No Cover Image

Journal article 79 views 2 downloads

Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions

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

Physical Review D, Volume: 111, Issue: 7, Start page: 074511

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

  • PhysRevD.111.074511.pdf

    PDF | Version of Record

    Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (CC BY 4.0).

    Download (1.45MB)

Check full text

DOI (Published version): 10.1103/physrevd.111.074511

Abstract

We report the results of an extensive numerical study of the ⁢⁡(4) lattice gauge theory coupled to fermion matter content consisting of three (Dirac) flavors, transforming in the two-index antisymmetric representation of the gauge group. In the presence of (degenerate) fermion masses, the theory has...

Full description

Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2025
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa69030
first_indexed 2025-03-06T05:40:29Z
last_indexed 2025-04-24T06:19:34Z
id cronfa69030
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807 xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><datestamp>2025-04-23T14:35:27.2029157</datestamp><bib-version>v2</bib-version><id>69030</id><entry>2025-03-05</entry><title>Meson spectroscopy in the &#x2062;&#x2061;(4) gauge theory with three antisymmetric fermions</title><swanseaauthors><author><sid>e1a8e7927d2b093acdc54e74eac95e38</sid><ORCID>0000-0002-1678-6701</ORCID><firstname>Ed</firstname><surname>Bennett</surname><name>Ed Bennett</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>7e6fcfe060e07a351090e2a8aba363cf</sid><ORCID>0000-0001-8974-8266</ORCID><firstname>Biagio</firstname><surname>Lucini</surname><name>Biagio Lucini</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>3ce295f2c7cc318bac7da18f9989d8c3</sid><ORCID>0000-0002-2251-0111</ORCID><firstname>Maurizio</firstname><surname>Piai</surname><name>Maurizio Piai</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2025-03-05</date><deptcode>MACS</deptcode><abstract>We report the results of an extensive numerical study of the &#x2062;&#x2061;(4) lattice gauge theory coupled to fermion matter content consisting of three (Dirac) flavors, transforming in the two-index antisymmetric representation of the gauge group. In the presence of (degenerate) fermion masses, the theory has an enhanced global &#x2062;&#x2061;(6) symmetry, broken explicitly and spontaneously to its &#x2062;&#x2061;(6) subgroup. This symmetry breaking pattern makes the theory interesting for applications in the context of composite Higgs models, as well as for the implementation of top partial compositeness. Alternatively, it can also provide a dynamical realization of the strongly interacting massive particle paradigm for the origin of dark matter. We adopt the standard plaquette gauge action, along with the Wilson-Dirac formulation for the fermions, and apply the (rational) hybrid Monte Carlo algorithm in our ensemble generation process. We monitor the autocorrelation and topology of the ensembles. We explore the bare parameter space, and identify the weak and strong coupling regimes, which are separated by a line of first-order bulk phase transitions.We measure two-point correlation functions between meson operators that transform as nontrivial representations of &#x2062;&#x2061;(6), and extract the ground-state masses, in all accessible spin and parity channels. We assess the size of finite volume effects, and restrict attention to measurements in which these systematic effects are negligibly small compared to the statistical uncertainties. The accuracy of our data enables us to extract the decay constants of the composite particles in the pseudoscalar, vector and axial-vector channels. In addition, we measure the mass of the first excited state for one of the channels, the vector meson, by performing a generalized eigenvalue problem analysis involving two different meson operators. Spectral quantities show a mass dependence that is compatible with the expectation that, at long distances, the theory undergoes confinement, accompanied by the spontaneous breaking of the approximate global symmetries acting on the matter fields. Finally, we discuss the continuum and massless extrapolations within the framework of Wilson chiral perturbation theory, after setting the physical scale using the gradient flow method, and compare the results to those of existing studies in the quenched approximation, as well as to the literature on closely related theories.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>111</volume><journalNumber>7</journalNumber><paginationStart>074511</paginationStart><paginationEnd/><publisher>American Physical Society (APS)</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>2470-0010</issnPrint><issnElectronic>2470-0029</issnElectronic><keywords/><publishedDay>14</publishedDay><publishedMonth>4</publishedMonth><publishedYear>2025</publishedYear><publishedDate>2025-04-14</publishedDate><doi>10.1103/physrevd.111.074511</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>Other</apcterm><funders>The work of E.&#x2009;B. and B.&#x2009;L. is supported in part by the EPSRC ExCALIBUR program ExaTEPP (Project No. EP/X017168/1). The work of E.&#x2009;B., B.&#x2009;L., and M.&#x2009;P. has been supported by the STFC Consolidated Grant No. ST/X000648/1. The work of E.&#x2009;B. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of D.&#x2009;K.&#x2009;H. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of D.&#x2009;K.&#x2009;H. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of J.-W.&#x2009;L. is supported by IBS under the Project code, IBS-R018-D1. The work of H.&#x2009;H. and C.-J.&#x2009;D.