Testing the Running of non-Gaussianity through the CMB mu-distortion and the Halo Bias

Abstract

The primordial non-Gaussianity parameters fNL and tauNL may be scale-dependent. We investigate the capability of future measurements of the CMB mu-distortion, which is very sensitive to small scales, and of the large-scale halo bias to test the running of local non-Gaussianity. We show that, for an experiment such as PIXIE, a measurement of the mu-temperature correlation can pin down the spectral indices n_fNL and n_tauNL to values of the order of 0.3 if fNL = 20 and tauNL = 5000. A similar value can be achieved with an all-sky survey extending to redshift z ~ 1. In the particular case in which the two spectral indices are equal, as predicted in models where the cosmological perturbations are generated by a single-field other than the inflaton, then the 1-sigma error on the scale-dependence of the non-linearity parameters goes down to 0.2.

11 pages, 7 figures

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• Shot noise and biased tracers: a new look at the halo model
• Spectral distortions from the dissipation of tensor perturbations
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• Primordial non-Gaussianity with $\mu$-type and $y$-type spectral distortions: exploiting Cosmic Microwave Background polarization and dealing with secondary sources
• Angular dependence of primordial trispectra and CMB spectral distortions
• CMB $\mu T$ cross-correlations as a probe of PBH scenarios
• Constraints on Running of Non-Gaussianity from Large Scale Structure Probes
• Generalized local ansatz for scale-dependent primordial non-Gaussianities and future galaxy surveys