Construction Beginning on LZ!

An unexpected post this time around, but I just noticed the Berkeley Labs’ press release from earlier this week announcing the start of construction of LZ – the next generation U.S. detector designed for the direct detection of dark matter. LZ (short for “LUX-ZEPLIN”) is the follow-up experiment to the LUX and ZEPLIN-III, both of which used Xenon as a detector medium to search for nuclear recoils from collisions with dark matter particles in our galaxy. Just last year LUX set the most stringent results to date on the spin-independent cross section of dark matter particles under the WIMP hypothesis (I explained the WIMP miracle briefly in my last post, in the context of the DAMA experiment).

To understand what LZ is setting out to do, it’s helpful to first look at what LUX accomplished. Because we know the density of dark matter particles in the local part of the galaxy, we can write down the number of expected signals from dark matter scatters in terms of two quantities: the dark matter particle’s mass and it’s interaction cross section (the cross section is related to the strength of the dark matter particle’s interaction with nuclei). Then, based on the number of recoils seen (or not seen) in a detector, we can set a limit in this parameter space. When we do this, we’re essentially saying that if the dark matter particle had mass X (say, 10 GeV/c^2), we know that it’s cross section has to be less than Y, or else we would have seen more signals. Since the excluded cross section depends on the mass, we can draw the excluded “region” in the mass-cross section plane, and get plots like this:

Spin-Independent limits for dark matter detection in the mass-cross section plane, as of 2013. Courtesy http://newscenter.lbl.gov.

In this plot, the upper right regions above the curves are excluded by different experiments. The shaded regions are those that are excluded, while the dashed lines are the expected exclusion regions based on future experiments (assuming they don’t see anything!) If you look carefully, you can see that for a wide range of mass values, the limits from LUX in 2013 were the most stringent to date at the time. Their updated limits that were just released last month are essentially at the dashed line labelled “LUX 300-day”1.

(footnote: unfortunately, I wasn’t able to find an updated plot with the latest limits from all experiments, but the expected curves shown here are essentially the same as the latest results.)

On this plot, you can also see the expected results from a full run of LZ – as the article above notes, LZ’s biggest competitors are the XENON1T experiment in Italy and PandaX-II in Japan. All three experiments have similar construction schedules and should have relatively comparable sensitivities, so the pressure is on to see who can put out the best results first. This is a great example of competition driving innovations in experimental physics – all three detectors are based on the same principle and use liquid xenon as their detector material, but they will each have a variety of strategies to try and make the most of their results. You can read a bit more about the competition in Symmetry Magazine’s article and in the Berkeley Lab press release above.

One last thing that I can’t help but make note of while I’m on the subject – if you looked at the plot above you probably couldn’t help but notice the shaded yellow region in the bottom left marked off by the thick dashed orange line. These regions aren’t excluded, but they denote the parameter space where we expect to see what’s called coherent neutrino scattering. When the dark matter detectors reach this level of sensitivity, they’ll be sensitive to neutrino recoils off the nuclei in the detector, which have a very similar signal to dark matter recoils. These coherent neutrino scatters have never been observed, but once we reach this region, it will be tough to continue setting new limits as we might not be able to tell whether a signal was due to dark matter or an ordinary neutrino. For this reason, this region is often called the “neutrino floor”. If you look carefully, you can see that there is a small space where the expected LZ curve enters this region – it might not be long before we hit this floor! Some research is already underway into techniques that could be used to discriminate between neutrino events and dark matter events – I’ll have a lot more to say on these later.


1Unfortunately, I wasn’t able to find an updated plot with the latest limits from all experiments, but the expected curves shown here are essentially the same as the latest results.

Dark Matter and DAMA, Part I: The anomaly

As the new year begins with no new tantalizing signals from the LHC, perhaps it’s a good time to look back at an older experimental anomaly that has somehow survived with no satisfying explanation for almost two decades: the annual fluctuations in the DAMA experiment. As one might expect for an anomaly that’s been around this long, there’s a lot of material (and some controversy) to unpack here. In this posting I’m going to try and explain what DAMA set out to do and what they observed. Next time around, I’ll try to dig into some of the controversies — both scientific and political — that have prevented a consensus interpretation of DAMA’s results.

