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Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations

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

Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024), Volume: 466, Start page: 138

Swansea University Authors: Fabian Zierler, Ed Bennett Orcid Logo, Niccolo Forzano, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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DOI (Published version): 10.22323/1.466.0138

Abstract

We measure the masses of the pseudoscalar flavour-singlet meson states in the Sp(4) gauge theory coupled to two Dirac fermions transforming in the fundamental representation and three Dirac fermions in the antisymmetric representation. This theory provides a compelling ultraviolet completion for the...

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Published in: Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024)
ISSN: 1824-8039
Published: Trieste, Italy Sissa Medialab 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa68044
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This theory provides a compelling ultraviolet completion for the minimal composite Higgs model implementing also partial compositeness for the top quark. The spectrum contains two, comparatively light, pseudoscalar flavour-singlet states, which mix with one another. One of them is a Nambu-Goldstone boson (in the massless limit), whereas the other receives a mass from the U(1)A axial anomaly. We demonstrate how to measure the mixing between these two states. For moderately heavy fermion masses, we find that the two wave functions are dominated by one of the fermion representations, mixing effects being small.</abstract><type>Conference Paper/Proceeding/Abstract</type><journal>Proceedings of The 41st International Symposium on Lattice Field Theory &#x2014; PoS(LATTICE2024)</journal><volume>466</volume><journalNumber/><paginationStart>138</paginationStart><paginationEnd/><publisher>Sissa Medialab</publisher><placeOfPublication>Trieste, Italy</placeOfPublication><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic>1824-8039</issnElectronic><keywords/><publishedDay>18</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2025</publishedYear><publishedDate>2025-12-18</publishedDate><doi>10.22323/1.466.0138</doi><url/><notes/><college>COLLEGE NANME</college><department>Biosciences Geography and Physics School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>BGPS</DepartmentCode><institution>Swansea University</institution><apcterm>Not Required</apcterm><funders>EB and BL are supported by the EPSRC ExCALIBUR programme ExaTEPP (project EP/X017168/1). EB, BL, MP, FZ are supported by the STFC Consolidated Grant No. ST/X000648/1. EB is supported by the STFC Research Software Engineering Fellowship EP/V052489/1. NF is supported by the STFC Consolidated Grant No. ST/X508834/1. DKH is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701) and the NRF grant MSIT 2021R1A4A5031460 funded by the Korean government. JWL is supported by IBS under the project code IBS-R018-D1. HH and CJDL are supported by the Taiwanese MoST grant 109-2112-M-009-006-MY3 and NSTC grant 112-2112-M-A49-021-MY3. CJDL is also supported by Grants No. 112-2639-M-002-006- ASP and No. 113-2119-M-007-013. BL and MP have been supported by the STFC Consolidated Grant No. ST/T000813/1 and by the the European Research Council (ERC) under the European Union&#x2019;s Horizon 2020 research and innovation program under Grant Agreement No. 813942. DV is supported by the STFC under Consolidated Grant No. ST/X000680/1. Numerical simulations have been performed on the DiRAC Extreme Scaling service at The University of Edinburgh, and on the DiRAC Data Intensive service at Leicester. The DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This equipment was funded by BEIS capital funding via STFC capital grant ST/R00238X/1 and STFC DiRAC Operations grant ST/R001006/1. 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spelling 2026-01-27T12:03:30.1141871 v2 68044 2024-10-22 Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations 7eb526fdce1693fc0b79f33e74cc182d Fabian Zierler Fabian Zierler true false e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false e60be1aa4478b6e530f4bdf6c1cf9857 Niccolo Forzano Niccolo Forzano true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2024-10-22 BGPS We measure the masses of the pseudoscalar flavour-singlet meson states in the Sp(4) gauge theory coupled to two Dirac fermions transforming in the fundamental representation and three Dirac fermions in the antisymmetric representation. This theory provides a compelling ultraviolet completion for the minimal composite Higgs model implementing also partial compositeness for the top quark. The spectrum contains two, comparatively light, pseudoscalar flavour-singlet states, which mix with