Non-Gaussianity in the cosmic microwave background from loop quantum cosmology [CEA]

http://arxiv.org/abs/2301.05406


Primordial non-Gaussianity has set strong constraints on models of the early universe. Studies have shown that Loop Quantum Cosmology (LQC), which is an attempt to extend inflationary scenario to planck scales, leads to a strongly scale dependent and oscillatory non-Gaussianity. In particular, the non-Gaussianity function $f_{_{\rm NL}}(k_1,\, k_2,\, k_3)$ generated in LQC, though similar to that generated during slow roll inflation at small scales, is highly scale dependent and oscillatory at large wavelengths. In this work, we investigate the imprints of such a primordial bispectrum in the bispectrum of Cosmic Microwave Background (CMB). Inspired by earlier works, we propose an analytical template for the primordial bispectrum in LQC and compute the corresponding reduced bispectra of temperature and electric polarisation and their three-point cross-correlations. We show that CMB bispectra generated in LQC is consistent with the observations from Planck. We conclude with a discussion of our results and its implications to LQC.

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R. K and V. Sreenath
Mon, 16 Jan 23
41/50

Comments: 17 pages, 8 figures