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RWTH Aachen Particle Physics Theory

Archive for April, 2019

Looking for Dark Matter: Dark(ness) at the end of a tunnel

April 24th, 2019 | by

In the last post, we introduced the “Shake It, Make It, Break It” approach for dark matter detection and talked about shaking dark matter to deduce its properties (what is usually called Direct Detection). Of course, the ideal way to study dark matter would be to create it in our laboratories, which brings us to the second approach: Make It. 

Attempts to make dark matter are carried out in particle colliders. To make dark matter we destroy light (aka visible matter). But before we go down that road, let’s have quick look at the Standard Model of Particle Physics. This model describes the physics of everything visible around us. It tells us the structure of atoms, the workings of three of the four forces governing all interactions in nature, the mechanism by which particles gain mass, the mechanism by which they decay. Essentially, it is a summary of our knowledge of particle physics. And although the standard model has been an incredible success, it appears to be somewhat incomplete. For example, we don’t yet have a particle that mediates gravity, the fourth force. We don’t know conclusively why neutrinos have mass. Or why the Higgs mass appears fine-tuned. The incompleteness of the Standard Model provides a strong motivation for additional particles. If dark matter is composed of particles, it could be one of the missing puzzle pieces in the Standard Model. And much like in an actual puzzle, we can deduce the properties of the missing piece by the space its absence has created. We can figure out which Standard Model particles are likely to talk to dark matter and build robust models around these interactions. With this basis for dark-visible interactions, we can look for them at colliders.

Since dark matter is invisible to our detectors, its presence after a collision can be deduced from the absence of the energy which it carries away.

A particle collider is used to accelerate particles to high energies, smash them together and study the resulting debris to understand the physics of nature at small (length) scales. One can look for dark matter at colliders by figuring out whether this debris matches our expectation from the Standard Model (which doesn’t include dark matter). A simple way to do this (in principle) is by using the law of conservation of energy– in any physical process, the total energy of the system remains conserved. The initial energy of the particle beams is something we know from an experiment’s design. The total energy after a collision can be reconstructed from the energy of the particles we detect. If these two numbers don’t match, we know that some of the energy has been carried away by “invisible” particles which could be potential dark matter candidates. (In practice, this is much harder to do which is one of the reasons we have an entire subgroup of physicists (theorists and experimentalists) devoted to working out the intricacies of collider physics.)

Another way to look for dark matter at colliders is by studying how the Standard Model particles produced in a collision decay. Consider the Z-boson. In the Standard Model, it can decay into quarks, leptons or neutrinos. We know the total decay width of the Z-boson which characterizes the probability that a Z-boson would decay. We can also get measurements on the individual probability of a Z-boson decaying into quarks, leptons, and neutrinos. A mismatch between these probabilities is a hint that a Z-boson decays into something else which is invisible to our detectors. Once again, we can deduce the presence of dark matter by its absence.

We’ve known for quite some time that there is more to the Universe than meets the eye. To understand it, we must exhaust all avenues available to us. Crashing particles being one of them.

Looking for Dark Matter: Trembles beneath the surface

April 2nd, 2019 | by

The ever-elusive nature of dark matter is of interest not only from a theoretical point of view –we are, after all, missing 85% of the Universe– but also from an experimental one. How exactly does one study something invisible? We can point our telescopes at the sky and study how light bends around clusters of apparent emptiness, hinting that there must be something there. We can do this with ancient light (commonly known as the CMB) and figure out exactly how much of this invisible substance is present in our Universe. We can study the structure of galaxies and galaxy clusters, the motion of stars bound to them. Everywhere we look, it seems, there is evidence for something massive lurking in the shadows. But none of these things tell us anything about what a dark matter particle* actually looks like. We cannot “trap” a dark matter particle for it can, quite literally, slip through walls. We don’t have access to it in the way we have access to, say electrons. But as humans, we are tenacious. And as scientists, we are creative. The minor problem of dark matter’s invisibility won’t stop us in our quest for answers.

