## Abstract

We give new constraints on small-scale non-Gaussianity of primordial curvature perturbations by the use of anisotropies in acoustic reheating. Mixing of local thermal or local kinetic equilibrium systems with different temperatures yields a locally averaged temperature rise, which is proportional to the square of temperature perturbations damping in the photon diffusion scale. Such secondary temperature perturbations are indistinguishable from the standard temperature perturbations linearly coming from primordial curvature perturbations and hence should be subdominant compared to the standard ones. We show that small-scale higher order correlation functions (connected non-Gaussian and disconnected Gaussian parts) of primordial curvature perturbations can be probed by investigating auto power spectrum of the generated secondary perturbations and the cross power spectrum with the standard perturbations. This is simply because these power spectra come from higher order correlation functions of primordial curvature perturbations with non-linear parameters such as fand τsince secondary temperature perturbations are second order effects. Thus, the observational results l(l+1)C^{TT}simeq; 6 × 10^{-10} at large scales give a robust and universal upper bound on small-scale non-Gaussianities of primordial curvature perturbations.

Original language | English |
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Article number | 049 |

Journal | Journal of Cosmology and Astroparticle Physics |

Volume | 2015 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2015 May 26 |

## Keywords

- CMBR theory
- non-gaussianity

## ASJC Scopus subject areas

- Astronomy and Astrophysics