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

Neutrinos and dark energy constraints from future galaxy surveys and CMB lensing information