Constraints on Cosmic Birefringence from SPIDER, Planck, and ACT observations

Abstract

The Early Dark Energy (EDE) model has been proposed as a candidate mechanism to generate cosmic birefringence through a Chern-Simons coupling between a dynamical scalar field and the cosmic microwave background (CMB) photon. Such birefringence induces a nonzero cross-correlation between the CMB $E$- and $B$-modes, providing a direct observational signature of parity violation. Recent measurements of the $EB$ and $TB$ power spectra, however, cannot yet unambiguously separate instrumental miscalibration ($\hat{I}\pm$) from a true cosmic-rotation angle (${\hat{I}}^2$). For this reason, we perform a model-independent analysis in terms of the total effective rotation angle $\hat{I}\pm +{\hat{I}}^2$. We analyze the latest $EB$ and $TB$ measurements from the SPIDER, Planck, and ACT experiments and derive constraints on the Chern-Simons coupling constant $g{M}_{Pl}$ and on the polarization rotation angle $\hat{I}\pm +{\hat{I}}^2$. We find that the coupling $g{M}_{Pl}$ is not compatible with the SPIDER data, while it provides reasonable fits to the Planck and ACT measurements. The fits for $\hat{I}\pm +{\hat{I}}^2$ prefer a value larger than zero: when combined, Planck+ACT yield a detection significance of approximately 7$\ddot{I}ƒ$. We also find that ACT data alone do not provide sufficiently tight constraints on either $g{M}_{Pl}$ or $\hat{I}\pm +{\hat{I}}^2$, whereas the combination Planck+ACT improves the statistical consistency of ACT's high-$\ell$ results and leads to a better PTE for those measurements.

12 pages, 8 figures, 4 tables