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Cosmological CPT violation will rotate the polarized direction of CMBphotons, convert partial CMB E mode into B mode and vice versa. It willgenerate non-zero EB, TB spectra and change the EE, BB, TE spectra. Thisphenomenon gives us a way to detect the CPT-violation signature from CMBobservations, and also provides a new mechanism to produce B mode polarization.In this paper, we perform a global analysis on tensor-to-scalar ratio $r$ andpolarization rotation angles based on current CMB datasets with both low $\ell$(Planck, BICEP2/Keck Array) and high $\ell$ (POLARBEAR, SPTpol, ACTPol).Benefited from the high precision of CMB data, we obtain the isotropic rotationangle $\bar{\alpha} = -0.01^\circ \pm 0.37^\circ $ at 68% C.L., the variance ofthe anisotropic rotation angles $C^{\alpha}(0)<0.0032\,\mathrm{rad}^2$, thescale invariant power spectrum $D^{\alpha\alpha}_{\ell \in [2, 350]}<4.71\times10^{-5} \,\mathrm{rad}^2$ and $r<0.057$ at 95% C.L.. Our result shows that withthe polarization rotation effect, the 95% upper limit on $r$ gets tightened by17%.

Joint constraint on primordial gravitational waves and polarization rotation angle with current CMB polarization data