Direct Detection of Dark Matter

DAMA is one of many so-called ‘direct detection’ experiments searching for dark matter in the local part of our galaxy. The basic premise is as follows: we have good cosmological reasons to believe that there is some type of massive particle permeating our galaxy, and in particular our solar system. These particles are massive, but their mass could be essentially anything, they must be electrically neutral (or else we’d have seen them), but they could in principle interact with ordinary matter through some much weaker force. Thus, these particles would whiz around in our solar system, constantly passing through us and everything around us similar to the way most neutrinos do. While we don’t know exactly what type of particle could constitute the dark matter, we know that it can’t be described by anything in the standard model, and while there are countless theoretical models that propose various candidates, none have any experimental evidence thus far.

But for now, let’s suppose that the dark matter particles do have some very weak interaction with the electrons and protons we’re accustomed to (the so-called “weakly interacting massive particle”, or “WIMP” hypothesis). Then, if we take a big tank of ordinary matter and watch carefully, eventually a dark matter particle in the solar system will collide with some of the matter in our tank, causing the nucleus of the particle we’re watching to recoil with some energy that we can in principle measure. This technique is what’s called direct detection (to distinguish it from “indirect detection”, which searches for two dark matter particles colliding and annihilating to produce standard model particles — I’ll talk more about this in a post to come!)

DAMA’s twist: Annual modulations

One of the most difficult things about the direct detection methods we’ve talked so far is how to eliminate background. Since the detection material is made of ordinary matter, it interacts ordinarily through radioactive sources and cosmic rays and it’s not unexpected to see some signal in the detector even in the absence of dark matter. Most experiments deal with this by carefully shielding against and quantifying their backgrounds and/or discriminating them by some other means. The DAMA experiment takes a different approach.

The underlying idea behind DAMA is that the dark matter is distributed roughly randomly in a spherical shape throughout the galaxy, and thus since the ordinary matter in our galaxy is rotating, there is a sort of “wind” of dark matter particles passing through our solar system in one direction. Since the earth rotates around the sun roughly in this same plane, during parts of the year the earth’s movement will be with this wind — decreasing the flux of dark matter particles passing through the earth, while the other part of the year the earth’s movement will be against the wind, correspondingly increasing the flux. In contrast, the usual radioactive and cosmic backgrounds in a detector have no reason to oscillate in such a way. Thus, a detector can bypass the need to distinguish between dark matter particles and backgrounds if they can see some sort of annual oscillation in their data: if the oscillation has a one year period and the right phase, it must be the dark matter!

The Results:

DAMA set out to observe exactly this annual modulation, and to many in the community’s surprise, it wasn’t long before there was a clear oscillation in their data. The plot below shows the number of detection events per day as a function of time, with the constant part of the signal subtracted out. The solid line overlaid shows the fit to an ordinary sine-wave with a period of one year, and the phase fixed to peak when the earth is moving maximally against the rotation of the galaxy. You can read the rest of the paper for more details and some of the other check’s DAMA has done, but the data is quite clear: DAMA is observing something interacting with their detector that has exactly the annual fluctuations we expect from dark matter.

Oscillation observed by DAMA with recoil energies between 2-6 keV, adapted from doi:10.1140/epjc/s10052-010-1303-9.

If you believe everything I’ve said so far, it’s hard not to look at the plot above and believe that the dark matter question must be settled. It’s not hard to take the amplitude of the graph above, combined with the energy of the nuclear recoils in the detector and the known density of dark matter in our galaxy that we can obtain from cosmology and extract information about the mass and interaction strength of the dark matter particle. In terms of the statistical confidence level used to describe the strength of a signal, DAMA’s result shows a whopping 8.9σ detection, far surpassing the usual 5σ threshold to claim “discovery”.

