Probing the Running of Primordial Bispectrum and Trispectrum using CMB Spectral Distortions

Abstract

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 $|n_{f_{NL}}|\lesssim 1.1$ and with $f_{NL}=5$ we show that for PIXIE like experiment, the signal to noise ratio, $(S/N{)}_i$, enhances to $\lesssim 4000$ and $\lesssim 10$ for $\mu T$ and $yT$ toward the upper limit of $n_{f_{NL}}$. In addition, assuming $|n_{{\tau }_{NL}}|<1$ and ${\tau }_{NL}=10^3$, $(S/N{)}_i$ increases to $\lesssim 8\times 10^6$, $\lesssim 10^4$ and $\lesssim 18$ for $\mu \mu$, $\mu y$ and $yy$, respectively. Therefore CMB spectral distortion can be a direct probe of running of higher order correlation functions in the near future.

arXiv comment8 pages, 7 figures, Accepted for publication in prd

References in corpus (22)

• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Determination of Inflationary Observables by Cosmic Microwave Background Anisotropy Experiments
• Scale-dependent non-Gaussianity probes inflationary physics
• A New Window on Primordial non-Gaussianity
• Scale-dependent bias of galaxies and mu-type distortion of the cosmic microwave background spectrum from single-field inflation with a modified initial state
• Probing the scale dependence of non-Gaussianity with spectral distortions of the cosmic microwave background
• Testing the Running of non-Gaussianity through the CMB mu-distortion and the Halo Bias
• First constraints on the running of non-Gaussianity
• Evolution of CMB spectral distortion anisotropies and tests of primordial non-Gaussianity
• Extracting foreground-obscured $\mu$-distortion anisotropies to constrain primordial non-Gaussianity
• Spectral distortion anisotropies from single-field inflation
• Observational Constraints on the Primordial Curvature Power Spectrum
• Primordial non-Gaussianity with $\mu$-type and $y$-type spectral distortions: exploiting Cosmic Microwave Background polarization and dealing with secondary sources
• CMB distortion anisotropies due to the decay of primordial magnetic fields
• Correlating CMB Spectral Distortions with Temperature: what do we learn on Inflation?
• CMB constraints on running non-Gaussianity
• Cosmological constraints from $\mu E$ cross-correlations
• Angular dependence of primordial trispectra and CMB spectral distortions
• Cross-correlation between thermal Sunyaev-Zeldovich effect and the integrated Sachs-Wolfe effect
• Exploring compensated isocurvature perturbations with CMB spectral distortion anisotropies
• CMB Spectral $\mu$-Distortion of Multiple Inflation Scenario
• CMB spectroscopy at third-order in cosmological perturbations