Abstract
The merger rate of primordial black holes depends on their initial
clustering. In the absence of primordial non-Gaussianity correlating short and
large-scales, primordial black holes are distributed à la Poisson at the time
of their formation. However, primordial non-Gaussianity of the local-type may
correlate primordial black holes on large-scales. We show that future
experiments looking for CMB $\mu$-distortion will test the hypothesis of
initial primordial black hole clustering induced by local non-Gaussianity.
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