Misc,

Black Holes and WIMPs: All or Nothing or Something Else

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(2020)cite arxiv:2011.01930Comment: 12 pages, 4 figures and one table.

Abstract

We consider constraints on primordial black holes (PBHs) in the mass range $( 10^-18$ - $10^15 )\,M_ødot$ if the dark matter (DM) comprises weakly interacting massive particles (WIMPs) which form halos around them and generate $\gamma$-rays by annihilations. The observed extragalactic $\gamma$-ray background then implies that the PBH DM fraction is $f^_PBH łesssim 10^-10\,( m_\chi / TeV )^1.1$ in the mass range $2 \times 10^-11\,M_ødot\,( m_\chi / TeV )^-3.2 M 3 10^11\,M_ødot\,( m_\chi / TeV )^1.1$, where $m_\chi$ and $M$ are the WIMP and PBH masses, respectively. This limit is independent of $M$ and therefore applies for any PBH mass function.For $M 2\times 10^-11\,M_ødot\,( m_\chi / TeV )^-3.2$, the constraint on $f^_PBH$ is a decreasing function of $M$ and PBHs could still make a significant DM contribution at very low masses. We also consider constraints on WIMPs if the DM is mostly PBHs. If the merging black holes recently discovered by LIGO/Virgo are of primordial origin, this would rule out the standard WIMP DM scenario. More generally, the WIMP DM fraction cannot exceed $10^-4$ for $M > 10^-9\,M_ødot$ and $m_\chi >10\,$GeV. There is a region of parameter space, with $M 10^-11\,M_ødot$ and $m_\chi łesssim 100\,$GeV, in which WIMPs and PBHs can both provide some but not all of the DM, so that one requires a third DM candidate.

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