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

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

doi:10.22323/1.466.0138

Conference Paper/Proceeding/Abstract 159 views 24 downloads

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

Fabian Zierler, Ed Bennett

, Niccolo Forzano, Deog Ki Hong

, Ho Hsiao

, Jong-Wan Lee

, C.-J. David Lin

, Biagio Lucini

, Maurizio Piai

, 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 , Niccolo Forzano, Biagio Lucini , Maurizio Piai

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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 2024
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa68044

first_indexed	2024-10-22T17:27:08Z
last_indexed	2025-04-03T06:14:30Z
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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. 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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. 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spelling	2025-04-02T14:19:32.8765210 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 5 12 2024 2024-12-05 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 2025-04-02T14:19:32.8765210 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 0000-0002-3923-4184 4 Ho Hsiao 0000-0002-8522-5190 5 Jong-Wan Lee 0000-0002-4616-2422 6 C.-J. David Lin 0000-0003-3743-0840 7 Biagio Lucini 0000-0001-8974-8266 8 Maurizio Piai 0000-0002-2251-0111 9 Davide Vadacchino 0000-0002-5783-5602 10 68044__32677__95e1bba2842a4c0aa93023a2f0641f74.pdf 2410.11412v1.pdf 2024-10-22T18:26:52.1311077 Output 653149 application/pdf Accepted Manuscript true false
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	2024
institution	Swansea University
issn	1824-8039
doi_str_mv	10.22323/1.466.0138
publisher	Sissa Medialab
college_str	Faculty of Science and Engineering
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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
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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	2024-12-05T08:13:59Z
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score	11.056659

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

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