Constraining primordial non-Gaussianity via multi-tracer technique with surveys by Euclid and Square Kilometre Array

Daisuke Yamauchi, Keitaro Takahashi, Masamune Oguri

We forecast future constraints on local-type primordial non-Gaussianity parameter ?NL with a photometric galaxy survey by Euclid, a continuum galaxy survey by Square Kilometre Array (SKA), and their combination. We derive a general expression for the covariance matrix of the power spectrum estimates of multiple tracers to show how the so-called multitracer technique improves constraints on ?NL. In particular we clarify the role of the overlap fraction of multiple tracers and the division method of the tracers. Our Fisher matrix analysis indicates that stringent constraints of ?⁡(?NL)≲1 can be obtained even with a single survey, assuming five mass bins. When Euclid and SKA phase 1 (2) are combined, constraints on ?NL are improved to ?⁡(?NL)=0.61⁢(0.50).

Physical Review D

90

083520

https://doi.org/10.1103/PhysRevD.90.083520

1407.5453