A possible mass distribution of primordial black holes implied by
  LIGO-Virgo
  The LIGO-Virgo Collaboration has so far detected around 90 black holes, some
of which have masses larger than what were expected from the collapse of stars.
The mass distribution of LIGO-Virgo black holes appears to have a peak at
$\sim30M_{\odot}$ and two tails on the ends. By assuming that they all have a
primordial origin, we analyze the GWTC-1 (O1\&O2) and GWTC-2 (O3a) datasets by
performing maximum likelihood estimation on a broken power law mass function
$f(m)$, with the result $f\propto m^{1.2}$ for $m<35M_{\odot}$ and $f\propto
m^{-4}$ for $m>35M_{\odot}$. This appears to behave better than the popular
log-normal mass function. Surprisingly, such a simple and unique distribution
can be realized in our previously proposed mechanism of PBH formation, where
the black holes are formed by vacuum bubbles that nucleate during inflation via
quantum tunneling. Moreover, this mass distribution can also provide an
explanation to supermassive black holes formed at high redshifts.
