1.  C2 apodization on xpol

• using C2 apodization from NaMaster package
• Nside=128, fwhmdeg = 0.5 + pixwin, r=0.001, fsky=0.7 (planck/Litebird-like mask)
• Apodizations are {$ \theta^* = [0.6, 0.8, 1.0, 2.0, 3.0, 4.0, 5.0, 7.0, 10.0] $} from red to blue.

{$ \theta^* = 0.6 $}	{$ \theta^* = 5.0 $}	{$ \theta^* = 10.0 $}

	0.0 muK.arcmin	50.0 muK.arcmin
spectum mean
spectum residues {$ R_\ell = (\hat C_\ell - C_\ell)/(\sqrt{\sigma^2(C_\ell)/ n_{simu} } ) $}
{$\sigma(C_\ell^{\theta^*})/\sigma(C^{\theta^*=0.6}_\ell) $}
{$\sigma(D_\ell^{\theta^*}) $}

special case sigma cl : apo = [0.6, 7.0, 10.0] = [blue, red, green]

• observations :
  • no bias, as small as can be the apodization lenght ({$ \theta^*=0.6 $} ). Lower apodization lenght break NaMaster routines.
  • high apodization lenght usefull for BB variance with low noise only.