Joint forecasts on primordial fluctuations and neutrino physics from future CMB and galaxy surveys

This work is dedicated to the forecasts of the precision in the measurements of cosmological parameters for the ESA M5 proposal Cosmic Origin Explorer (CORE), a satellite dedicated to the observation of the Cosmic Microwave Background (CMB) in temperature and polarization. Together with the CORE forecasts it is also studied the combination of CMB and Large Scale Structure (LSS) data with the study of the combination of CORE with the Euclid satellite, whose launch is scheduled in 2020. For comparison we include also the predictions for the combination of Euclid with the Planck satellite, the third generation mission dedicated to the CMB, launched in 2009. In order to derive the forecasts it is applied a Fisher information matrix approach, which is based on a computational structure that is lighter with respect to the standard Markov Chain Monte Carlo (MCMC) usually applied in CMB forecasts. Together with the standard cosmological model (LCDM), several interesting extensions are considered in the analysis and in particular, a possible scale dependence of the spectral index of primordial fluctuations (both running and running of running spectral index are studied), the spatial curvature and the neutrino sector, for both the number of effective relativistic species and the total neutrino mass. The results show that the CORE will be able to strongly improve current constraints on cosmological parameters and in particular, its combination with the LSS from Euclid is capable of breaking parameter degeneracies and give very precise measurements especially for extended models like the neutrino sector. The forecasts derived with the Fisher matrix approach have been compared with those based on a MCMC approach published in the Core Collaboration ECO papers dedicated to cosmological parameters and inflation. The comparison show a very good agreement between the two methods demonstrating the validity of the Fisher approach for forecasting the capabilities of future missions