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Future Cosmic Microwave Background (CMB) satellite missions aim at using theB-mode polarisation signal to measure the tensor-to-scalar ratio $r$ with asensitivity $\sigma(r)$ of the order of $\leq 10^{-3}$. Small uncertainties inthe characterisation of instrument properties such as the spectral filters canlead to a leakage of the intensity signal to polarisation and can possibly biasany measurement of a primordial signal. In this paper we discuss methods foravoiding and correcting for the intensity to polarisation leakage due tobandpass mismatch among detector sets. We develop a template fitting map-makerto obtain an unbiased estimate of the leakage signal and subtract it out of thetotal signal. Using simulations we show how such a method can reduce the biason the observed B-mode signal by up to $3$ orders of magnitude in power.

Bandpass mismatch error for satellite CMB experiments II: Correcting for the spurious signal