New constraints on cosmic polarization rotation from the ACTPol cosmic microwave background B-Mode polarization observation and the BICEP2 constraint update

Abstract

Recently ACTPol has measured the cosmic microwave background (CMB) B-mode and E-mode polarizations and obtained TE, EE, BB, TB and EB power spectra in the multipole range 225-8725. In our previous paper (Ap. J. 792 (2014) 35 [Paper I]), we have analyzed jointly the results of three experiments on the CMB B-mode polarization -- SPTpol, POLARBEAR and BICEP2 to include in the model, in addition to the gravitational lensing and the inflationary gravitational waves components, also the fluctuation effects induced by the cosmic polarization rotation (CPR), if it exists within the upper limits at the time. In this paper, we fit both the mean CPR angle <α> and its fluctuation <δα2> from the new ACTPol data, and update our fitting of CPR fluctuations using BICEP2 data taking the new Planck dust measurement results into consideration. We follow the method of Paper I. The mean CPR angle is constrained from the EB correlation power spectra to |<α>| < 14 mrad (0.8°) and the fluctuation (rms) is constrained from the BB correlation power spectra to <δα2>1/2 < 29.3 mrad (1.68°). Assuming that the polarization angle of Tau A does not change from 89.2 to 146 GHz, the ACTPol data give <α> = 1.0 {\pm} 0.63°. These results suggest that the inclusion of the present ACTPol data is consistent with no CPR detection. With the new Planck dust measurement, we update our fits of the BICEP2 CPR fluctuation constraint to be 32.8 mrad (1.88°). The joint ACTpol-BICEP2-POLARBEAR CPR fluctuation constraint is 23.7 mrad (1.36°).

15 pages, 2 figures, 2 tables, version to match the accepted submission to ApJ. Unfortunately there is a sign error in equation (6b). This propagated to equations (7b) and (8a) and to the results for α_β. The errors in the last raw of Table 1 had been overestimated and corrected

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• Gravitational waves: Classification, Methods of detection, Sensitivities, and Sources
• BICEP2 / Keck Array IX: New Bounds on Anisotropies of CMB Polarization Rotation and Implications for Axion-Like Particles and Primordial Magnetic Fields
• Future CMB constraints on cosmic birefringence and implications for fundamental physics
• Quantum Gravity: A Brief History of Ideas and Some Prospects
• On Kottler's path: origin and evolution of the premetric program in gravity and in electrodynamics
• Planck 2018 constraints on anisotropic birefringence and its cross-correlation with CMB anisotropy
• Constraints on cosmological birefringence from Planck and Bicep2/Keck data
• An efficient probe of the cosmological CPT violation
• Equivalence Principles, Spacetime Structure and the Cosmic Connection