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Cosmic birefringence is the in-vacuo, frequency independent rotation of thepolarization plane of linearly polarized radiation, induced by aparity-violating term in the electromagnetic Lagrangian. We implement anharmonic estimator for the birefringence field that only relies on the CMB E toB mode cross-correlation, thus suppressing the effect of cosmic variance fromthe temperature field. We derive constraints from Planck public releases 3 and4, revealing a cosmic birefringence power spectrum consistent with zero atabout $2\sigma$ up to multipole $L=1500$. Moreover, we find that thecross-correlations of cosmic birefringence with the CMB T-, E- and B-fields arealso well compatible with null. The latter two cross-correlations are providedhere for the first time up to $L=1500$.

Planck constraints on Cosmic Birefringence and its cross-correlation with the CMB