Measuring our Peculiar Velocity by\"Pre-deboosting\" the CMB

Measuring our Peculiar Velocity by\"Pre-deboosting\" the CMB

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Measuring our Peculiar Velocity by\"Pre-deboosting\" the CMB It was recently shown that our peculiar velocity with respect to the CMB induces mixingamong multipoles and o-diagonal correlations at all scales which can be used as a measurementof , which is independent of the standard measurement using the CMB temperature dipole. Theproposed techniques rely however on a perturbative expansion which breaks down for ` & 1= 800.Here we propose a technique which consists of deboosting the CMB temperature in the time-ordereddata and show that it extends the validity of the perturbation analysis multipoles up to ` 10000.We also obtain accurate tting functions for the mixing between multipoles valid in a full non-linear treatment. Finally we forecast the achievable precision with which these correlations can bemeasured in a number of current and future CMB missions. We show that Planck could measurethe velocity with a precision of around 60 km/s, ACTPol in 4 years around 40 km/s, while proposedfuture experiments could further shrink this error bar ...

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