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Rotation of the CMB polarisation by foreground lensing
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We investigate the weak lensing corrections to the CMB polarization anisotropies. We concentrate on the effect of rotation and show that the rotation of polarisation is a true physical effect which has to be taken into account at second order in perturbation theory. We clarify inconsistencies on the treatment of this rotation in the recent literature. We also show that at first order in perturbation theory there is no rotation of polarisation also for vector and tensor modes.
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Detecting rotation from lensing in the CMB
If lensing field rotation also rotates CMB polarization, SPT-3G plus galaxy-survey templates should detect the effect at SNR~7, and CMB-S4 deep could detect it internally at 3.9σ.
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