Simultaneous determination of the cosmic birefringence and miscalibrated polarisation angles from CMB experiments

Abstract

We show that the cosmic birefringence and miscalibrated polarisation angles can be determined simultaneously by cosmic microwave background (CMB) experiments using the cross-correlation between $E$- and $B$-mode polarisation data. This is possible because polarisation angles of the CMB are rotated by both the cosmic birefringence and miscalibration effects,whereas those of the Galactic foreground emission only by the latter. Our method does not require prior knowledge of the $E$- and $B$-mode power spectra of the foreground emission, but uses only the knowledge of the CMB polarisation spectra. Specifically, we relate the observed $EB$ correlation to the difference between the $observed$ $E$- and $B$-mode spectra in the sky, and use different multipole dependence of the CMB (given by theory) and foreground spectra (with no assumption) to derive the likelihood for the miscalibration angle $\alpha$ and the birefringence angle $\beta$. We show that a future satellite mission similar to LiteBIRD can determine $\beta$ with a precision of ten arcminutes.

arXiv comment13 pages, 4 figures, 2 tables

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Cited by in corpus (8)

• The Atacama Cosmology Telescope: Constraints on Cosmic Birefringence
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• The Simons Observatory: gain, bandpass and polarization-angle calibration requirements for B-mode searches
• Planck 2018 constraints on anisotropic birefringence and its cross-correlation with CMB anisotropy
• In-flight polarization angle calibration for LiteBIRD: blind challenge and cosmological implications
• Determination of Polarization Angles in CMB Experiments and Application to CMB Component Separation Analyses
• Optical modeling of systematic uncertainties in detector polarization angles for the Atacama Cosmology Telescope
• Simultaneous determination of the cosmic birefringence and miscalibrated polarization angles II: Including cross frequency spectra