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DARK MAtter for Precision experiments (DARKMAP)

Lead Research Organisation: Durham University
Department Name: Physics

Abstract

Our best understanding of the inner working of the Universe demands that Dark Matter contributes about 80% of the total mass of the Universe, shaping its form at all astronomical scales.
However, the composition of Dark Matter in terms of fundamental particles remains a puzzle
and all attempts to solve it through measurements or direct observation have failed to date.
Established experiments have focussed on searches for Dark Matter that scatters off heavy atoms in deep underground labs, assuming it behaves like slowly moving particles. This type of Dark Matter is called Weakly Interacting Massive Particle (WIMP) and its mass is a multiple of the proton mass.
For Dark Matter masses below the mass of a Carbon atom the momentum of the slowly moving WIMPs drops below the recoil threshold of the heavy nuclei used in these experiments and it cannot be detected anymore.
If Dark Matter is much lighter, its properties are fundamentally different, and it would be better described as a homogeneous fluid-like substance instead of a cloud of massive particle. Experiments searching for elastic scattering are entirely insensitive in this case. This very light Dark Matter behaves more like a new force acting very weakly on electrons and nuclei or affecting their spin. In this case the expected effects are tiny and can only be observed in extremely precise measurements of fundamental constants and interactions.

This project is a truly multidisciplinary effort to enable the search for dark matter with high-precision atomic physics experiments. Many of these experiments have made enormous progress during the last decades, increasing their sensitivity by many orders of magnitude. These high-precision experiments can potentially measure the very minute effects exerted by interactions of light and very light dark matter. The theoretical mechanism underlying the production of this type of dark matter in the universe helps, because it predicts resonantly enhanced time-dependent signals, if the experiment can be designed to pick it up. Depending on the specific interaction, one dedicated or a variety of experiments might be the right strategy.
In order to answer this question a consistent theoretical framework will be developed taking into account the complex structure of quantum field theories necessary to describe dark matter at high energies. Even though high-precision experiments are performed at rather low energies compared to collider experiments or even some astrophysical processes these calculations are necessary to correctly derive observables and correlations between observables for these experiments. This framework further makes the different experimental approaches comparable and existing limits can be used to optimise future experiments. With this in hand we can collaborate with atomic physicists throughout the UK to design an experimental programme exploiting the untapped potential of high-precision experiments to search for and potentially discover dark matter.

Planned Impact

The direct impact from this research proposal ranges from the discovery of dark matter to advancing the establishment of a new research direction at the interface of fundamental physics and high-precision experiments. Atomic clocks, interferometer, spectroscopy experiments and other atomic experiments have improved significantly over the last decades to the point at which they can compete and outperform other experimental techniques used to search for fundamental particles. The application of this technology for fundamental physics is a new, highly promising research direction. This project lays the theoretical foundation to enable these experiments to search for dark matter. Students benefiting from the training in this project will shape and lead the broader field in the 21st century.

A core objective of this proposal is the collaboration with experimentalists designing and building high-precision experiments. The inherent challenges coming with optimising these experiments for searches for dark matter opens up opportunities for quantum hubs and UK businesses to produce technology and components required for these modifications. These beneficiaries will pioneer this technology and advance to world leaders in this segment. Quantum technology has the potential to eventually underlie a whole new technological infrastructure, much as the semiconductor revolution changed everything in last half of the 20th century.

Further beneficiaries will use this infrastructure built to perform the measurements proposed in the context of this programme. Fiber quantum networks built to synchronise atomic clocks at different UK institutions can be used for industries relying on ultra-precise time measurements. This includes financial industries, the internet, satellite broadcast and military applications. Medium to longterm this programme can pave the way to industrial scale gravimeters with future applications in devices similar to modern day GPS sensors.

The wider public will benefit from the engagement of our group in the outreach programme communicating the enthusiasm for this new research field. This includes the participation in science festivals, public lectures and school visits to advance the public understanding of science as a vital function of active research.

Publications

10 25 50
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Agrawal P (2021) Feebly-interacting particles: FIPs 2020 workshop report in The European Physical Journal C

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Bauer M (2022) Flavor probes of axion-like particles in Journal of High Energy Physics

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Bauer M (2021) Consistent Treatment of Axions in the Weak Chiral Lagrangian in Physical Review Letters

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Bauer M (2023) Limits on the cosmic neutrino background in Journal of Cosmology and Astroparticle Physics

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Bauer M (2023) Axion-Higgs portal in Physical Review D

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Bauer M (2024) Generalised hydrogen interactions with CINCO: a window to new physics in Journal of High Energy Physics

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Bauer M (2021) Flavor structure of anomaly-free hidden photon models in Physical Review D