&#x2009;L. is supported by the Taiwanese MoST Grant No. 109-2112-M-009-006-MY3 and NSTC Grant No. 112-2112-M-A49-021-MY3. The work of C.-J.&#x2009;D.&#x2009;L. is also supported by Grants No. 112-2639-M-002-006-ASP and No. 113-2119-M-007-013. The work of B.&#x2009;L. and M.&#x2009;P. has been further supported in part by the STFC Consolidated Grant No. ST/T000813/1. B.&#x2009;L. and M.&#x2009;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 D.&#x2009;V. is supported by STFC under Consolidated Grant No. ST/X000680/1. 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), in Institute for Basic Science (IBS) and in National Yang Ming Chiao Tung University (NYCU), and on the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are part 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 (https://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.</funders><projectreference/><lastEdited>2025-04-23T14:35:27.2029157</lastEdited><Created>2025-03-05T07:59:36.0211855</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>Deog Ki</firstname><surname>Hong</surname><orcid>0000-0002-3923-4184</orcid><order>2</order></author><author><firstname>Ho</firstname><surname>Hsiao</surname><orcid>0000-0002-8522-5190</orcid><order>3</order></author><author><firstname>Jong-Wan</firstname><surname>Lee</surname><orcid>0000-0002-4616-2422</orcid><order>4</order></author><author><firstname>C.-J. David</firstname><surname>Lin</surname><orcid>0000-0003-3743-0840</orcid><order>5</order></author><author><firstname>Biagio</firstname><surname>Lucini</surname><orcid>0000-0001-8974-8266</orcid><order>6</order></author><author><firstname>Maurizio</firstname><surname>Piai</surname><orcid>0000-0002-2251-0111</orcid><order>7</order></author><author><firstname>Davide</firstname><surname>Vadacchino</surname><orcid>0000-0002-5783-5602</orcid><order>8</order></author></authors><documents><document><filename>69030__34035__5172261fd2a748218430f4f7b66561b7.pdf</filename><originalFilename>PhysRevD.111.074511.pdf</originalFilename><uploaded>2025-04-14T15:22:41.4673872</uploaded><type>Output</type><contentLength>1525255</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (CC BY 4.0).</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>https://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs><OutputDur><Id>307</Id><DataControllerName>Ed Bennett</DataControllerName><DataControllerOrcid>0000-0002-1678-6701</DataControllerOrcid><DataControllerEmail>E.J.Bennett@swansea.ac.uk</DataControllerEmail><IsDataAvailableOnline>true</IsDataAvailableOnline><DataNotAvailableOnlineReasonId xsi:nil="true"/><DurUrl>10.5281/zenodo.13819562</DurUrl><IsDurRestrictions>false</IsDurRestrictions><DurRestrictionReasonId xsi:nil="true"/><DurEmbargoDate xsi:nil="true"/></OutputDur><OutputDur><Id>308</Id><DataControllerName>Ed Bennett</DataControllerName><DataControllerOrcid>0000-0002-1678-6701</DataControllerOrcid><DataControllerEmail>E.J.Bennett@swansea.ac.uk</DataControllerEmail><IsDataAvailableOnline>true</IsDataAvailableOnline><DataNotAvailableOnlineReasonId xsi:nil="true"/><DurUrl>10.5281/zenodo.13819431</DurUrl><IsDurRestrictions>false</IsDurRestrictions><DurRestrictionReasonId xsi:nil="true"/><DurEmbargoDate xsi:nil="true"/></OutputDur></OutputDurs></rfc1807>
spelling 2025-04-23T14:35:27.2029157 v2 69030 2025-03-05 Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric 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 2025-03-05 MACS We report the results of an extensive numerical study of the ⁢⁡(4) lattice gauge theory coupled to fermion matter content consisting of three (Dirac) flavors, transforming in the two-index antisymmetric representation of the gauge group. In the presence of (degenerate) fermion masses, the theory has an enhanced global ⁢⁡(6) symmetry, broken explicitly and spontaneously to its ⁢⁡(6) subgroup. This symmetry breaking pattern makes the theory interesting for applications in the context of composite Higgs models, as well as for the implementation of top partial compositeness. Alternatively, it can also provide a dynamical realization of the strongly interacting massive particle paradigm for the origin of dark matter. We adopt the standard plaquette gauge action, along with the Wilson-Dirac formulation for the fermions, and apply the (rational) hybrid Monte Carlo algorithm in our ensemble generation process. We monitor the autocorrelation and topology of the ensembles. We explore the bare parameter space, and identify the weak and strong coupling regimes, which are separated by a line of first-order bulk phase transitions.We measure two-point correlation functions between meson operators that transform as nontrivial representations of ⁢⁡(6), and extract the ground-state masses, in all accessible spin and parity channels. We assess the size of finite volume effects, and restrict attention to measurements in which these systematic effects are negligibly small compared to the statistical uncertainties. The accuracy of our data enables us to extract the decay constants of the composite particles in the pseudoscalar, vector and axial-vector channels. In addition, we measure the mass of the first excited state for one of the channels, the vector meson, by performing a generalized eigenvalue problem analysis involving two different meson operators. Spectral quantities show a mass dependence that is compatible with the expectation that, at long distances, the theory undergoes confinement, accompanied by the spontaneous breaking of the approximate global symmetries acting on the matter fields. Finally, we discuss the continuum and massless extrapolations within the framework of Wilson chiral perturbation theory, after setting the physical scale using the gradient flow method, and compare the results to those of existing studies in the quenched approximation, as well as to the literature on closely related theories. Journal Article Physical Review D 111 7 074511 American Physical Society (APS) 2470-0010 2470-0029 14 4 2025 2025-04-14 10.1103/physrevd.111.074511 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Other The work of E. B. and B. L. is supported in part by the EPSRC ExCALIBUR program ExaTEPP (Project No. EP/X017168/1). The work of E. B., B. L., and M. P. has been supported by the STFC Consolidated Grant No. ST/X000648/1. The work of E. B. has also been supported 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 Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of D. K. H. