4.7 Article

Quantifying the non-Gaussianity in the EoR 21-cm signal through bispectrum

Journal

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 476, Issue 3, Pages 4007-4024

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/mnras/sty535

Keywords

methods: numerical; dark ages, reionization, first stars

Funding

  1. European Research Council under ERC grant [638743-FIRSTDAWN]
  2. Science and Technology Facilities Council
  3. Munich Institute for Astro and Particle Physics (MIAPP) of the DFG cluster of excellence 'Origin and Structure of the Universe'

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The epoch of reionization (EoR) 21-cm signal is expected to be highly non-Gaussian in nature and this non-Gaussianity is also expected to evolve with the progressing state of reionization. Therefore the signal will be correlated between different Fourier modes (k). The power spectrum will not be able capture this correlation in the signal. We use a higher order estimator - the bispectrum - to quantify this evolving non-Gaussianity. We study the bispectrum using an ensemble of simulated 21-cm signal and with a large variety of k triangles. We observe two competing sources driving the non-Gaussianity in the signal: fluctuations in the neutral fraction (X-HT) field and fluctuations in the matter density field. We find that the non-Gaussian contribution from these two sources varies, depending on the stage of reionization and on which k modes are being studied. We show that the sign of the bispectrum works as a unique marker to identify which among these two components is driving the non-Gaussianity. We propose that the sign change in the bispectrum, when plotted as a function of triangle configuration cos 0 and at a certain stage of the EoR can be used as a confirmative test for the detection of the 21-cm signal. We also propose a new consolidated way to visualize the signal evolution (with evolving (x) over bar (HT) or redshift), through the trajectories of the signal in a power spectrum and equilateral bispectrum i.e. P(k) - B(k, k, k) space.

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