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Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations

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

Physical Review D, Volume: 110, Issue: 7

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

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DOI (Published version): 10.1103/physrevd.110.074504

Abstract

We provide the first extensive, numerical study of the non-trivial problem of mixing between flavor-singlet composite states emerging in strongly coupled lattice field theories with matter field content consisting of fermions transforming in different representations of the gauge group. The theory o...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2024
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The theory of interest is the minimal candidate for a composite Higgs model that also accommodates a mechanism for top partial compositeness: the ⁢⁡(4) gauge theory coupled to two (Dirac) fermions transforming as the fundamental and three as the two-index antisymmetric representation of the gauge group, respectively. We apply an admixture of APE and Wuppertal smearings, as well as the generalized eigenvalue problem approach, to two-point functions involving flavor-singlet mesons, for ensembles having time extent longer than the space extent. We demonstrate that, in the region of lattice parameter space accessible to this study, both masses and mixing angles can be measured effectively, despite the presence of (numerically noisy) contributions from disconnected diagrams.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>110</volume><journalNumber>7</journalNumber><paginationStart/><paginationEnd/><publisher>American Physical Society (APS)</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>2470-0010</issnPrint><issnElectronic>2470-0029</issnElectronic><keywords/><publishedDay>7</publishedDay><publishedMonth>10</publishedMonth><publishedYear>2024</publishedYear><publishedDate>2024-10-07</publishedDate><doi>10.1103/physrevd.110.074504</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics and Computer Science School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>MACS</DepartmentCode><institution>Swansea University</institution><apcterm>SU Library paid the OA fee (TA Institutional Deal)</apcterm><funders>WewouldliketothankGiacomoCacciapaglia,Gabriele Ferretti,ThomasFlacke,AnnaHasenfratz,ChulwooJung, andSaradaRajeev,forusefuldiscussionsduringthe“PNU WorkshoponCompositeHiggs:Latticestudyandall,”at Haeundae, Busan, inFebruary2024, where preliminary resultsofthisstudywerepresented.TheworkofE.B.and B.L. is supported inpart by theEPSRCExCALIBUR programmeExaTEPP (Project No. EP/X017168/1). The workofE.B.,B.L.,M.P.,andF.Z.hasbeensupportedby the STFCConsolidatedGrant No. ST/X000648/1. The workofE.B.hasalsobeensupportedbytheUKRIScience and Technology Facilities Council (STFC) Research Software Engineering Fellowship No. EP/V052489/1. The work of N.F. has been supported by the STFC DoctoralPartnershipGrantNo.ST/X508834/1.Theworkof D.K.H. was supported by theBasic ScienceResearch Program through the National Research Foundation of Korea (NRF) funded by theMinistry of Education (NRF-2017R1D1A1B06033701). The work of D.K.H. wasfurthersupportedbytheNationalResearchFoundation ofKorea (NRF) grant fundedby theKoreagovernment (MSIT) (2021R1A4A5031460). Theworkof J.W.L. is supportedbyIBSunder theProjectCode,No. IBS-R018D1.TheworkofH.H.andC.J.D.L. issupportedbythe TaiwaneseMoSTGrant No. 109-2112-M-009-006-MY3 andNSTCGrant No. 112-2112-M-A49-021-MY3. The work of C.J.D.L. is also supported by Taiwanese NationalScienceandTechnologyCouncil (NSTC)Grants No.112-2639-M-002-006-ASPandNo.113-2119-M-007013.TheworkofB.L.andM.P.hasbeenfurthersupported inpartbytheSTFCConsolidatedGrantNo.ST/T000813/1. B.L.andM.P.receivedfundingfromtheEuropeanResearch Council (ERC)under theEuropeanUnion’sHorizon2020 researchandinnovationprogramunderGrantAgreement No.813942.TheworkofD.V.issupportedbySTFCunder ConsolidatedGrantNo.ST/X000680/1.Numerical simulationshavebeenperformedontheDiRACExtremeScaling serviceat theUniversityofEdinburgh,andontheDiRAC Data Intensive serviceatLeicester.TheDiRACExtreme Scaling service is operated by the Edinburgh Parallel ComputingCentreonbehalf of theSTFCDiRACHPC Facility(www.dirac.ac.uk).Thisequipmentwasfundedby BEIS capital funding via STFCcapital Grant No. ST/ R00238X/1andSTFCDiRACOperationsGrantNo.ST/ R001006/1.DiRACispartoftheNationale-Infrastructure.