Abstract
The emission of particles from black holes created in the early Universe has detectable astrophysical consequences. The most stringent bound on their abundance has been obtained from the absence of a detectable diffuse flux of 100 MeV photons. Further scrutiny of these bounds is of interest as they, for instance, rule out primordial black holes as a dark matter candidate. We here point out that these bounds can, in principle, be improved by studying the diffuse cosmic neutrino flux. Measurements of near-vertical atmospheric neutrino fluxes in a region of low geomagnetic latitude can provide a competitive bound. The most favorable energy to detect a possible diffuse flux of primordial black hole origin is found to be a few MeV. We also show that measurements of the diffuse ${\ensuremath{\nu}}_{\mathrm{\ensuremath{\tau}}}$ flux is the most promising to improve the existing bounds deduced from \ensuremath{\gamma}-ray measurements. Neutrinos from individual black hole explosions can be detected in the GeV--TeV energy region. We find that the kilometer-scale detectors, recently proposed, are able to establish competitive bounds.
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