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Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
,
Jack Holligan ,
Deog Ki Hong ,
Ho Hsiao ,
Jong-Wan Lee ,
C.-J. David Lin,
Biagio Lucini ,
Michele Mesiti,
Maurizio Piai ,
Davide Vadacchino
Universe, Volume: 9, Issue: 5, Start page: 236
Swansea University Authors:
Ed Bennett , Biagio Lucini , Maurizio Piai
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2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
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2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Download (2.69MB)
DOI (Published version): 10.3390/universe9050236
Abstract
We review the current status of the long-term programme of numerical investigation of Sp(2N) gauge theories with and without fermionic matter content. We start by introducing the phenomenological as well as theoretical motivations for this research programme, which are related to composite Higgs mod...
| Published in: | Universe |
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| ISSN: | 2218-1997 |
| Published: |
MDPI AG
2023
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa63452 |
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| Abstract: |
We review the current status of the long-term programme of numerical investigation of Sp(2N) gauge theories with and without fermionic matter content. We start by introducing the phenomenological as well as theoretical motivations for this research programme, which are related to composite Higgs models, models of partial top compositeness, dark matter models, and in general to the physics of strongly coupled theories and their approach to the large-N limit. We summarise the results of lattice studies conducted so far in the Sp(2N) Yang-Mills theories, measuring the string tension, the mass spectrum of glueballs and the topological susceptibility, and discuss their large-N extrapolation. We then focus our discussion on Sp(4), and summarise numerical measurements of mass and decay constant of mesons in the theories with fermion matter in either the fundamental or the antisymmetric representation, first in the quenched approximation, and then with dynamical fermions. We finally discuss the case of dynamical fermions in mixed representations, and exotic composite fermion states such as the chimera baryons. We conclude by sketching the future stages of the programme. And we describe our approach to open access. |
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| Keywords: |
lattice gauge theory; Sp(2N) gauge group; composite Higgs; composite dark matter; top partial compositeness; physics beyond the standard model |
| College: |
Faculty of Science and Engineering |
| Funders: |
The work of E.B. has been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1, and by the ExaTEPP project EP/X017168/1. The work of J.H. at the University of Maryland is partially supported by the Center for Frontier Nuclear Science at Stony Brook University. The work of J.H. at Michigan State University is supported by NSF grant PHY 2209424 as well as the Research Corporation for Science Advancement through the Cottrell Scholar Award. The work of D.K.H. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of J.W.L. was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1C1B3001379) and by IBS under the project code, IBS-R018-D1. The work of D.K.H. and J.W.L. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of H.H. and C.-J.D.L. is supported by the Taiwanese MoST grant 109-2112-M-009-006-MY3. The work of B.L. and M.P. has been supported in part by the STFC Consolidated Grants No. ST/P00055X/1 and No. ST/T000813/1. BL and MP received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of B.L. is further supported in part by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. The work of D.V. is supported in part by the Simons Foundation under the program “Targeted Grants to Institutes” awarded to the Hamilton Mathematics Institute. Numerical simulations have been performed on the Swansea University SUNBIRD cluster (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system, on the local HPC clusters in Pusan National University (PNU) and in National Yang Ming Chiao Tung University (NYCU), and on the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. The DiRAC Data Intensive service at Leicester is operated by the University of Leicester IT Services, which forms part of the STFC DiRAC HPC Facility (www.dirac.ac.uk available 13 April 2023). The DiRAC Data Intensive service equipment at Leicester was funded by BEIS capital funding via STFC capital grants ST/K000373/1 and ST/R002363/1 and STFC DiRAC Operations grant ST/R001014/1. DiRAC is part of the National e-Infrastructure. |
| Issue: |
5 |
| Start Page: |
236 |