New constraints on cosmic polarization rotation from the ACTPol cosmic
  microwave background B-Mode polarization observation and the BICEP2
  constraint update
  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 <{\alpha}> and its fluctuation
<{\delta}{\alpha}2> 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 |<{\alpha}>| < 14 mrad
(0.8{\deg}) and the fluctuation (rms) is constrained from the BB correlation
power spectra to <{\delta}{\alpha}2>1/2 < 29.3 mrad (1.68{\deg}). Assuming that
the polarization angle of Tau A does not change from 89.2 to 146 GHz, the
ACTPol data give <{\alpha}> = 1.0 {\pm} 0.63{\deg}. 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{\deg}). The joint
ACTpol-BICEP2-POLARBEAR CPR fluctuation constraint is 23.7 mrad (1.36{\deg}).
