F. Couchot, S. Henrot-Versille, O. Perdereau, S.Plaszczynski, B. Rouille d'Orfeuil, M. Spinelli, M. Tristram

Cosmological Parameter Estimation Comparison between Class V1.6 and Class V2.0.3

We have re-run the profile likelihoods for the Cosmological parameter estimation with the new class version in order to compare both version of the Boltzmann solver.
Scenario: Planck+WP+highL

Results for the 6 parameter Lambda_CDM are shown in the above table/plots:

ParamClass V1.6Class V2.0.3
H067.2 ^{+ 1.2}_{ - 1.2}67.3 ^{+ 1.2}_{ - 1.2}
Ocdm h^20.1201 ^{+ 0.0026}_{- 0.0026}0.1200 ^{+ 0.0026}_{- 0.0026}
Omb h^20.02208 ^{+ 0.00027}_{- 0.00027}0.02210 ^{+ 0.00027}_{- 0.00027}
Ns0.9575 ^{+ 0.0071}_{- 0.0071}0.9577 ^{+ 0.0071}_{- 0.0070}
log[10^{10}A_s]3.087 ^{+ 0.025}_{ - 0.024}3.088 ^{+ 0.025}_{ - 0.024}
Zre11.0 ^{+ 1.1}_{ - 1.1}11.1 ^{+ 1.1}_{ - 1.1}
Chi2min10508.910508.7

The corresponding plots are shown below, the color code is as follows: in Red Class V1.6 and in Green Class V2.0.3

Results when fitting Lambda_CDM + the neutrino mass

We profile the neutrino mass and fit for the 6 Lambda_CDM Cosmological parameters. The limit on sum of the neutrino masses is given at 95%CL, derived using Feldman Cousins prescription, and is given in eV.

data setUpper 95%CL limit V1.6Upper 95%CL limit V2.0.3
CMB+Lensing0.880.81
CMB+Lensing+BAO0.260.26

The corresponding profile is shown below, where the light colors correspond to the new Class V2.0.3 points.

Conclusion on the study:

  • The fit is more stable (we do manage to obtain the convergence for the profiles more often)
  • The min chi2 is a little smaller with the new Class version
  • The mean values and the errors on the Cosmological parameters are very compatible between both class versions.