Constraining equilateral-type primordial non-Gaussianities from imaging surveys

We investigate expected constraints on equilateral-type primordial non-Gaussianities from future/ongoing imaging surveys, making use of the fact that they enhance the halo/galaxy bispectrum on large scales. As model parameters to be constrained, in addition to fNLequil, which is related to the primordial bispectrum, we consider gNL(∂σ)4, which is related to the primordial trispectrum that appeared in the effective field theory of inflation. After calculating the angular bispectra of the halo/galaxy clustering and weak gravitational lensing based on the integrated perturbation theory, we perform Fisher matrix analysis for three representative surveys. We find that among the three surveys, the tightest constraints come from Large Synoptic Survey Telescope; its expected 1σ errors on fNLequil and gNL(∂σ)4 are respectively given by 7.0×102 and 4.9×107. Although this constraint is somewhat looser than the one from the current cosmic microwave background observation, since we obtain it independently, we can use this constraint as a cross-check. We also evaluate the uncertainty with our results caused by using several approximations and discuss the possibility to obtain tighter constraint on fNLequil and gNL(∂σ)4.