Tuesdays 10:30 - 11:30 | Fridays 11:30 - 12:30
Showing votes from 2020-11-03 11:30 to 2020-11-06 12:30 | Next meeting is Tuesday Dec 30th, 10:30 am.
We consider constraints on primordial black holes (PBHs) in the mass range $( 10^{-18}$ - $10^{15} )\,M_{\odot}$ 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 $f^{}_{\rm PBH} \lesssim 10^{-10}\,( m_{\chi} / {\rm TeV} )^{1.1}$ in the mass range $2 \times 10^{-11}\,M_{\odot}\,( m_{\chi} / {\rm TeV} )^{-3.2} \lesssim M \lesssim 3 \times 10^{11}\,M_{\odot}\,( m_{\chi} / {\rm TeV} )^{1.1}$, 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 $M \lesssim 2\times 10^{-11}\,M_{\odot}\,( m_{\chi} / {\rm TeV} )^{-3.2}$, the constraint on $f^{}_{\rm PBH}$ 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 $M > 10^{-9}\,M_{\odot}$ and $m_{\chi} >10\,$GeV. There is a region of parameter space, with $M \lesssim 10^{-11}\,M_{\odot}$ and $m_{\chi} \lesssim 100\,$GeV, in which WIMPs and PBHs can both provide some but not all of the DM, so that one requires a third DM candidate.