Clustering of primordial black holes with non-Gaussian initial fluctuations. (arXiv:1906.04958v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Suyama_T/0/1/0/all/0/1">Teruaki Suyama</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Yokoyama_S/0/1/0/all/0/1">Shuichiro Yokoyama</a>
We formulate two-point correlation function of primordial black holes (PBHs)
at their formation time, based on the functional integration approach which has
been often used in the context of clustering of the halos. We find that the PBH
clustering on super-Hubble scales could be never induced in the case where the
initial primordial fluctuations are Gaussian, while it can be enhanced by the
so-called local-type trispectrum (4-point correlation function) of the
primordial curvature perturbations.
We formulate two-point correlation function of primordial black holes (PBHs)
at their formation time, based on the functional integration approach which has
been often used in the context of clustering of the halos. We find that the PBH
clustering on super-Hubble scales could be never induced in the case where the
initial primordial fluctuations are Gaussian, while it can be enhanced by the
so-called local-type trispectrum (4-point correlation function) of the
primordial curvature perturbations.
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