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arXiv · 1911.01329

Constraints on Running of Non-Gaussianity from Large Scale Structure Probes

Ji-Ping Dai·Jun-Qing Xia
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Abstract

In this letter we present constraints on the scale-dependent "local" type primordial non-Gaussianity, which is described by non-Gaussianity's spectral index $n_{\rm NG}$, from the NRAO VLA Sky Survey and the quasar catalog of the Sloan Digital Sky Survey (SDSS) Data Release 6, together with the SDSS Data Release 12 photo-z sample. Here, we use the auto-correlation analyses of these three probes and their cross-correlation analyses with the cosmic microwave background (CMB) temperature map, and obtain the tight constraint on the spectral index: $n_{\rm NG}=0.2 ^{+0.7}_{-1.0}$ ($1\,\sigma$ C.L.), which shows the first competitive constraint on the running of non-Gaussianity from current large-scale structure clustering data. Furthermore, we also perform the forecast calculations and improve the limit of $n_{\rm NG}$ using the future Euclid mission, and obtain the standard deviation at 68\% confidence level: $\Delta n_{\rm NG}=1.74$ when considering the fiducial value $f_{\rm NL}=3$, which provides the complementary constraining power to those from the CMB bispectrum information.

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Ji-Ping Dai, Jun-Qing Xia. 2019-11-04. Constraints on Running of Non-Gaussianity from Large Scale Structure Probes. https://doi.org/10.1093/mnrasl%2Fslz170

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