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Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions

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

Journal of High Energy Physics, Volume: 2019, Issue: 12, Start page: 53

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

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Abstract

We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa52872
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The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudo-Nambu-Goldstone bosons describe the SU(4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. 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Numerical simulations have been performed on the Swansea SUNBIRD system, on the local HPC clusters in Pusan National University (PNU) and in National Chiao-Tung University (NCTU), and on the Cambridge Service for Data Driven Discovery (CSD3). The Swansea SUNBIRD system is part of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. CSD3 is operated in part by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility (https://dirac.ac.uk/). The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure. 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spelling 2025-04-16T14:42:47.4252364 v2 52872 2019-11-25 Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions 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 2019-11-25 MACS We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudo-Nambu-Goldstone bosons describe the SU(4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. The results of our spectroscopic analysis provide new input data for future phenomenological studies in the contexts of composite Higgs models, and of dark matter models with a strongly coupled dynamical origin. Journal Article Journal of High Energy Physics 2019 12 53 Springer Science and Business Media LLC 1029-8479 Lattice Quantum Field Theory; Technicolor and Composite Models; Beyond Standard Model 5 12 2019 2019-12-05 10.1007/jhep12(2019)053 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Other The work of EB has been funded in part by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. The work of DKH was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1D1A1B06033701). The work of JWL is supported in part by the National Research Foundation of Korea grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379) and in part by Korea Research Fellowship programme funded by the Ministry of Science, ICT and Future Planning through the National Research Foundation of Korea (2016H1D3A1909283). The work of CJDL is supported by the Taiwanese MoST grant 105-2628-M-009-003-MY4. The work of BL and MP has been supported in part by the STFC Consolidated Grants ST/L000369/1 and ST/P00055X/1. The work of BL is further supported in part by the Royal Society Wolfson Research Merit Award WM170010. DV acknowledges support from the INFN HPC-HTC project. Numerical simulations have been performed on the Swansea SUNBIRD system, on the local HPC clusters in Pusan National University (PNU) and in National Chiao-Tung University (NCTU), and on the Cambridge Service for Data Driven Discovery (CSD3). The Swansea SUNBIRD system is part of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. CSD3 is operated in part by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility (https://dirac.ac.uk/). The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure. Article funded by SCOAP3. 2025-04-16T14:42:47.4252364 2019-11-25T19:47:16.6930402 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ed Bennett 0000-0002-1678-6701 1 Deog Ki Hong 2 Jong-Wan Lee 3 C.-J. David Lin 4 Biagio Lucini 0000-0001-8974-8266 5 Maurizio Piai 0000-0002-2251-0111 6 Davide Vadacchino 7 52872__16148__5b2084042c39436d968be5e14911aa71.pdf Bennett2019_Article_Sp4GaugeTheoriesOnTheLatticeNf.pdf 2019-12-18T23:36:44.4196538 Output 1614917 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/ 6 true true
title Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
spellingShingle Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
Ed Bennett
Biagio Lucini
Maurizio Piai
title_short Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
title_full Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
title_fullStr Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
title_full_unstemmed Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
title_sort Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions
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
Deog Ki Hong
Jong-Wan Lee
C.-J. David Lin
Biagio Lucini
Maurizio Piai
Davide Vadacchino
format Journal article
container_title Journal of High Energy Physics
container_volume 2019
container_issue 12
container_start_page 53
publishDate 2019
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep12(2019)053
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
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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 perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudo-Nambu-Goldstone bosons describe the SU(4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. The results of our spectroscopic analysis provide new input data for future phenomenological studies in the contexts of composite Higgs models, and of dark matter models with a strongly coupled dynamical origin.
published_date 2019-12-05T04:44:45Z
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