Effects of Hawking evaporation on PBH distributions
  Primordial black holes (PBHs) lose mass by Hawking evaporation. For
sufficiently small PBHs, they may lose a large portion of their formation mass
by today, or even evaporate completely if they form with mass
$M<M_{\mathrm{crit}}\sim5\times10^{14}~\mathrm{g}$. We investigate the effect
of this mass loss on extended PBH distributions, showing that the shape of the
distribution is significantly changed between formation and today. We
reconsider the $\gamma$-ray constraints on PBH dark matter in the Milky Way
center with a correctly `evolved' lognormal distribution, and derive a
semi-analytic time-dependent distribution which can be used to accurately
project monochromatic constraints to extended distribution constraints. We also
derive the rate of black hole explosions in the Milky Way per year, finding
that although there is a significant number, it is extremely unlikely to find
one close enough to Earth to observe. Along with a more careful argument for
why monochromatic PBH distributions are unlikely to source an exploding PBH
population today, we (unfortunately) conclude that we are unlikely to witness
any PBH explosions.