</funders><projectreference/><lastEdited>2024-10-25T11:23:40.0954892</lastEdited><Created>2024-09-11T08:32:49.1223742</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Ed</firstname><surname>Bennett</surname><orcid>0000-0002-1678-6701</orcid><order>1</order></author><author><firstname>Niccolo</firstname><surname>Forzano</surname><order>2</order></author><author><firstname>Deog Ki</firstname><surname>Hong</surname><orcid>0000-0002-3923-4184</orcid><order>3</order></author><author><firstname>Ho</firstname><surname>Hsiao</surname><order>4</order></author><author><firstname>Jong-Wan</firstname><surname>Lee</surname><orcid>0000-0002-4616-2422</orcid><order>5</order></author><author><firstname>C.-J. 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spelling v2 67646 2024-09-11 Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations 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 7eb526fdce1693fc0b79f33e74cc182d Fabian Zierler Fabian Zierler true false 2024-09-11 MACS We provide the first extensive, numerical study of the non-trivial problem of mixing between flavor-singlet composite states emerging in strongly coupled lattice field theories with matter field content consisting of fermions transforming in different representations of the gauge group. The theory of interest is the minimal candidate for a composite Higgs model that also accommodates a mechanism for top partial compositeness: the ⁢⁡(4) gauge theory coupled to two (Dirac) fermions transforming as the fundamental and three as the two-index antisymmetric representation of the gauge group, respectively. We apply an admixture of APE and Wuppertal smearings, as well as the generalized eigenvalue problem approach, to two-point functions involving flavor-singlet mesons, for ensembles having time extent longer than the space extent. We demonstrate that, in the region of lattice parameter space accessible to this study, both masses and mixing angles can be measured effectively, despite the presence of (numerically noisy) contributions from disconnected diagrams. Journal Article Physical Review D 110 7 American Physical Society (APS) 2470-0010 2470-0029 7 10 2024 2024-10-07 10.1103/physrevd.110.074504 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University SU Library paid the OA fee (TA Institutional Deal) WewouldliketothankGiacomoCacciapaglia,Gabriele Ferretti,ThomasFlacke,AnnaHasenfratz,ChulwooJung, andSaradaRajeev,forusefuldiscussionsduringthe“PNU WorkshoponCompositeHiggs:Latticestudyandall,”at Haeundae, Busan, inFebruary2024, where preliminary resultsofthisstudywerepresented.TheworkofE.B.and B.L. is supported inpart by theEPSRCExCALIBUR programmeExaTEPP (Project No. EP/X017168/1). The workofE.B.,B.L.,M.P.,andF.Z.hasbeensupportedby the STFCConsolidatedGrant No. ST/X000648/1. The workofE.B.hasalsobeensupportedbytheUKRIScience and Technology Facilities Council (STFC) Research Software Engineering Fellowship No. EP/V052489/1. The work of N.F. has been supported by the STFC DoctoralPartnershipGrantNo.ST/X508834/1.Theworkof D.K.H. was supported by theBasic ScienceResearch Program through the National Research Foundation of Korea (NRF) funded by theMinistry of Education (NRF-2017R1D1A1B06033701). The work of D.K.H. wasfurthersupportedbytheNationalResearchFoundation ofKorea (NRF) grant fundedby theKoreagovernment (MSIT) (2021R1A4A5031460). Theworkof J.W.L. is supportedbyIBSunder theProjectCode,No. IBS-R018D1.TheworkofH.H.andC.J.D.L. issupportedbythe TaiwaneseMoSTGrant No. 109-2112-M-009-006-MY3 andNSTCGrant No. 112-2112-M-A49-021-MY3. The work of C.J.D.L. is also supported by Taiwanese NationalScienceandTechnologyCouncil (NSTC)Grants No.112-2639-M-002-006-ASPandNo.113-2119-M-007013.TheworkofB.L.andM.P.hasbeenfurthersupported