Dark matter at the Large Hadron Collider - a window on my work

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(Edited)

Several months I didn’t write anything about particle and astroparticle physics! Time flies… Whilst I spent most of my Hive time on STEMsocial matters, my personal blog was left behind. Let’s therefore go for a change… at least today!

In this post, I discuss one of my recent research publication on dark matter at the Large Hadron Collider (the LHC) at CERN.


[image credits: Jschulman555 (CC BY 3.0)]

With two colleagues, we proposed a framework allowing to test a large class of dark matter models at once. From future results of the ATLAS and CMS collaborations, we could hence get insights on what dark matter could be or could not be.

But why dark matter as a start?


Dark matter in a nutshell


Dark matter is one of the most searched substance today, and for very good reasons: it is favoured by many cosmological observations. I won’t enter deep into details, as I wrote already quite a bit on the subject (see here for instance), but in a few words, we have a lot of indirect evidence for dark matter.

For instance, the study of the motion of the stars in the galaxies (or the motion of the galaxies themselves) reveals the presence of something invisible (i.e. dark matter). The structure of the galaxies as we see them requires dark matter. And as a last example, let’s mention the analysis of the fossil radiation left over from the Big Bang that implies the existence of dark matter.

[image credits: Maxwell Hamilton (CC BY 2.0)]

We however have no idea about the true nature of dark matter. This consists in one of the most important questions of high-energy physics at the present time.

Therefore, there is a lot of dark matter models on the market, and we have various experimental tools to track dark matter on Earth.

One of these tools is the LHC at CERN.

At the LHC, two highly-energetic proton beams are accelerated close to the speed of light and collide. The production of invisible dark matter particles is one of the possible results of such collisions, at least according to many motivated dark matter scenarios.


Detecting the invisible at the LHC


Once produced in an LHC collision, dark matter is invisible (it is not called dark matter for a random reason), so that no detector can obviously see it.

There is however a way out. Dark matter can be produced together with some visible stuff, and the latter can be observed in a detector. This consists in our handle on dark matter: the properties of the invisible are built from what is visible.

[image credits: CERN]

Why is so? It is quite simple. Energy is conserved, as is momentum. This is a golden rule of physics whose consequences for an LHC collision are illustrated in the figure on the right.

We have produced here three visible objects (the green and the two red tracks). Momentum conservation implies that there must be something invisible that recoils against the three visible tracks (so that the sum of all momenta vanishes). This could be dark matter.

In other words, any apparently missing energy or momentum in the detector could be associated with dark matter.


Dark matter simulations at the LHC


It is now time to go back to the research article I want to discuss today. There are many dark matter models that have been proposed over time, and many of them feature similar properties when it comes to LHC phenomenology.

They in particular often include two new particles: a light dark matter particle and a heavy mediator that connects dark matter with the Standard Model of particle physics. In this setup, the mediator always decays into dark matter, so that it contributes to the production of invisible stuff at the LHC as well.

From those considerations, we implemented these two particles in standard LHC simulations tools. Physicists can play with the particle basic properties (masses, spins, couplings) and make predictions for the dark matter and mediator signals.

An example of the simulation results is illustrated in the figure below in which we show the missing energy spectrum (red) expected from a scenario featuring a light dark matter particle X and a moderately heavy mediator Y.


[image credits: arXiv]

This missing energy distribution is crucial as it is the direct manifestation of the invisible dark matter. The relevant part of the spectrum is when the missing energy is large, i.e. on the right part of the figure, as this coincides with a low-background situation. Conclusive statements can then be drawn by comparing predictions with data.

The novelty of our work is that we precisely calculated the full dark matter signal. We considered not only the dark matter contribution itself (XX, purple), but also the mediator ones (YY, teal and blue) and the joint dark matter - mediator one (XY, light green).

Those results interestingly show that the bulk of the signal comes from the associated XY production mechanism, and not from dark matter XX production.


Summary


In this post, I discussed one of my recent publications on dark matter at the Large Hadron Collider.

With collaborators, we designed a framework allowing us to make predictions for several dark matter models. The core idea consists in implementing, in LHC simulation tools, solely what is relevant for a dark matter LHC signal. This is often common across models so that many models can be considered at once.

