Effects of Hawking evaporation on PBH distributions

Primordial black holes (PBHs) may lose mass by Hawking evaporation. For sufficiently small PBHs, they a large portion of their formation today, or evaporate completely if form with M<M_\mathrm{crit}\sim5\times10^{14}~\mathrm{g} M<Mcrit?5×1014g . We investigate the effect this loss on extended PBH distributions, showing that shape distribution is significantly changed between and today. reconsider \gamma display="inline">? -ray constraints dark matter in Milky Way center correctly 'evolved’ lognormal distribution, derive semi-analytic time-dependent which can be used to accurately project monochromatic constraints. also rate hole explosions per year, finding although there significant number, it extremely unlikely find one close enough Earth observe. Along more careful argument for why distributions are source an exploding population we (unfortunately) conclude witness any explosions.