Planck constraints on cross-correlations between anisotropic cosmic birefringence and CMB polarization

Abstract

Cosmic Birefringence (CB) is the in-vacuo rotation of the linear polarization direction of photons during propagation, caused by parity-violating extensions of Maxwell electromagnetism. We build low resolution CB angle maps using Planck Legacy and NPIPE products and provide for the first time estimates of the cross-correlation spectra $C_L^{\alpha E}$ and $C_L^{\alpha B}$ between the CB and the CMB polarization fields. We also provide updated CB auto-correlation spectra $C_L^{\alpha \alpha }$ as well as the cross-correlation $C_L^{\alpha T}$ with the CMB temperature field. We report constraints by defining the scale-invariant amplitudes $A^{\alpha X}\equiv L(L+1)C_L^{\alpha X}/2\pi$, where $X=\alpha ,T,E,B$, finding no evidence of CB. In particular, we find $A^{\alpha E}=(-7.8\pm 5.6)$ nK deg and $A^{\alpha B}=(0.3\pm 4.0)$ nK deg at 68% C.L..

arXiv comment24 pages, 14 figures. Accepted for publication in JCAP

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