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Cross-Correlation of Cosmological Birefringence with CMB Temperature
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Theories for new particle and early-Universe physics abound with pseudo-Nambu-Goldstone fields that arise when global symmetries are spontaneously broken. The coupling of these fields to the Chern-Simons term of electromagnetism may give rise to cosmological birefringence (CB), a frequency-independent rotation of the linear polarization of photons as they propagate over cosmological distances. Inhomogeneities in the CB-inducing field may yield a rotation angle that varies across the sky. Here we note that such a spatially-varying birefringence may be correlated with the cosmic microwave background (CMB) temperature. We describe quintessence scenarios where this cross-correlation exists and other scenarios where the scalar field is simply a massless spectator field, in which case the cross-correlation does not exist. We discuss how the cross-correlation between CB-rotation angle and CMB temperature may be measured with CMB polarization. This measurement may improve the sensitivity to the CB signal, and it can help discriminate between different models of CB.
Forward citations
Cited by 4 Pith papers
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Limits on global cosmic birefringence using radio sources
X-band radio sources yield μ_β = (0.2 ± 1.0)° for global cosmic birefringence, with stacking to ~0.6° and a forecast that ~10^5 sources could reach ~0.1° to test Planck claims.
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Simultaneous inference of isotropic and anisotropic polarization rotation angles for next-generation cosmic microwave background experiments
A Bayesian power-spectrum framework simultaneously infers isotropic and anisotropic cosmic birefringence angles, instrumental miscalibration angles, and foreground parameters from simulated multi-frequency next-genera...
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Constraints on Anisotropic Cosmic Birefringence from CMB B-mode Polarization
The combined analysis of SPTpol, ACT, POLARBEAR, and BICEP data constrains the anisotropic cosmic birefringence amplitude to ACB = 0.42^{+0.40}_{-0.34} × 10^{-4}, consistent with zero.
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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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