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Simultaneous determination of the cosmic birefringence and miscalibrated polarisation angles from CMB experiments
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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 $\mathit{observed}$ $E$- 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.
Forward citations
Cited by 5 Pith papers
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Cosmic birefringence from a joint analysis of ACT and Planck
A joint analysis of Planck and ACT CMB polarization finds a nonzero cosmic birefringence angle of 0.277° ± 0.057°, at 4.8σ, with systematics still to be understood.
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Calibration of CMB Polarisation Using Cross-Experiment Correlations
A data-driven method calibrates relative CMB polarization angles via cross-correlations without assuming zero isotropic birefringence or primordial EB, forecasting 0.10° and 0.17° uncertainties for SO LAT and Planck a...
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Planck constraints on the scale dependence of isotropic cosmic birefringence
Planck polarization data favor a constant cosmic birefringence angle (β≈0.3°) across multipoles, with scale dependence consistent with zero at up to 1.8σ.
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Cosmic Birefringence from the Atacama Cosmology Telescope Data Release 6
Bayesian analysis of ACT DR6 CMB polarization data measures cosmic birefringence angle β = 0.215° ± 0.074° excluding zero at 2.9σ, consistent with prior WMAP and Planck results but limited by unexplained systematics.
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Cosmic Polarisation Rotation from CMB Data: a Review for GR110
A review of CMB constraints on cosmic birefringence, reporting a possible 3 sigma hint for isotropic rotation and null anisotropic results.
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