updating synchrotron

[giuspugl]

Updates on Synchrotron

This PR will homogeneize the synchrotron models to the latest updates implemented on dust :

• input templates the same as before: HASLAM (rescaled to 23GHz and WMAP K-band, smoothed at 2deg)

• two pivot scales ell1=36,ell2=400 for small scale injection

• spectral indices for EE, BB coming from literature , Planck 2018 :
  i. alpha_TT=alpha_TE= -1
  ii. alpha_EE = -0.84
  iii. alpha_BB= -0.78
  Notice that for TT and TE the value is justified by what actually see in the spectra of input maps :
  

• small scales have with non-zero TE

• Modulation of qu maps with a single map, p:
  i. to avoid modulation w/ negative values,
  ii. to preserve non-zero TE

• we propose to modulate polarization small scales as it has been done in pysm2(https://arxiv.org/pdf/1608.02841.pdf) , with a couple of differences:
  i. small scales are expected to be injected with non-gaussian content (thanks to the logpoltens formalism);
  ii. split the sky with high reso pixels (nside=8) ;
  iii. use amplitude of E-mode spectra to derive the modulation template

Validation

TT, TE, EE, BB Power Spectra at different GAL masks

E-to- B ratio at different GAL masks

EE BB spectra in small patches

Polarization Fraction pixel distribution

Notebook and final synchrotron maps

Notebook can be found here
Maps available at NERSC :/global/cscratch1/sd/giuspugl/cmbs4/pysm_validation/synchro_pysmmod.fits

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[zonca]

PR targeted the wrong notebook, see #134