Given all this, it’s somewhat surprising that the community by and large doesn’t regard the DAMA result as evidence of dark matter detection.In my next post, I’ll discuss why this is the case, and give a brief overview of how the story might be resolved in the coming years — stay tuned!

References:
[1] Bernabei, R., Belli, P., Cappella, F. et al., “Final model independent result of DAMA/LIBRA-phase 1”. Eur. Phys. J. C (2013) 73: 2648. doi:10.1140/epjc/s10052-013-2648-7.

The Bullet Cluster

There’s been a lot of press revolving around dark matter this year, coming from a lot of different directions, so before I dive into any of it I thought it’d be useful to review why we think dark matter exists in the first place. As with anything in science, a lot of the evidence for dark matter is interconnected, and it can be tough to understand why such an overwhelming majority of the physics community believes dark matter exists without wading through confusing webs of complementary astronomical and cosmological evidence. All of this makes examples that can be understood on their own particularly valuable for scientists — particularly for trying to decide among several different explanations for observations. Luckily, just such an example exists for dark matter – the so-called “Bullet Cluster”.

If you ask a typical physics student why we believe in dark matter, the answer you’re most likely to get is rotational velocity curves – not without good reason. Rotational velocity curves were some of the first evidence for dark matter (dating back to Babcock’s measurements in 1939). The basic idea is that in a spiral galaxy, most of the mass orbits the center in a disk-like shape, and knowing the amount of mass within a given radius determines the rotational velocity of the stars at that radius based on Newton’s ordinary inverse-square law you learn in high school. So if you look in a telescope and see all the stars in the galaxy, estimate their masses and observe their rotational velocities, you should be able to plot rotational velocity as a function of radius and see a characteristic shape predicted by Newtonian mechanics. A similar idea applies to elliptical galaxies and clusters of galaxies except that they aren’t in a perfect disk shape, so it’s the averages that are determined rather than the absolute rotational velocities – this goes by the name of the “Virial Theorem”, and it was first applied to galaxies and clusters by Zwicky in 1937.

So what do we see? As you might have heard, when these curves are created, the velocity doesn’t drop off past a certain distance – instead it seems to continue to increase, as though the mass within a given radius continues to increase linearly with a function of distance. Very few stars are seen at such large distances from the center of galaxies, and while clusters of galaxies contain large clouds of x-ray emitting ionized gas, it’s not nearly enough to account for the “missing mass”. This leaves us with two (obvious) possibilities: either there’s some unseen form of matter making up a substantial fraction of the masses of galaxies, or our laws of gravity are incorrect on large scales. The evidence of something being missing is overwhelming, but much of our evidence for there being some form of dark matter relies on the assumption that General Relativity is the correct description of gravity – if we throw out that assumption, it becomes very hard to distinguish between extra mass and so-called “Modified Orbital Newtonian Dynamics” (or just “MOND”).

This is where the “Bullet Cluster” comes in — the Bullet Cluster actually refers to the smaller of two clusters of galaxies that have just recently passed through each other. Galaxy clusters in general have two “baryonic” (ordinary matter) components – the luminous galaxies we can see as ordinary light and a dense gas of ionized hydrogen – in other words, free protons and electrons. This ionized hydrogen gas emits thermal X-ray radiation, but we have satellites that can see this gas just by looking at a different part of the light spectrum. The important difference between the galaxies and the gas is that the galaxies are essentially collision-less – while there are a lot of galaxies in a cluster, when two clusters collide there’s so much space in between the galaxies that to good approximation they pass right through each other. The galaxies are also largely composed of neutral matter, so they don’t interact electromagnetically. The ionized gas on the other hand is dense and because it consists of charged particles (electrons and protons), when two clusters pass through each other there’s a significant amount of “drag” on the plasma: the galaxy and plasma components of the clusters are separated. This is relatively easy to see in images of the Bullet Cluster, where false coloring is added to show the X-ray radiation in pink.