In this series of (hopefully) short posts, we’ll cover the three conventional avenues of dark matter detection. The elevator pitch for these techniques? Shake It, Make It or Break It. ‘It’ being dark matter.

Shaking dark matter is as fun as it sounds. In the simplest of terms, it involves waiting for a dark matter particle to strike a target atom placed inside a detector. As a result of the collision, the state of the target atom changes. It could either get ionized, resulting in the production of free electrons which we can ‘see’ in the detector. It could absorb the energy of the dark particle and then release it in the form of a photon. Or it could release this energy as heat. In all of these cases, the collision results in a visible/detectable signature.

In a direct detection experiment, we study the effects of a dark particle colliding with a target atom like Xenon.

There are two important questions to ask now:
1. Where does the initial dark matter particle come from?
2. How can we be sure that the electrons/photons/heat we detect is actually caused by this collision? 


The answer to the first questions is fairly straight-forward. From various other measurements, we know that there is a constant (ish) dark matter flux through Earth. At any given instant, we are being bombarded with dark matter particles. To get an idea of how strong this bombardment is, consider these numbers. The dark matter flux (total dark matter mass passing through one cubic centimeter every second) is approximately 0.3\ \mathrm{GeV}/\mathrm{cm}^3. (GeV is the standard unit of mass in physics. 1 GeV is approximately 10^{-27} kg.) So if we assume a dark matter mass of 1 GeV, this amounts to roughly 0.3 dark matter particles per centimeter cubed. The average volume of a human body is 66400 cubic centimeters. Which means that in one second, about 20,000 dark matter particles zip through every person on Earth. Given that dark matter is weakly interacting, it is no surprise that we don’t notice this constant flux. But given that the flux is substantial, we can hope to detect these particles by building detectors that are large enough. A larger detector volume means more dark particles passing through and hence a higher probability of collision.

Which automatically brings us to question two. How can we be sure that the cause of a signal in our detector is a dark matter-target atom collision. The short answer to this is we’re extremely meticulous. For every experiment, there is a ‘background’ that we need to be aware of. A background is basically “noise” which makes it hard to see the actual signal. In this case, any other particle colliding with the target would give rise to a background signal. A major part of these experiments is to account for all possible backgrounds and reduce this noise as much as possible. The first step in doing this is to build the detector underground. The Earth’s crust provides a natural shielding against most of the stray particles hanging around in our corner of the universe. Beneath that are layers of concrete to further stop any particles getting inside the detector. Note that since the dark matter particles are incredibly weakly interacting, they have no problem shuttling through the Earth’s crust or any of our other protective layers. Another important factor is the choice of the target atom itself. Since we want to avoid spurious signals, an atom that decays radioactively or is otherwise reactive would be a poor choice for the target. Some of the best target atoms are inert gases such as Xenon or Argon.

The Xenon 1T detector located in Italy. The tank (left) is filled with liquid Xenon. For scale, a three-level office complex on the right. (Source)

This is (very briefly) how a conventional direct detection experiment works**. We hide out in the depths of Earth, waiting. The obvious follow-up question is what happens if we don’t see a signal. Does it mean the dark matter paradigm is dead in the water (or liquid Xenon)? The answer is Not Quite. The lack of a signal is valuable information as well. For example, it can be used to infer that the dark matter-target interaction is weaker than we thought (meaning the probability of a collision is even smaller resulting in the absence of a signal). In this way, we can use the “null results” of an experiment to set limits on the strength of the dark matter — standard model interaction. So even though we don’t “detect” dark matter, we end up with more knowledge than we started with. And that, in the end, is the true spirit of science.

Up next: Can we make dark matter at colliders?

*The assumption that dark matter is composed of particles is well-motivated but it might very well be that dark matter is something more exotic such as primordial black holes. 
**Detectors operate on the same principle (some kind of dark matter — particle collision) but can be experimentally realised in different ways.