Sampling-based inference of the primordial CMB and gravitational lensing

In this manuscript, the authors propose, test and validate a new inference method that overcomes the limitations of existing algorithms used to deal with the contamination of the B-mode polarization by gravitational lensing. This new algorithm can perform joint inferences of the different cosmological parameters controlling primordial CMB and lensing. It leads to a rigorous check of several important approximations underlying the CMB-S4 r-mode forecasting, sharpening the search for primordial gravitational wave signatures in the CMB.