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Optical Depth, Reionization of the Universe and Neutrino Masses

This is the repo for the "Optical Depth, Reionization of the Universe and Neutrino Masses" projet paper.

Reionization history

We used two models as mock data (see LB_fiducials_mock)

Likelihood description

  • Planck: Planck data are spread into three different likelihoods following the original version of the Planck likelihoods.

    • Planck lowT: likelihood based on the PR3 low-ℓ TT posterior distributions of measured $C_\ell$ fitted with a Wishart ($\alpha_\ell, \beta_\ell$). We then rescaled to the mock fiducial model with $\beta_\ell \longrightarrow \beta_\ell^{\rm mock} = (\alpha_\ell+1)C_{\ell,{\rm mock}}^{TT}$. Multipole range available $\ell \in [2,29]$.

    • Planck lowE: Hamimeche&Lewis approximation using the Planck PR4 covariance matrix (LoLLiPoP) evaluated at the mock fiducial spectrum. Multipole range available $\ell \in [2,29]$.

    • Planck high-ℓ (TT,TE,EE): Gaussian likelihood for TT , TE and EE power spectra, with the full covariance matrix from the PR3 Planck-lite likelihood (marginalised over foreground parameters). Multipole range available $\ell \in [30,2508]$.

  • LiteBIRD: Wishart likelihood for TT , TE, and EE spectra, using beam-deconvolved noise spectra including foreground residuals after ILC and an effective sky fraction fsky ∈ {0.7, 0.8} from E-mode group. Multipole range available (depending on the noise file).

  • Simons-Observatory: Wishart likelihood with noise curves including foreground residuals. Multipole range available (depending on the noise file).

  • CMB-S4: Wishart likelihood with noise curves including foreground residuals. Multipole range available (depending on the noise file).

Datasets noise

Noises are described in LB_fiducials_noises

Reionization models

We fit the data with 4 different models:

  • tanh: tanh model with $z_{reio}$ ($\Delta z$ fixed)
  • tanhdz: tanh model with $z_{reio}$ and $\Delta z$
  • flex1: FlexKnot model with 3 knots ( (z1=0,xe1=1.08), (z2,xe2=1.08), (z3,xe3=0) )
  • flex2: FlexKnot model with 4 knots ( (z1=0,xe1=1.08), (z2,xe2=1.08), (z3,xe3), (z4,xe4=0) )

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Repository for the reionization project paper

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