New Physics meets the Strong Force

Lead Research Organisation: University of Edinburgh
Department Name: Sch of Physics and Astronomy

Abstract

The Standard Model (SM) is the (admittedly dull) name given to one of most profound theoretical achievements of science. It is an overwhelmingly successful description, not just of fundamental particles, but of the forces that govern their interactions. Despite its success, the SM is incomplete and leaves us with deep open questions. One such puzzle is the nature of dark matter. This mysterious material fills our universe, in greater abundance than the well-understood material forming stars and planets. To date it is only understood through its gravitational signature and its relation to standard material is unknown. A second question follows from the well-established fact that every particle has a corresponding anti-particle and that, upon contact, matter and anti-matter annihilate in an explosion of light. Given this remarkable correspondence, it is unknown how matter came to dominate anti-matter, leading to the formation of galaxies, stars and planets.

This proposal will combine advanced theoretical ideas with high-performance computing to investigate these two fundamental issues. The project distinguishes itself from other on-going research in this area by exploring the connections between dark matter, matter/anti-matter imbalance and a specific part of the Standard Model known as the strong force. The strong force binds fundamental particles called quarks and gluons into protons and neutrons, and the energy of these interactions generates nearly all of the mass of everyday matter. It also binds protons and neutrons together into nuclei, giving rise to all known elements.

But the same properties that make the strong-force so rich also make it an incredible challenge for theoretical physicists. The best known methods involve combining powerful theoretical tools with numerical calculations driven by world-class supercomputers. The first aspect of the proposed project will use these methods to understand how strongly-interacting dark matter particles might interact with each other, and investigate the experimental implications. The second part will shed light on exactly how heavy particles produced in collider experiments decay into the lighter particles that are detected and explore the remarkable fact that such decays violate symmetries relating matter and anti-matter. It is currently unknown if new physics is playing a role but, if it is, this could well be related to the mechanism that led to matter dominance in the early universe.

Planned Impact

Despite its incredible success in describing a wide variety of phenomena, both in earth-based experiments and astro-physical observations, the Standard Model of particle physics is unambiguously incomplete. This proposal will consider two key gaps in the current understanding: (i) the nature of the dark matter that is known to fill the universe but has escaped direct detection and (ii) the dominance of matter over anti-matter and its apparent contradiction with the approximate symmetries of the microscopic world. The proposed research will address the interplay of these issues with the strong force, an essential sector of the Standard Model. As a result of the theoretically challenging nature of the strong force, theoretical calculations are often either impossible or rely on uncontrolled approximations.

To overcome this, I will lead a team in combining advanced theoretical methods with large scale numerical calculations using a framework called lattice QCD. The proposal requires high-performance computing as well as advanced reconstruction techniques and the development required for the scientific investigation is expected to have consequences reaching well outside of academia. In addition, the fundamental nature of the questions elevate them to a level of interest for anyone with an underlying scientific curiosity.

The software and data analysis techniques, in particular to be developed in the component concerning advanced reconstruction techniques, are expected to have a high impact outside the physics community. The reconstruction of spectral information from data correlations is a ubiquitous problem, appearing, for example, in seismology and medical imagining. The tools we develop will be provided in an open source package and a special effort will be made to disseminate the progress outside the scientific community. Further, the ambitious nature of the calculations considered will require pre-exascale computing and the interplay between the scientific and computational development will serve as a powerful driving force on both sides. In this respect the University of Edinburgh already has a strong track record that the successful proposal will push to a new level.

Finally, this proposal will undoubtedly find resonance with the wider public. The nature of dark matter, a mysterious weakly-interacting background density with a clear gravitational signature, is a mystery so profound and simple that a wider audience can appreciate the intrigue. The same is true for the excess of matter over anti-matter, the contradiction between the nearly symmetric microscopic world and the massive imbalance that defines our daily experience. With this in mind an important output of this proposal will be dedicated public outreach, through public lectures, blog posts and online videos, describing the progress of this work to the general public. One cannot overestimate the long-term positive effect, on society and industry, of funding such fundamental research and presenting the progress in an open and accessible way.
 
Description In the first full year of the funding period, good progress has been made towards accomplishing many of the milestones detailed in the grant application.

