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Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics

Ed Bennett Orcid Logo, Jack Holligan Orcid Logo, Deog Ki Hong Orcid Logo, Ho Hsiao Orcid Logo, Jong-Wan Lee Orcid Logo, C.-J. David Lin, Biagio Lucini Orcid Logo, Michele Mesiti, Maurizio Piai Orcid Logo, Davide Vadacchino Orcid Logo

Universe, Volume: 9, Issue: 5, Start page: 236

Swansea University Authors: Ed Bennett Orcid Logo, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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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...

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Published in: Universe
ISSN: 2218-1997
Published: MDPI AG 2023
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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.</abstract><type>Journal Article</type><journal>Universe</journal><volume>9</volume><journalNumber>5</journalNumber><paginationStart>236</paginationStart><paginationEnd/><publisher>MDPI AG</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic>2218-1997</issnElectronic><keywords>lattice gauge theory; Sp(2N) gauge group; composite Higgs; composite dark matter; top partial compositeness; physics beyond the standard model</keywords><publishedDay>17</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-05-17</publishedDate><doi>10.3390/universe9050236</doi><url>http://dx.doi.org/10.3390/universe9050236</url><notes/><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm>Not Required</apcterm><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. 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spelling v2 63452 2023-05-14 Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2023-05-14 SMA 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. Journal Article Universe 9 5 236 MDPI AG 2218-1997 lattice gauge theory; Sp(2N) gauge group; composite Higgs; composite dark matter; top partial compositeness; physics beyond the standard model 17 5 2023 2023-05-17 10.3390/universe9050236 http://dx.doi.org/10.3390/universe9050236 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University Not Required 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. 2023-06-07T11:30:07.2986301 2023-05-14T19:33:15.5435119 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ed Bennett 0000-0002-1678-6701 1 Jack Holligan 0000-0001-6043-0262 2 Deog Ki Hong 0000-0002-3923-4184 3 Ho Hsiao 0000-0002-8522-5190 4 Jong-Wan Lee 0000-0002-4616-2422 5 C.-J. David Lin 6 Biagio Lucini 0000-0001-8974-8266 7 Michele Mesiti 8 Maurizio Piai 0000-0002-2251-0111 9 Davide Vadacchino 0000-0002-5783-5602 10 63452__27465__f311c442b50b4acfb59f862b6c6c0998.pdf 2304.01070.pdf 2023-05-14T19:42:28.2239167 Output 2897690 application/pdf Accepted Manuscript true 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/). true eng https://creativecommons.org/licenses/by/4.0/ 63452__27737__9979a4fb535648038901eaf72bf3c914.pdf 63452.pdf 2023-06-07T11:29:11.0520262 Output 2824248 application/pdf Version of Record true 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/). true eng https://creativecommons.org/licenses/by/4.0/
title Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
spellingShingle Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
Ed Bennett
Biagio Lucini
Maurizio Piai
title_short Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
title_full Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
title_fullStr Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
title_full_unstemmed Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
title_sort Sp(2N) Lattice Gauge Theories and Extensions of the Standard Model of Particle Physics
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Ed Bennett
Biagio Lucini
Maurizio Piai
author2 Ed Bennett
Jack Holligan
Deog Ki Hong
Ho Hsiao
Jong-Wan Lee
C.-J. David Lin
Biagio Lucini
Michele Mesiti
Maurizio Piai
Davide Vadacchino
format Journal article
container_title Universe
container_volume 9
container_issue 5
container_start_page 236
publishDate 2023
institution Swansea University
issn 2218-1997
doi_str_mv 10.3390/universe9050236
publisher MDPI AG
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://dx.doi.org/10.3390/universe9050236
document_store_str 1
active_str 0
description 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.
published_date 2023-05-17T11:30:06Z
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score 11.013082

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