Mixing between flavor singlets in lattice gauge theories coupled to matter fields in multiple representations
We provide the first extensive, numerical study of the nontrivial 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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>S</a:mi><a:mi>p</a:mi><a:mo stretchy="false">(</a:mo><a:mn>4</a:mn><a:mo stretchy="false">)</a:mo></a:math> 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 smearing 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 by the American Physical Society 2024
Authors
- Biagio Lucini (ORCID: https://orcid.org/0000-0001-8974-8266)
- C.-J. David Lin (ORCID: https://orcid.org/0000-0003-3743-0840)
- Jong-Wan Lee (ORCID: https://orcid.org/0000-0002-4616-2422)
- Niccolò Forzano (ORCID: https://orcid.org/0000-0003-0985-8858)
- Maurizio Piai (ORCID: https://orcid.org/0000-0002-2251-0111)
- Fabian Zierler (ORCID: https://orcid.org/0000-0002-8670-4054)
- Ho Hsiao (ORCID: https://orcid.org/0000-0002-8522-5190)
- Deog Ki Hong (ORCID: https://orcid.org/0000-0002-3923-4184)
- Davide Vadacchino (ORCID: https://orcid.org/0000-0002-5783-5602)
- Ed Bennett (ORCID: https://orcid.org/0000-0002-1678-6701)
Institutions
- National Yang Ming Chiao Tung University (TW)
- Chung Yuan Christian University (TW)
- Swansea University (GB)
- Institute for Basic Science (KR)
- Pusan National University (KR)
- University of Plymouth (GB)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-10-07
- DOI
- https://doi.org/10.1103/physrevd.110.074504
- Citations
- 7
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 4.62
Funders
- Department for Business, Energy and Industrial Strategy, UK Government
- UK Research and Innovation
- Ministry of Education
- National Research Foundation of Korea
- Ministry of Science and Technology, Taiwan
- Institute for Basic Science
- Ministry of Science and ICT, South Korea
- Horizon 2020 Framework Programme
- Engineering and Physical Sciences Research Council
- Science and Technology Facilities Council
- European Research Council