We use redshift-space galaxy clustering data from the BOSS survey to constrain local primordial non-Gaussianity (LPNG). This is of particular importance due to the consistency relations, which imply that a detection of LPNG would rule out all single-field inflationary models. Our constraints are based on the consistently analyzed redshift-space galaxy power spectra and bispectra, extracted from the public BOSS data with optimal window-free estimators. We use a complete perturbation theory model including all one-loop power spectrum corrections generated by LPNG. Our constraint on the amplitude of the local non-Gaussian shape is $f_{\mathrm{NL}}^{\text{local}}=-33\pm 28$ at 68% C.L., yielding no evidence for primordial non-Gaussianity. The addition of the bispectrum tightens the $f_{\mathrm{NL}}^{\text{local}}$ constraints from BOSS by 20%, and allows breaking of degeneracies with non-Gaussian galaxy bias. These results set the stage for the analysis of future surveys, whose larger volumes will yield significantly tighter constraints on LPNG.

• Received 4 April 2022
• Accepted 20 July 2022

DOI:https://doi.org/10.1103/PhysRevD.106.043506