Future Cosmic Microwave Background (CMB) satellite missions aim to use the B mode polarization to measure the tensor-to-scalar ratio r with a sensitivity σ r < ∼ 10 −3 . Achieving this goal will not only require sufficient detector array sensitivity but also unprecedented control of all systematic errors inherent to CMB polarization measurements. Since polarization measurements derive from differences between observations at different times and from different sensors, detector response mismatches introduce leakages from intensity to polarization and thus lead to a spurious B mode signal. Because the expected primordial B mode polarization signal is dwarfed by the known unpolarized intensity signal, such leakages could contribute substantially to the final error budget for measuring r. Using simulations we estimate the magnitude and angular spectrum of the spurious B mode signal resulting from bandpass mismatch between different detectors. It is assumed here that the detectors are calibrated, for example using the CMB dipole, so that their sensitivity to the primordial CMB signal has been perfectly matched. Consequently the mismatch in the frequency bandpass shape between detectors introduces differences in the relative calibration of galactic emission components. We simulate this effect using a range of scanning patterns being considered for future satellite missions. We find that the spurious contribution to r from reionization bump on large angular scales ( < 10) is ≈ 10 −3 assuming large detector arrays and 20 percent of the sky masked. We show how the amplitude of the leakage depends on the angular coverage per pixels that results from the scan pattern.
IntroductionMeasurements of the cosmic microwave background (CMB) provide a rich data set for studying cosmology and astrophysics and for placing stringent constraints on cosmological models. In particular, the ESA Planck satellite mission has produced full sky maps in both temperature and polarization at unprecedented sensitivity in nine broad (∆ν/ν ≈ 0.3) microwave frequency bands [1].Conventional cosmological models predict that the CMB is linearly polarized, so that the fourth Stokes parameter V vanishes. CMB polarization patterns can be decomposed in two components known as the E and B modes, respectively of even and odd parity. In linear cosmological perturbation theory, scalar perturbations produce E mode polarization but are unable to produce any B mode polarization at linear order. The E mode polarization angular power spectrum can be predicted from a model fitted to the measured T anisotropies. The WMAP [2] and Planck [3] space missions, complemented on smaller angular scales by ACT [4] and SPT [5], have already measured the E mode polarization power spectrum up to high multipole number , even if the accuracy of the measurement can still be substantially improved. On the other hand, the odd parity (or pseudo-scalar) polarization pattern called the B mode arises either from primordial tensor perturbations, or equivalently primordial gravitational wa...