one another. One of them is a Nambu-Goldstone boson (in the massless limit), whereas the other receives a mass from the U(1)A axial anomaly. We demonstrate how to measure the mixing between these two states. For moderately heavy fermion masses, we find that the two wave functions are dominated by one of the fermion representations, mixing effects being small. Conference Paper/Proceeding/Abstract Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024) 466 138 Sissa Medialab Trieste, Italy 1824-8039 18 12 2025 2025-12-18 10.22323/1.466.0138 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required EB and BL are supported by the EPSRC ExCALIBUR programme ExaTEPP (project EP/X017168/1). EB, BL, MP, FZ are supported by the STFC Consolidated Grant No. ST/X000648/1. EB is supported by the STFC Research Software Engineering Fellowship EP/V052489/1. NF is supported by the STFC Consolidated Grant No. ST/X508834/1. DKH is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701) and the NRF grant MSIT 2021R1A4A5031460 funded by the Korean government. JWL is supported by IBS under the project code IBS-R018-D1. HH and CJDL are supported by the Taiwanese MoST grant 109-2112-M-009-006-MY3 and NSTC grant 112-2112-M-A49-021-MY3. CJDL is also supported by Grants No. 112-2639-M-002-006- ASP and No. 113-2119-M-007-013. BL and MP have been supported by the STFC Consolidated Grant No. ST/T000813/1 and by the the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. DV is supported by the STFC under Consolidated Grant No. ST/X000680/1. Numerical simulations have been performed on the DiRAC Extreme Scaling service at The University of Edinburgh, and on the DiRAC Data Intensive service at Leicester. The DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This equipment was funded by BEIS capital funding via STFC capital grant ST/R00238X/1 and STFC DiRAC Operations grant ST/R001006/1. DiRAC is part of the UKRI Digital Research Infrastructure 2026-01-27T12:03:30.1141871 2024-10-22T18:21:38.8751975 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Fabian Zierler 1 Ed Bennett 0000-0002-1678-6701 2 Niccolo Forzano 3 Deog Ki Hong 4 Ho Hsiao 5 Jong-Wan Lee 6 C.-J. David Lin 7 Biagio Lucini 0000-0001-8974-8266 8 Maurizio Piai 0000-0002-2251-0111 9 Davide Vadacchino 10 68044__36111__e4eb5f5bc13249f3a36b40fdaa61021f.pdf 68044.VoR.pdf 2026-01-27T12:00:18.6087548 Output 633195 application/pdf Version of Record true Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
spellingShingle Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
Fabian Zierler
Ed Bennett
Niccolo Forzano
Biagio Lucini
Maurizio Piai
title_short Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
title_full Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
title_fullStr Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
title_full_unstemmed Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
title_sort Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
author_id_str_mv 7eb526fdce1693fc0b79f33e74cc182d
e1a8e7927d2b093acdc54e74eac95e38
e60be1aa4478b6e530f4bdf6c1cf9857
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv 7eb526fdce1693fc0b79f33e74cc182d_***_Fabian Zierler
e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
e60be1aa4478b6e530f4bdf6c1cf9857_***_Niccolo Forzano
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Fabian Zierler
Ed Bennett
Niccolo Forzano
Biagio Lucini
Maurizio Piai
author2 Fabian Zierler
Ed Bennett
Niccolo Forzano
Deog Ki Hong
Ho Hsiao
Jong-Wan Lee
C.-J. David Lin
Biagio Lucini
Maurizio Piai
Davide Vadacchino
format Conference Paper/Proceeding/Abstract
container_title Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024)
container_volume 466
container_start_page 138
publishDate 2025
institution Swansea University
issn 1824-8039
doi_str_mv 10.22323/1.466.0138
publisher Sissa Medialab
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 measure the masses of the pseudoscalar flavour-singlet meson states in the Sp(4) gauge theory coupled to two Dirac fermions transforming in the fundamental representation and three Dirac fermions in the antisymmetric representation. This theory provides a compelling ultraviolet completion for the minimal composite Higgs model implementing also partial compositeness for the top quark. The spectrum contains two, comparatively light, pseudoscalar flavour-singlet states, which mix with one another. One of them is a Nambu-Goldstone boson (in the massless limit), whereas the other receives a mass from the U(1)A axial anomaly. We demonstrate how to measure the mixing between these two states. For moderately heavy fermion masses, we find that the two wave functions are dominated by one of the fermion representations, mixing effects being small.
published_date 2025-12-18T05:25:17Z
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score 11.096068

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