Neutrinos and dark energy constraints from future galaxy surveys and CMB
  lensing information
  We explore the possibility of obtaining better constraints from future
astronomical data by means of the Fisher information matrix formalism. In
particular, we consider how cosmic microwave background (CMB) lensing
information can improve our parameter error estimation. We consider a massive
neutrino scenario and a time-evolving dark energy equation of state in the
$\Lambda$CDM framework. We use Planck satellite experimental specifications
together with the future galaxy survey Euclid in our forecast. We found
improvements in almost all studied parameters considering Planck alone when CMB
lensing information is used. In this case, the improvement with respect to the
constraints found without using CMB lensing is of 93% around the fiducial value
for the neutrino parameter. The improvement on one of the dark energy parameter
reaches 4.4%. When Euclid information is included in the analysis, the
improvements on the neutrino parameter constraint is of approximately 128%
around its fiducial value. The addition of Euclid information provides smaller
errors on the dark energy parameters as well. For Euclid alone, the FoM is a
factor of $\sim$ 29 higher than that from Planck alone even considering CMB
lensing. Finally, the consideration of a nearly perfect CMB experiment showed
that CMB lensing cannot be neglected specially in more precise future CMB
experiments since it provided in our case a 6 times better FoM in respect to
the unlensed CMB analysis .
