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Flavour singlet mixing in Sp(4) gauge theory with fermions in multiple representations
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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...
| Published in: | Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024) |
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| ISSN: | 1824-8039 |
| Published: |
Trieste, Italy
Sissa Medialab
2024
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa68044 |
| 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 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. |
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| College: |
Faculty of Science and Engineering |
| 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’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 |
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