Constraints on Primordial Non-Gaussianity from Large Scale Structure Probes

Abstract

In this paper we measure the angular power spectra $C_{\ell }$ of three high-redshift large-scale structure probes: the radio sources from the NRAO VLA Sky Survey (NVSS), the quasar catalogue of Sloan Digital Sky Survey Release Six (SDSS DR6 QSOs) and the MegaZ-LRG (DR7), the final SDSS II Luminous Red Galaxy (LRG) photometric redshift survey. We perform a global analysis of the constraints on the amplitude of primordial non-Gaussianity from these angular power spectra, as well as from their cross-correlation power spectra with the cosmic microwave background (CMB) temperature map. In particular, we include non-Gaussianity of the type arising from single-field slow roll, multifields, curvaton (local type), and those which effects on the halo clustering can be described by the equilateral template (related to higher-order derivative type non-Gaussianity) and by the enfolded template (related to modified initial state or higher-derivative interactions). When combining all data sets, we obtain limits of $f_{\mathrm{NL}}=48\pm 20$, $f_{\mathrm{NL}}=50\pm 265$ and $f_{\mathrm{NL}}=183\pm 95$ at 68% confidence level for local, equilateral and enfolded templates, respectively. Furthermore, we explore the constraint on the cubic correction $g_{\mathrm{NL}}{\varphi }^3$ on the bias of dark matter haloes and obtain a limit of $-1.2\times 10^5<g_{\mathrm{NL}}<11.3\times 10^5$ at 95% confidence level.

15 pages, 4 figures, 1 table

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