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of J.-W. L. is supported by IBS under the Project code, IBS-R018-D1. The work of H. H. and C.-J. D. L. is supported by the Taiwanese MoST Grant No. 109-2112-M-009-006-MY3 and NSTC Grant No. 112-2112-M-A49-021-MY3. The work of C.-J. D. L. is also supported by Grants No. 112-2639-M-002-006-ASP and No. 113-2119-M-007-013. The work of B. L. and M. P. has been further supported in part by the STFC Consolidated Grant 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 D. V. is supported by STFC under Consolidated Grant No. ST/X000680/1. 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), in Institute for Basic Science (IBS) and in National Yang Ming Chiao Tung University (NYCU), and on the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are part 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 (https://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. 2025-04-23T14:35:27.2029157 2025-03-05T07:59:36.0211855 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 0000-0002-8522-5190 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 Maurizio Piai 0000-0002-2251-0111 7 Davide Vadacchino 0000-0002-5783-5602 8 69030__34035__5172261fd2a748218430f4f7b66561b7.pdf PhysRevD.111.074511.pdf 2025-04-14T15:22:41.4673872 Output 1525255 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (CC BY 4.0). true eng https://creativecommons.org/licenses/by/4.0/ 307 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@swansea.ac.uk true 10.5281/zenodo.13819562 false 308 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@swansea.ac.uk true 10.5281/zenodo.13819431 false
title Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions
spellingShingle Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions
Ed Bennett
Biagio Lucini
Maurizio Piai
title_short Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions
title_full Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions
title_fullStr Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions
title_full_unstemmed Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric fermions
title_sort Meson spectroscopy in the ⁢⁡(4) gauge theory with three antisymmetric 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
Ho Hsiao
Jong-Wan Lee
C.-J. David Lin
Biagio Lucini
Maurizio Piai
Davide Vadacchino
format Journal article
container_title Physical Review D
container_volume 111
container_issue 7
container_start_page 074511
publishDate 2025
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.111.074511
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 report the results of an extensive numerical study of the ⁢⁡(4) lattice gauge theory coupled to fermion matter content consisting of three (Dirac) flavors, transforming in the two-index antisymmetric representation of the gauge group. In the presence of (degenerate) fermion masses, the theory has an enhanced global ⁢⁡(6) symmetry, broken explicitly and spontaneously to its ⁢⁡(6) subgroup. This symmetry breaking pattern makes the theory interesting for applications in the context of composite Higgs models, as well as for the implementation of top partial compositeness. Alternatively, it can also provide a dynamical realization of the strongly interacting massive particle paradigm for the origin of dark matter. We adopt the standard plaquette gauge action, along with the Wilson-Dirac formulation for the fermions, and apply the (rational) hybrid Monte Carlo algorithm in our ensemble generation process. We monitor the autocorrelation and topology of the ensembles. We explore the bare parameter space, and identify the weak and strong coupling regimes, which are separated by a line of first-order bulk phase transitions.We measure two-point correlation functions between meson operators that transform as nontrivial representations of ⁢⁡(6), and extract the ground-state masses, in all accessible spin and parity channels. We assess the size of finite volume effects, and restrict attention to measurements in which these systematic effects are negligibly small compared to the statistical uncertainties. The accuracy of our data enables us to extract the decay constants of the composite particles in the pseudoscalar, vector and axial-vector channels. In addition, we measure the mass of the first excited state for one of the channels, the vector meson, by performing a generalized eigenvalue problem analysis involving two different meson operators. Spectral quantities show a mass dependence that is compatible with the expectation that, at long distances, the theory undergoes confinement, accompanied by the spontaneous breaking of the approximate global symmetries acting on the matter fields. Finally, we discuss the continuum and massless extrapolations within the framework of Wilson chiral perturbation theory, after setting the physical scale using the gradient flow method, and compare the results to those of existing studies in the quenched approximation, as well as to the literature on closely related theories.
published_date 2025-04-14T09:40:13Z
_version_ 1830272644465819648
score 11.060726

Similar Items