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Bauer M (2024) Fifth Forces from QCD Axions Scale Differently in Physical Review Letters

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Bauer M (2021) The low-energy effective theory of axions and ALPs in Journal of High Energy Physics

 
Description Detecting light dark matter with Quantum Sensors

Many experimental strategies aimed at discovering dark matter primarily target candidates with substantial masses, typically ranging from 10 to 1000 times that of a proton. However, challenges arise when considering dark matter that is considerably lighter. In direct detection experiments, if the mass of dark matter particles is below the GeV scale, the momentum they transfer is often insufficient to surpass the recoil threshold necessary for detection. Similarly, any potential annihilation signals from light dark matter with masses below the kilo-electronvolt (keV) scale would produce soft X-rays or an even softer spectrum This poses significant difficulties in distinguishing genuine dark matter signals in indirect detection from the pervasive background in the X-ray and optical spectrum.

Very light dark matter has several attractive properties. Simulations have shown that dark matter with masses well below an eV can produce a broader core in dark matter haloes than heavy dark matter candidates, which agrees with observations. Very light dark matter also predicts fewer small scale structures than heavy dark matter. It could explain why we observe fewer dwarf galaxies than expected. These discrepancies might stem from limitations in the simulations, or intriguingly, they could also suggest that dark matter is composed of much lighter particles than previously thought.

Since established experimental search strategies are limited when it comes to very small dark matter masses, the emergence of extremely precise quantum sensors has revolutionised this field. Atomic clocks, Laser and atom interferometers as well as resonant cavity experiments have significantly improved their sensitivity in the last decade and can now probe a parameter space that was previously been far out of reach. Future breakthroughs such as a nuclear clock taking advantage of the ultra-narrow transition in Thorium-229 and a large scale atom interferometer will allow for unprecedented tests of effects from very light dark matter.

One of the leading candidates for very light particles are axion-like particles that appear in more fundamental theories than the Standard Model when global symmetries are spontaneously broken. Guillaume Rostagni, Sreemanti Chakraborti and Martin Bauer calculated the interaction strengths of axion-like particles at low energy scales where these experiments are performed. In a comprehensive paper, the linear and quadratic couplings of axion-like particles to nucleons, electrons and photons are calculated and used as an input to derive the sensitivity of current and future quantum sensors experiments [1]. The results can be used to compare the reach of different experiments and decide on the best approach to search for axion-like particles with any combination of couplings to Standard Model particles. The distinctions between axion-like particles as dark matter candidates and scenarios where they do not contribute to dark matter are thoroughly explored. This work built on a comprehensive calculation of low energy effective field theories describing the interactions of axionlike particles at the QCD scale and below, performed during the first part of this future leaders fellowship [4] .

In addition, this research introduces innovative strategies for detecting axion-like dark matter, specifically by investigating the presence of fifth forces that emerge from the exchange of axion pairs [2]. Additionally, quadratic interactions facilitate the absorption of axion pairs in haloscopes and helioscopes, potentially greatly enhancing the sensitivity of these experiments. A key finding of this work is the nuanced behaviour of the axion field value, which can lead to localised regions where interactions with axion-like particles become non-perturbative, indicating a significant deviation from the vacuum field value [3].

The cosmic neutrino background is a firm prediction of the Big Bang theory. Similar to the way the cosmic microwave background formed when the early Universe became transparent for light 400000 years after the big bang, the cosmic neutrino background formed when neutrinos could travel unimpeded through the cosmos just 1 second after the big bang. We discovered the cosmic microwave background 60 years ago and measured it to high precision since -most of our knowledge about the early Universe derives from it. In contrast, nobody has ever observed a cosmic neutrino, but a discovery of the cosmic neutrino background would provide a unique window into the very early Universe. In this talk I will give an overview of what we know about cosmic neutrinos and what prospects exist to detect cosmic neutrinos in the future. In the context of this grant, we have proposed novel methods to discover the cosmic neutrino background and published the first comparative study with projections for all known methods as a function of the neutrino density and temperature [5]. We also developed software to calculate general transitions in hydrogen that can be used to detect dark matter absorption [6].