We have moreover demonstrated the importance of considering the dark matter signal as a whole (with respect to naive expectations of what it should be) for a better assessment of the LHC sensitivity to dark matter.

Hopefully, our work will allow us to get better insights on dark matter, at least once our predictions will be confronted to data (this is actually coming).

PS: This article has been formatted for the STEMsocial front-end. Please see here for a better reading.



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I will say well done to you @lemouth for your work on dark matters. Although from my own little study, i knew that several work has been carried out to authenticate existence of dark matters by studying the effect on visible objects, however am not sure if any data has been gathered on various studies and models use so far. Am not sure if the use of Satellite has successfully gather data in respect of dark matter.

However, i hope that your work using LHC will come up with sufficient data . Nice work Prof.

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Thanks for passing by! Let me try to answer your comment part by part. Although I am not sure to fully get it, feel free to come back to me on anything needed.

I knew that several work has been carried out to authenticate existence of dark matters by studying the effect on visible objects

This consists in one of the three examples of proof for the existence of dark matter that I mentioned in the second part of the post. It is actually the oldest of all proofs.

In the 30ies, it was shown by F. Zwicky that the motion of the galaxies could not be explained by Newtonian gravity in combination with only the visible matter. This was confirmed later on many times. This led to two options. With the former, we concluded that there must be some invisible mass somewhere. That is the dark matter hypothesis. With the latter option, we concluded that gravity has to be modified at large scale. This option is less favored, but not ruled out.

Am not sure if the use of Satellite has successfully gather data in respect of dark matter.

The results of various satellite missions can be used to constrain dark matter, for instance through the study of the cosmic microwave background (the fossil radiation left over from the big bang, as also mentioned in the second section of my post) or cosmic rays (dark matter may influence the amount of cosmic rays we see on Earth.

I hope this clarifies. If not, as I said, please come back to me!

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(Edited)

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Hello @lemouth:
Finally I give the piece the attention it deserves (and needs in order for me to understand it). Below I've pulled out the sentences that create a thread of understanding for me.

The production of invisible dark matter particles is one of the possible results of such collisions
You follow this very clear concept with a delightful statement (it is not called dark matter for a random reason). Humor is a hook--every teacher knows that :)

And then there's this statement, which is almost poetically metaphysical: the properties of the invisible are built from what is visible

This statement I believe (if I understand correctly) is the heart of your experiment:
...any apparently missing energy or momentum in the detector could be associated with dark matter.

You go on to support your methodology and conclusions by referring to laws of physics. I recognized them because of something you had written previously, about the symmetries of nature:
Why is so? It is quite simple. Energy is conserved, as is momentum. This is a golden rule of physics

I had never heard of these symmetries before you described them some time ago.

And then finally, the result of your experiment (I think) which I vaguely understand.
the mediator always decays into dark matter, so that it contributes to the production of invisible stuff at the LHC as well.

The visible proves the existence of the invisible (yes ?):
This missing energy distribution is crucial as it is the direct manifestation of the invisible dark matter

And the wonderful conclusion, that you have observed something 'novel'. You have contributed to the global search for dark matter. Quite impressive.
The novelty of our work is that we precisely calculated the full dark matter signal.

Congratulations @lemouth to you and your fellow researchers.

Thank you so much for translating your paper into regular speak. I hope I got the jist of it. Certainly this post has been enlightening.

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Thanks a lot for your very long comment! It is definitely appreciated. I will try to come back to a few points below, but please do not hesitate to iterate.

And then there's this statement, which is almost poetically metaphysical: the properties of the invisible are built from what is visible

Although this may sound very matephysical, this is the truth. Thanks to energy and momentum conservation (that indeed stem from symmetries, as you correctly pointed it out), we can reconstruct what is invisible in the detector. In practice, we sum everything we see, and then verify whether the result of the sum is compatible with what we had in the initial state. Some of the initial state properties must be equal to the final state ones by virtue of those conservation laws. If it is not, the case, then we just add an invisible component that restore the compatibility.

