# Dark Matter Micro-Haloes in the Milky Way

Authors: Aurel Schneider, Lawrence M. Krauss and Ben Moore

First Author Institution: Institute for Theoretical Physics, University of Zurich, Switzerland

Big things grow in a bottom-up way from little things.  This is the basic story of structure formation in the canonical $Lambdatext{CDM}$ model; massive structures are built up via hierarchical clustering and mergers of smaller structures.  A natural question is: what are the smallest building blocks of this bottom-up process?

In order to answer this question, we must first make some assumptions about what dark matter actually is.  One popular candidate particle is the neutralino.  For the neutralino, dark matter decoupling from baryons occurs at a natural mass cutoff scale $M_text{cut} sim 10^{-4} (T_d/10 text{MeV})^{-3} M_{odot}$, where $T_d sim 10 text{MeV}$ is the decoupling temperature (see Loeb and Zaldarriaga 2005 for a detailed derivation).  Hence the smallest important dark matter structures we expect to find are on the order of $10^{-4} M_odot$, which is just tens of Earth masses!  Furthermore, these “micro-haloes” would have a size scale of about $10^{-2} text{ pc}$, making them very dense (roughly 10 particles per cubic centimeter, as compared to roughly $10^{-4}$ particles per cubic centimeter from the galactic dark matter halo).

It seems possible these dense structures, after forming at high redshift, might survive to the present-day within our own galaxy.  The authors of today’s astrobite explore this issue: could micro-haloes survive to the present day within the Milky Way?

## Simulating Micro-Halo Disruption

As micro-haloes orbit the Galactic Center, they are affected by two main tidal effects: gravitational interactions with single stars, and interaction with the gravitational potential of the galaxy itself.  The authors explore both of these effects separately using N-body simulations (which can be run using a code such as GADGET which Nathan talked about in a previous astrobite).

The effect of successive single-star interactions with a mini-halo

Single star interactions: When an individual star has a close encounter with a micro-halo, the gravitational interaction “heats up” the halo by increasing its velocity dispersion, and hence causing the halo to expand (and become less tightly bound).  The authors let their simulated micro-halo traverse a periodic box of “stars” moving with typical Milky Way speeds and dispersion.  See figure 1 (taken from the paper), which illustrates the effect of stellar disruptions.  They find that in 80 Myr (40 perpendicular passages through the disk), about half of the micro-halo mass has become unbound.  After about 160 Myr (80 disk passages), 90% of the micro-halo is unbound and the central core begins to loosen.  Finally, after 200 Myr (100 disk passages), no bound structure remains.

Tidal Disruption by Galactic potential: Depending on the shape of the potential of the host galaxy, as well as the shape of the micro-halo’s orbit, the edges of the halo can be pulled into long tidal streams.  However, this mechanism of mass loss becomes less efficient as the halo gets smaller and smaller, such that a dense core always remains.

The authors first check these effects separately, then take a stellar-interaction “pre-heated” micro-halo and let it orbit in a galactic potential to get a sense of how the two effects combine (see fig 2).

From the paper. This plot shows the disruption of the micro-haloes over time. Black line: Disruption from a purely galactic potential. Red line: Disruption from individual stellar events (note the step-function showing specific close encounters). Grey line: Galactic disruption of a micro-halo that has been "pre-heated" by 80 Myr worth of stellar disruptions

## Implications for Dark Matter Detection

The authors note that if the following two criteria were met by micro-haloes in our galaxy, then they could significantly affect our efforts to detect dark matter, simply by us being in or near a micro-halo or its tidal tail:

• Micro-haloes are abundant enough on the AU-scale to likely exist in our solar neighborhood
• Their density is comparable to the background dark matter density of the galaxy

The simulations discussed above suggest that disruptions (especially stellar interactions) destroy these halos so efficiently that neither of these criteria are met by mini-haloes in the Milky Way.  In fact, by the current time, only a fraction of the cores of the mini-halos will be bound, and even these will only have a few percent of their original mass left.  The only way, then, for our dark matter detection experiments to be strongly affected by a mini-halo is if such a halo were very close to Earth, but the authors place the probability of such a scenario at about 0.0001% (see the longer version of their paper for more details).