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Some inflationary models predict the existence of isocurvature primordialfluctuations, in addition to the well known adiabatic perturbation. Such mixedmodels are not yet ruled out by available data sets. In this paper we explorethe possibility of obtaining better constraints on the isocurva- turecontribution from future astronomical data. We consider the axion and curvatoninflationary scenarios, and use Planck satellite experimental specificationstogether with SDSS galaxy survey to forecast for the best parameter errorestimation by means of the Fisher information matrix formal- ism. Inparticular, we consider how CMB lensing information can improve this forecast.We found substantial improvements for all the considered cosmologicalparameters. In the case of isocurvature amplitude this improvement is stronglymodel dependent, varying between less than 1% and above 20% around its fiducialvalue. Furthermore, CMB lensing enables the degeneracy break between theisocurvature amplitude and correlation phase in one of the models. In thissense, CMB lensing information will be crucial in the analysis of future data.

Forecasting isocurvature models with CMB lensing information: axion and curvaton scenarios