A possible mass distribution of primordial black holes implied by LIGO-Virgo

Understand

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.