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Isocurvature perturbations with a blue power spectrum are one of the naturaltargets for the future large scale structure observations which are probingshorter length scales with greater accuracy. We present a Fisher forecast forthe Euclid and MegaMapper (MM) experiments in their ability to detect blueisocurvature perturbations. We construct the theoretical predictions in theEFTofLSS and bias expansion formalisms at quartic order in overdensities whichallows us to compute the power spectrum at one loop order and bispectrum attree level and further include theoretical error at the next to leading orderfor the covariance determination. We find that Euclid is expected to provide atleast a factor of few improvement on the isocurvature spectral amplitudecompared to the existing Planck constraints for large spectral indices while MMis expected to provide about 1 to 1.5 order of magnitude im provement for abroad range of spectral indices. We find features that are specific to the blueisocurvature scenario including the leading parametric degeneracy being withthe Laplacian bias and a UV sensitive bare sound speed parameter.

Search for Isocurvature with Large-scale Structure: A Forecast for Euclid and MegaMapper using EFTofLSS