[1] https://arxiv.org/abs/2408.06412
[2] https://arxiv.org/abs/2307.09516 (Phys.Rev.Lett. 132 (2024) 10, 101802)
[3] https://arxiv.org/abs/2408.06408
[4] https://arxiv.org/abs/2201.07805 [hep-ph] (Rept.Prog.Phys. 86 (2023) 1, 016201), https://arxiv.org/abs/2110.10698 [hep-ph] (JHEP 09 (2022) 056), https://arxiv.org/abs/2102.13112 [hep-ph] (Phys.Rev.Lett. 127 (2021) 8, 081803)
[5] https://arxiv.org/abs/2207.12413 [hep-ph] (JCAP 01 (2023), 003), https://arxiv.org/abs/2104.12784 [hep-ph] (Phys.Rev.D 104 (2021) 8, 083039)
[6] https://arxiv.org/abs/2407.12913 [hep-ph] (JHEP 10 (2024) 176, JHEP 10 (2024) 176 )
Exploitation Route We developed code that can directly applied in searches for light dark matter with spectroscopy (CISCO). Our research provides the basis for numerous experimental developments utilising strategies we propose to detect light dark matter or cosmic neutrinos. The effective field theories we derived are important for calculations of experimental observables for experiments ranging from high energy particle physics, flavor physics and quantum sensors.
Sectors Education

Electronics

Energy

 
Description My research has influenced the quantum technology for fundamental physics programme of UKRI, which funds quantum sensor technology that can be used to e.g. observe light dark matter. I've also been appointed deputy chair of STFCs principal advisory committee, science board, with direct input to STFCs strategy. My expertise lead to a request to submit evidence for the Commons Science, Innovation and Technology Committee on the topic: The UK and Cern (https://committees.parliament.uk/work/8273/the-uk-and-cern/publications/)
First Year Of Impact 2023
Impact Types Policy & public services

 
Title micrOMEGAs 6 
Description micrOMEGAs is a numerical code to compute dark matter (DM) observables in generic extensions of the Standard Model of particle physics. This new version, micrOMEGAs 6.0, includes a generalization of the Boltzmann equations governing the DM cosmic abundance evolution which can be solved to compute the relic density of N-component DM. The direct and indirect detection rates in such scenarios take into account the relative contribution of each component such that constraints on the combined signal of all DM components can be imposed. The co-scattering mechanism for DM production is also included, whereas the routines used to compute the relic density of feebly interacting particles have been improved in order to take into account the effect of thermal masses of t-channel particles. Finally, the tables for the DM self-annihilation-induced photon spectra have been extended down to DM masses of 110 MeV, and they now include annihilation channels into light mesons.   The compressed file micromegas_6.0.tgz is about 22 MB, the unpacked program is about 100 MB. Download and unpack the tarball, then go to the micromegas_6.0 folder, e.g.:   tar -zxvf micromegas_6.0.tgzcd micromegas_6.0   Detailed installation instructions are given in the README file in the top-level directory.  An extensive manual is provided in the man directory.     For more information, see the micrOMEGAs webpage. 
Type Of Technology Software 
Year Produced 2024 
Open Source License? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.13376690
 
Title micrOMEGAs 6.0 
Description micrOMEGAs is a numerical code to compute dark matter (DM) observables in generic extensions of the Standard Model of particle physics. This new version, micrOMEGAs 6.0, includes a generalization of the Boltzmann equations governing the DM cosmic abundance evolution which can be solved to compute the relic density of N-component DM. The direct and indirect detection rates in such scenarios take into account the relative contribution of each component such that constraints on the combined signal of all DM components can be imposed. The co-scattering mechanism for DM production is also included, whereas the routines used to compute the relic density of feebly interacting particles have been improved in order to take into account the effect of thermal masses of t-channel particles. Finally, the tables for the DM self-annihilation-induced photon spectra have been extended down to DM masses of 110 MeV, and they now include annihilation channels into light mesons.   The compressed file micromegas_6.0.tgz is about 30 MB, the unpacked program is about 120 MB. Download and unpack the tarball, then go to the micromegas_6.0 folder, e.g.:   tar -zxvf micromegas_6.0.tgzcd micromegas_6.0   Detailed installation instructions are given in the README file in the top-level directory.  An extensive manual is provided in the man directory.     For more information, see the micrOMEGAs webpage. 
Type Of Technology Software 
Year Produced 2024 
Open Source License? Yes  
URL https://zenodo.org/doi/10.5281/zenodo.10462241
 
Description Cover article in New scientist 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Invited to write the cover article for the new scientist
Year(s) Of Engagement Activity 2023,2024
URL https://www.newscientist.com/article/mg25834360-100-what-was-the-universes-first-second-like-these-p...
 
Description Evidence for the Commons Science, Innovation and Technology Committee 
Form Of Engagement Activity A formal working group, expert panel or dialogue
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Policymakers/politicians
Results and Impact Invited evidence for the committee on the topic of 'The UK and Cern'
Year(s) Of Engagement Activity 2024
URL https://committees.parliament.uk/work/8273/the-uk-and-cern/publications/
 
Description Social media outreach 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Other audiences
Results and Impact Large following (>80000 followers) interested in regular physics posts
Year(s) Of Engagement Activity 2021
URL https://x.com/martinmbauer