inpartbytheSTFCConsolidatedGrantNo.ST/T000813/1. B.L.andM.P.receivedfundingfromtheEuropeanResearch Council (ERC)under theEuropeanUnion’sHorizon2020 researchandinnovationprogramunderGrantAgreement No.813942.TheworkofD.V.issupportedbySTFCunder ConsolidatedGrantNo.ST/X000680/1.Numerical simulationshavebeenperformedontheDiRACExtremeScaling serviceat theUniversityofEdinburgh,andontheDiRAC Data Intensive serviceatLeicester.TheDiRACExtreme Scaling service is operated by the Edinburgh Parallel ComputingCentreonbehalf of theSTFCDiRACHPC Facility(www.dirac.ac.uk).Thisequipmentwasfundedby BEIS capital funding via STFCcapital Grant No. ST/ R00238X/1andSTFCDiRACOperationsGrantNo.ST/ R001006/1.DiRACispartoftheNationale-Infrastructure. 2024-10-25T11:23:40.0954892 2024-09-11T08:32:49.1223742 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ed Bennett 0000-0002-1678-6701 1 Niccolo Forzano 2 Deog Ki Hong 0000-0002-3923-4184 3 Ho Hsiao 4 Jong-Wan Lee 0000-0002-4616-2422 5 C.-J. David Lin 0000-0003-3743-0840 6 Biagio Lucini 0000-0001-8974-8266 7 Maurizio Piai 0000-0002-2251-0111 8 Davide Vadacchino 0000-0002-5783-5602 9 Fabian Zierler 10 67646__32549__9bd522cfb233495bb8c6b4e15e746a0b.pdf PhysRevD.110.074504.pdf 2024-10-07T15:49:43.9434205 Output 761160 application/pdf Version of Record true Released under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/ 268 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@swansea.ac.uk true 10.5281/zenodo.13349269 false 271 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@swansea.ac.uk true 10.5281/zenodo.13349298 false
title Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
spellingShingle Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
Ed Bennett
Niccolo Forzano
Biagio Lucini
Maurizio Piai
Fabian Zierler
title_short Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_full Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_fullStr Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_full_unstemmed Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
title_sort Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
e60be1aa4478b6e530f4bdf6c1cf9857
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
7eb526fdce1693fc0b79f33e74cc182d
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
e60be1aa4478b6e530f4bdf6c1cf9857_***_Niccolo Forzano
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
7eb526fdce1693fc0b79f33e74cc182d_***_Fabian Zierler
author Ed Bennett
Niccolo Forzano
Biagio Lucini
Maurizio Piai
Fabian Zierler
author2 Ed Bennett
Niccolo Forzano
Deog Ki Hong
Ho Hsiao
Jong-Wan Lee
C.-J. David Lin
Biagio Lucini
Maurizio Piai
Davide Vadacchino
Fabian Zierler
format Journal article
container_title Physical Review D
container_volume 110
container_issue 7
publishDate 2024
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.110.074504
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 provide the first extensive, numerical study of the non-trivial problem of mixing between flavor-singlet composite states emerging in strongly coupled lattice field theories with matter field content consisting of fermions transforming in different representations of the gauge group. The theory of interest is the minimal candidate for a composite Higgs model that also accommodates a mechanism for top partial compositeness: the ⁢⁡(4) gauge theory coupled to two (Dirac) fermions transforming as the fundamental and three as the two-index antisymmetric representation of the gauge group, respectively. We apply an admixture of APE and Wuppertal smearings, as well as the generalized eigenvalue problem approach, to two-point functions involving flavor-singlet mesons, for ensembles having time extent longer than the space extent. We demonstrate that, in the region of lattice parameter space accessible to this study, both masses and mixing angles can be measured effectively, despite the presence of (numerically noisy) contributions from disconnected diagrams.
published_date 2024-10-07T11:23:38Z
_version_ 1813881100637831168
score 11.033506

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