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Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions

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

Physical Review D, Volume: 106, Issue: 1

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

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DOI (Published version): 10.1103/physrevd.106.014501

Abstract

We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2022
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This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its lattice realisation, and couple the fundamental plaquette action to Wilson- Dirac fermions in mixed representations, by adopting a (rational) hybrid Monte Carlo method, to perform non-trivial tests of the properties of the resulting lattice theory.We find evidence of a surface (with boundaries) of first-order bulk phase transitions in the three- dimensional space of bare parameters (one coupling and two masses). Explicit evaluation of the Dirac eigenvalues confirms the expected patterns of global symmetry breaking. After investigating finite volume effects in the weak-coupling phase of the theory, for the largest available lattice we study the mass spectra of the lightest spin-0 and spin-1 flavoured mesons composed of fermions in each representation, and of the lightest half-integer spin composite particle made of fermions in different representations&#x2014;the chimera baryon. This work sets the stage for future systematical studies of the non-perturbative dynamics in phenomenologically relevant regions of parameter space.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>106</volume><journalNumber>1</journalNumber><paginationStart/><paginationEnd/><publisher>American Physical Society (APS)</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>2470-0010</issnPrint><issnElectronic>2470-0029</issnElectronic><keywords/><publishedDay>5</publishedDay><publishedMonth>7</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-07-05</publishedDate><doi>10.1103/physrevd.106.014501</doi><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>We would like to thank Hwancheol Jeong for useful discussions on the computation of the Dirac spectrum. The work of E. B. has been funded in part by the Supercomputing Wales project, which is partly funded by the European Regional Development Fund (ERDF) via Welsh Government, and by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of D. K. H. was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460) and also 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. is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379). The work of C. J. D. L. is supported by the Taiwanese MoST Grant No. 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. B. L. and M. P. received funding from the European Research Council (ERC) under the European Union&#x2019;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. D. V. acknowledges support from the INFN HPC-HTC project. 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 the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are partly 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). The DiRAC Data Intensive service equipment at Leicester was funded by BEIS capital funding via STFC capital Grants No. ST/K000373/1 and No. ST/R002363/1 and STFC DiRAC Operations Grant No. ST/R001014/1. 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spelling 2022-10-25T14:29:02.6290981 v2 60244 2022-06-15 Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false a6b92e0bbaa941372bd4a6aedc564cf5 0000-0002-5565-9844 Michele Mesiti Michele Mesiti true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2022-06-15 SMA We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its lattice realisation, and couple the fundamental plaquette action to Wilson- Dirac fermions in mixed representations, by adopting a (rational) hybrid Monte Carlo method, to perform non-trivial tests of the properties of the resulting lattice theory.We find evidence of a surface (with boundaries) of first-order bulk phase transitions in the three- dimensional space of bare parameters (one coupling and two masses). Explicit evaluation of the Dirac eigenvalues confirms the expected patterns of global symmetry breaking. After investigating finite volume effects in the weak-coupling phase of the theory, for the largest available lattice we study the mass spectra of the lightest spin-0 and spin-1 flavoured mesons composed of fermions in each representation, and of the lightest half-integer spin composite particle made of fermions in different representations—the chimera baryon. This work sets the stage for future systematical studies of the non-perturbative dynamics in phenomenologically relevant regions of parameter space. Journal Article Physical Review D 106 1 American Physical Society (APS) 2470-0010 2470-0029 5 7 2022 2022-07-05 10.1103/physrevd.106.014501 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University Not Required We would like to thank Hwancheol Jeong for useful discussions on the computation of the Dirac spectrum. The work of E. B. has been funded in part by the Supercomputing Wales project, which is partly funded by the European Regional Development Fund (ERDF) via Welsh Government, and by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of D. K. H. was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460) and also 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. is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379). The work of C. J. D. L. is supported by the Taiwanese MoST Grant No. 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. B. L. and M. P. 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. D. V. acknowledges support from the INFN HPC-HTC project. 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 the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are partly 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). The DiRAC Data Intensive service equipment at Leicester was funded by BEIS capital funding via STFC capital Grants No. ST/K000373/1 and No. ST/R002363/1 and STFC DiRAC Operations Grant No. ST/R001014/1. DiRAC is part of the National e-Infrastructure. 2022-10-25T14:29:02.6290981 2022-06-15T07:22:52.6071952 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ed Bennett 0000-0002-1678-6701 1 Deog Ki Hong 0000-0002-3923-4184 2 Ho Hsiao 3 Jong-Wan Lee 0000-0002-4616-2422 4 C.-J. David Lin 0000-0003-3743-0840 5 Biagio Lucini 0000-0001-8974-8266 6 Michele Mesiti 0000-0002-5565-9844 7 Maurizio Piai 0000-0002-2251-0111 8 Davide Vadacchino 0000-0002-5783-5602 9 60244__24456__7a7ce26076274174be2b4db87ebb84f7.pdf PhysRevD.106.014501.pdf 2022-07-05T15:57:45.0571613 Output 2011949 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/ 99 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@Swansea.ac.uk true 10.5281/zenodo.6637515 false
title Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
spellingShingle Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
Ed Bennett
Biagio Lucini
Michele Mesiti
Maurizio Piai
title_short Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
title_full Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
title_fullStr Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
title_full_unstemmed Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
title_sort Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
7e6fcfe060e07a351090e2a8aba363cf
a6b92e0bbaa941372bd4a6aedc564cf5
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
a6b92e0bbaa941372bd4a6aedc564cf5_***_Michele Mesiti
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Ed Bennett
Biagio Lucini
Michele Mesiti
Maurizio Piai
author2 Ed Bennett
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 Physical Review D
container_volume 106
container_issue 1
publishDate 2022
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.106.014501
publisher American Physical Society (APS)
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
document_store_str 1
active_str 0
description We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its lattice realisation, and couple the fundamental plaquette action to Wilson- Dirac fermions in mixed representations, by adopting a (rational) hybrid Monte Carlo method, to perform non-trivial tests of the properties of the resulting lattice theory.We find evidence of a surface (with boundaries) of first-order bulk phase transitions in the three- dimensional space of bare parameters (one coupling and two masses). Explicit evaluation of the Dirac eigenvalues confirms the expected patterns of global symmetry breaking. After investigating finite volume effects in the weak-coupling phase of the theory, for the largest available lattice we study the mass spectra of the lightest spin-0 and spin-1 flavoured mesons composed of fermions in each representation, and of the lightest half-integer spin composite particle made of fermions in different representations—the chimera baryon. This work sets the stage for future systematical studies of the non-perturbative dynamics in phenomenologically relevant regions of parameter space.
published_date 2022-07-05T04:18:11Z
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score 11.012924

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