Probing the Running of Primordial Bispectrum and Trispectrum using CMB Spectral Distortions. (arXiv:1812.11486v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Emami_R/0/1/0/all/0/1">Razieh Emami</a> (Harvard University)

We compute the impact of the running of higher order density correlation
functions on the two point functions of CMB spectral distortions (SD). We show
that having some levels of running enhances all of the SDs by few orders of
magnitude which might make them easier to detect. Taking a reasonable range for
$ |n_{f_{NL}}|< 1.5$ and with $f_{NL} = 5$ we show that for PIXIE like experiment, the signal to noise ratio, $(S/N)_{i}$, enhances to $lesssim 10^4$ and $lesssim 30$ for $mu T$ and $yT$ toward the upper limit of $n_{f_{NL}}$. In addition, assuming $ |n_{tau_{NL}}|< 1.5$ and $tau_{NL} = 10^4$, $(S/N)_{i}$ increases to $lesssim 10^{12}$, $lesssim 10^9$ and $lesssim 10^5$ for $mumu$, $mu y$ and $yy$, respectively. Therefore CMB spectral distortion can be a direct probe of running of higher order correlation functions in the near future.

We compute the impact of the running of higher order density correlation
functions on the two point functions of CMB spectral distortions (SD). We show
that having some levels of running enhances all of the SDs by few orders of
magnitude which might make them easier to detect. Taking a reasonable range for
$ |n_{f_{NL}}|< 1.5$ and with $f_{NL} = 5$ we show that for PIXIE like
experiment, the signal to noise ratio, $(S/N)_{i}$, enhances to $lesssim 10^4$
and $lesssim 30$ for $mu T$ and $yT$ toward the upper limit of $n_{f_{NL}}$.
In addition, assuming $ |n_{tau_{NL}}|< 1.5$ and $tau_{NL} = 10^4$,
$(S/N)_{i}$ increases to $lesssim 10^{12}$, $lesssim 10^9$ and $lesssim
10^5$ for $mumu$, $mu y$ and $yy$, respectively. Therefore CMB spectral
distortion can be a direct probe of running of higher order correlation
functions in the near future.

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