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A note on the birefringence angle estimation in CMB data analysis
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abstract
Parity violating physics beyond the standard model of particle physics induces a rotation of the linear polarization of photons. This effect, also known as cosmological birefringence (CB), can be tested with the observations of the cosmic microwave background (CMB) anisotropies which are linearly polarized at the level of $5-10\%$. In particular CB produces non-null CMB cross correlations between temperature and B mode-polarization, and between E- and B-mode polarization. Here we study the properties of the so called D-estimators, often used to constrain such an effect. After deriving the framework of both frequentist and Bayesian analysis, we discuss the interplay between birefringence and weak-lensing, which, albeit parity conserving, modifies pre-existing TB and EB cross correlation.
Forward citations
Cited by 2 Pith papers
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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 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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