Limits on primordial non-Gaussianities from BOSS galaxy-clustering data

Abstract

We analyze the power spectrum and the bispectrum of BOSS galaxy-clustering data using the prediction from the Effective Field Theory of Large-Scale Structure at one-loop order for $\text{both}$ the power spectrum $\text{and}$ the bispectrum. With $\hat{I}›$CDM parameters fixed to Planck preferred values, we set limits on three templates of non-Gaussianities predicted by many inflationary models: the equilateral, the orthogonal, and the local shapes. After validating our analysis against simulations, we find $f_{\mathrm{NL}}^{equil.}=207\pm 292,f_{\mathrm{NL}}^{orth.}=-68\pm 73,f_{\mathrm{NL}}^{loc.}=52\pm 34$, at $68\%$ confidence level. These bispectrum-based constraints from Large-Scale Structure, not far from the ones of WMAP, suggest promising results from upcoming surveys.

18+19 pages, 8 figures; v3, PRD accepted version, improved pipeline and presentation, results not significantly changed