The Bullet Cluster - courtesy NASA

The Bullet Cluster – courtesy NASA

But why is all of this important for dark matter? The punchline is that the plasma is known to contribute substantially more mass to a cluster than the individual galaxies – roughly 5 to 10 times as much. Therefore, regardless of whether you believe in the “normal” gravitational force or some variant of MOND, you would expect that in the absence of dark matter the gravitational field should be strongest near the dense plasma, shown in pink, and not centered around the visible galaxies. If on the other hand, the dark matter is also collision-less (or at least very weakly self-interacting), it should behave similar to the galaxies in the clusters, and pass straight through the other clusters. In this case, we’d expect the gravitational field to be strongest in the vicinity of the galaxies, and not near the clusters. Thus the Bullet Cluster gives us a unique opportunity to test the hypothesis of dark matter against modified gravity — all that’s needed is to trace the gravitational field.

This mapping can be done by using what’s called “Weak Gravitational Lensing”. The idea is that gravity curves spacetime, which bends the path of light, so a large mass can distort the image of objects lying behind it along our line of sight. In extreme cases, we can see the images of galaxies become flattened and curved, or even spread out in what’s called an “Einstein ring”, by having the light bend around the mass on all sides. These extreme cases are called “Strong Lensing” – in weak lensing, there is still a distortion, but it might not be easily visible to the naked eye. Instead, we look at a large number of galaxy images behind the mass we’re interested in, and statistically analyze their orientation and distortion. The idea is that if we had no mass between us, a random sample of galaxies should have a totally random set of orientations, but the presence of a large mass will distort the images in such a way as to make all the images curved slightly in a circular pattern. You can see a somewhat strong example below.

abell2218

Strong Gravitational Lensing – Courtesy NASA/ESA

 

In the mid 2000’s, Clowe et al. applied this statistical technique to the Bullet Cluster, and constructed a map of the gravitational field in the bullet cluster. Their results are actually shown in the above image of the bullet cluster – the inferred mass from the gravitational field is shown in blue, and you can see clearly that the gravitational field traces the collision-less galaxies and is entirely separated from the hot plasma. The evidence here at the time was thought to be the nail in the coffin for modified gravity explanations of older results — the authors appropriately named this paper “A Direct Empirical Proof of the Existence of Dark Matter”.

As a last thought, we should note that this result doesn’t necessary preclude modified gravity – the lensing results show a clear separation between the bulk of the visible mass and the gravitational field, which necessitates some form of dark matter, but the lensing results can’t actually test whether general relativity or some more exotic theory is responsible for the lensing. That being said, existence of dark matter does remove some of the primary motivations of considering modified gravity. Some attempts have been made to reproduce these lensing results using MOND without dark matter, but doing so has proven to be extremely difficult, and the results are unconvincing. All of these results make the recent results from McGaugh et al even more compelling: if we accept that dark matter is a major component of galaxies, we’re forced to assume the dark matter has some extra interaction properties in order to reproduce their results without using modified gravity. In the end, we’ll likely have to find another independent method to distinguish between these two possibilities.

Update (Jan. 16, 2017): Sabine Hossenfelder recently provided an alternative viewpoint on the bullet cluster in her own blog. As she says in the comments, her viewpoint is certainly not the popular one (my understanding is that the best attempts at reproducing the observed separation between the gravitational field and the visible matter require neutrinos with masses in tension with the CMB, but perhaps that’s not the end of the story). In any case, the issues with many dark matter models she’s alluding to are certainly important ones to keep in mind.

References:
[1] D. Clowe, et al, “A Direct Empirical Proof of the Existence of Dark Matter”, The Astrophysical Journal Letters, Volume 648, Number 2 (2006). ArXiv:astro-ph/0608407v1.
[2] S. McGaugh, et al., “The Radial Acceleration Relation in Rotationally Supported Galaxies”, ArXiv:astro-ph/1609.05917v1.