So so far, so good. Isn't it?

the mediator always decays into dark matter, so that it contributes to the production of invisible stuff at the LHC as well.

This is a feature of the model. We have two new particles, a heavy mediator and a light dark matter. The dark matter has to be stable, because otherwise we won't have anymore any dark matter in the universe today. This enforces some of the mediator properties: one of them is that the mediator is unstable and that it will always decay into dark matter (together with some other visible Standard Model stuff). Note that this decay is possible because the mediator is heavier (the heavy always decays into the light). Of course, this is a very rough summary. I hope it is sufficient.

From there, let’s assume we produce a pair of mediators at the LHC. Then these two mediators will decay almost instantaneously into one dark matter particle each (together with some other visible stuff). As a consequence, they will materialise each in a detector as two components: a first visible part and a second invisible part.

The issue is that while we are able to detect the two visible particles, it is impossible to detect two invisible particles. We only see that “something is missing” which corresponds to the sum of the two invisible contributions.

This missing energy distribution is crucial as it is the direct manifestation of the invisible dark matter

This missing energy distribution is this something invisible (that then needs to be compared with data to either find the model, or exclude it.

I hope I have confirmed/clarifierd your thoughts! Please let me know.

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Thank you, @lemouth for that very readable and thorough answer. I will save my 'deep thinking' for tonight, on my iPad, when the house is quiet and I've no distractions. Then I can consider your points carefully. Very much appreciate this unique insight into your remarkable work. If I have questions, they will be appended to this comment tomorrow :)

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Hehe, I know this is not something easy to digest in 5 minutes. The good thing is that we have somehow an infinite amount of time here ^^

Feel free to come back to me whenever you feel so and have a good night!

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🌞
Thank you! If I thought someone like you would have been my teacher, all those years ago in high school, I might have taken physics (instead of typing !!).

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Hehe. I barely see me as a high school teacher, topic wise. The part of physics I really appreciate is not on the high school programme :/

By the way, one often says that the way courses are taught is what matters to get students interested. This holds at all levels! I remember good and bad teachers on this context (and this actually drives my choice of career :) ).

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It is wonderful seeing you here my friend from across the sea. Thoughtful, curious and supportive as always! I think of you every time I read the headlines and articles about New York. A fter reading a comment of yours not long ago I learnt that, despite everything, you and your husband are both fine :)

Lots of love to you from sunny Portugal.

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Dear Abigail,
So nice to wake up to your message this morning 🌷! Yes, I have wondered how you are faring also in these difficult times. I know Portugal has not experienced the same intensity of infection as have other places (especially New York), but still...
What times we live in.
Lots of love from New York, where love and mutual support are so far keeping my family safe.

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I am also closely following what is going on in the US. This is really terrible and I hope the situation will get better soon :(

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the visible proves the existence of the invisible (yes ?):

Ah! How relevant and timely is this question? It applies to the very reality we're all undergoing today: The visible effects the invisible virus gives rise to, from the biological through the social and psychological.

:/

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I didn't make the connection with the COVID when writing it out. Really! But yeah, the invisible is affecting us a lot those days... and I am thus time not talking about dark matter!

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oh .. this topic excites me. I had read an article about it in the past few months. I try to follow the developments. the source is available in cern experiments. Thank you for the nice information you shared. especially if you love a space like me. :)
I'm sorry for my bad english.

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No problem for the English. Do you mind sharing the CERN article you have read about recently? If you have any question about it, I would be very happy to answer them!

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the article is not the right word. I typed wrong. I mean news about dark matter. :) I could not find it. but what you already know better than me :) keep sharing with us. I will read with interest..

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I will definitely continue! I still have chosen what I will discuss on my next post. It may be dark matter or other particle physics stuff. I will decide next week :)

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(Edited)

After reading your posts and some of the comments I, for a change, am left with no questions. But, I still wanted to stop by to thank you for keeping both your work and the community going. It is truly inspiring. To say the least! :)

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Glad to read I was clear enough! Since I didn't post for some time, I tried to be as comprehensive as possible and avoid referring too much to older posts.

Thanks for your nice words by the way!

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