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STPpol, POLARBEAR and BICEP2 have recently measured the cosmic microwavebackground (CMB) B-mode polarization in various sky regions of several tens ofsquare degrees and obtained BB power spectra in the multipole range 20-3000,detecting the components due to gravitational lensing and to inflationarygravitational waves. We analyze jointly the results of these three experimentsand propose modifications of their analysis of the spectra to include in themodel, in addition to the gravitational lensing and the inflationarygravitational waves components, also the effects induced by the cosmicpolarization rotation (CPR), if it exists within current upper limits. Althoughin principle our analysis would lead also to new constraints on CPR, inpractice these can only be given on its fluctuations <{\delta}{\alpha}^2>,since constraints on its mean angle are inhibited by the de-rotation which isapplied by current CMB polarization experiments, in order to cope with theinsufficient calibration of the polarization angle. The combined data fits fromall three experiments (with 29% CPR-SPTpol correlation, depending ontheoretical model) gives constraint <{\delta}{\alpha}^2>^1/2 < 27.3 mrad(1.56{\deg}) with r = 0.194 \pm 0.033. These results show that the present dataare consistent with no CPR detection and the constraint on CPR fluctuation isabout 1.5{\deg}. This method of constraining the cosmic polarization rotationis new, is complementary to previous tests, which use the radio and optical/UVpolarization of radio galaxies and the CMB E-mode polarization, and adds a newconstraint for the sky areas observed by SPTpol, POLARBEAR and BICEP2.

New Constraints on Cosmic Polarization Rotation from B-Mode Polarization in Cosmic Microwave Background