Constraints on Primordial Non-Gaussianity from Large Scale Structure
  Probes
  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 $f_{\rm NL}=48\pm20$, $f_{\rm NL}=50\pm265$ and $f_{\rm
NL}=183\pm95$ at 68% confidence level for local, equilateral and enfolded
templates, respectively. Furthermore, we explore the constraint on the cubic
correction $g_{\rm NL}\phi^3$ on the bias of dark matter haloes and obtain a
limit of $-1.2\times10^5<g_{\rm NL}<11.3\times10^5$ at 95% confidence level.
