two-Season ACTPol Spectra and Parameters
• Measurements of the Temperature and E-Mode Polarization of the CMB from 500 Square Degrees of SPTpol Data
• The POLARBEAR-2 and the Simons Array Experiment
• CMB temperature and polarisation pseudo-Cl estimators and covariances
• A Comparison of Cosmological Parameters Determined from CMB Temperature Power Spectra from the South Pole Telescope and the Planck Satellite
• $\Lambda$CDM or self-interacting neutrinos? - how CMB data can tell the two models apart
• Cosmological constraints on the neutrino mass including systematic uncertainties
• QuickPol: Fast calculation of effective beam matrices for CMB polarization
• Comparing Planck and WMAP: Maps, Spectra, and Parameters
• The Atacama Cosmology Telescope: Cross Correlation with Planck maps
• Assessing Consistency Between WMAP 9-year and Planck 2015 Temperature Power Spectra
• Consistency of CMB experiments beyond cosmic variance

Cited by in corpus (4)

• The Origin of Parity Violation in Polarized Dust Emission and Implications for Cosmic Birefringence
• CMB spectral distortions revisited: a new take on $\mu$ distortions and primordial non-Gaussianities from FIRAS data
• Constraints on Pre-Recombination Early Dark Energy from SPT-3G Public Data
• Cosmology with Planck T-E correlation coefficient