Pointing error and T to B leakage

Following the 2018-02-21 telecon, I enclose a few slides 1) showing how the temperature signal affects the BB power spectrum measurement because of the reconstructed pointing error, which acts as an extra source of noise. It applies the formalism described in Appendix F of the QuickPol paper ( Hivon, Mottet & Ponthieu, 2017, A&A 598, A25).

Contrary to Mattias in his notes on the leakage from EE to BB for EBEX, and presented by Joy during that same telecon, it was assumed that the pointing noise is white up to the pixel scale (ie up to multipole <math>\ell_{\rm{s}} \sim 7000</math> for Nside=2048 pixels). In that case a residual pointing reconstruction error of rms = 10'' is required to keep the added noise just below the lensing BB (red curves), and a rms = 1'' to divide that noise power by 100.
Results for more complex pointing error (smaller <math>\ell_{\rm{s}}</math>) are underway.


Additional material

1)
there is a typo is the last equation of the 2nd page with a factor <math>\Omega_{\rm{pix}}</math> (pixel area) missing on the rhs member