In particular, concerning Work Package 1.1 'D decays at the SU(3)F point', the relevant code has been developed and computing time has been secured (through the DiRAC integrated supercomputing facility) with Dr. Hansen as the PI on the computing allocation. The allocated time has been used to generate numerical data (lattice gauge fields) in collaboration with the OpenLatt initiative, which aims to share this computationally expensive data across the community. In addition, the computing time has been used to generate separate data for a detailed formal study, required to understand how the representation of the weak force in the numerical calculation can be related with the experimental prediction (a process known as renormalisation). Concerning Work Package 1.2 'Formal mapping to physical final states' significant progress has been made in the published article "Decay amplitudes to three hadrons from finite-volume matrix elements" published in the Journal of High Energy Physics in 2021. A key finding of this article is that three-hadron decay amplitudes can be extracted using the numerical methods outlined in the grant proposal.

While Work Package 2 is underway, with publications to appear towards the end of the year, Work Package 3 has also already seen significant progress resulting in a preprint posted to arXiv.org in 2021, now under the peer review process. This work, entitled "Inclusive rates from smeared spectral densities in the two-dimensional O(3) non-linear s-model", shows that Backus-Gilbert like algorithms for extracting dynamical information can be successfully and systematically applied in realistic numerical calculations. As planned in Work Package 3.1, this was performed in a two-dimensional toy theory, where complete analytic knowledge allows one to carefully judge the quality of the numerical method.

An additional key finding was presented in the article "Energy-Dependent p^{+}p^{+}p^{+} Scattering Amplitude from QCD" published as an Editor's Selection in Physical Review Letters in 2021. This article demonstrates, for the first time, that the full work-flow can be implemented to relate numerical data, generated using the method of lattice QCD, to physically relevant three-to-three scattering amplitudes. This is of relevance to Work Package 1 because methods for scattering hadrons are closely related to those for hadronic decays, and much of the technology is transferrable. The work is similarly relevant for Work Package 2.2 entitled '3-to-2 cannibalising rates', which proposes to look at similar processes in the context of strongly interacting dark matter.
Exploitation Route Especially the results of Work Package 3 already show clear potential to find applications across the field of lattice QCD and potentially in a broader context beyond this. The key findings are that spectral functions, which encode dynamical information in systems ranging from medical imaging to atmospheric science, can be extracted in a controlled way from a numerical estimate of their Laplace transform. The key features of the method are that one has precise knowledge and partial control of the resolution function that is convoluted with the desired spectral function. This means that all sources of uncertainty can be reliably estimated. In addition, the work considers strategies for removing the effects of the resolution function, taking advantage of analytic properties of the system under consideration.
Sectors Digital/Communication/Information Technologies (including Software),Other

 
Description RBC/UKQCD 
Organisation Brookhaven National Laboratory
Country United States 
Sector Public 
PI Contribution My research team and I attend weekly conference calls for the collaboration, partake in applications for computing resources, manage the efficient usage of allocated computing resources, and collaborate in the development and maintenance of software. I am also a contributing author to a major collaboration publication, summarised below.
Collaborator Contribution The collaboration works closely together to develop software, apply for high-performance computing resources, perform intensive numerical calculations, analyse the resulting data and disseminate the results through publications and seminars.
Impact Publication of "Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses", P. Boyle, M. Di Carlo, F. Erben, V. Gülpers, M. T. Hansen et al. (Nov 23, 2022) in JHEP 02 (2023) 242
Start Year 2022
 
Description RBC/UKQCD 
Organisation University of Southampton
Country United Kingdom 
Sector Academic/University 
PI Contribution My research team and I attend weekly conference calls for the collaboration, partake in applications for computing resources, manage the efficient usage of allocated computing resources, and collaborate in the development and maintenance of software. I am also a contributing author to a major collaboration publication, summarised below.
Collaborator Contribution The collaboration works closely together to develop software, apply for high-performance computing resources, perform intensive numerical calculations, analyse the resulting data and disseminate the results through publications and seminars.
Impact Publication of "Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses", P. Boyle, M. Di Carlo, F. Erben, V. Gülpers, M. T. Hansen et al. (Nov 23, 2022) in JHEP 02 (2023) 242
Start Year 2022