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Lattice studies of the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac fermions

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

Physical Review D, Volume: 106, Issue: 1

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

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Abstract

We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa60244
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Abstract: We consider the Sp(4) gauge theory coupled to Nf = 2 fundamental and nf = 3 antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with SU(4)/Sp(4) coset, supplemented by partial top compositeness. We study numerically its lattice realisation, and couple the fundamental plaquette action to Wilson- Dirac fermions in mixed representations, by adopting a (rational) hybrid Monte Carlo method, to perform non-trivial tests of the properties of the resulting lattice theory.We find evidence of a surface (with boundaries) of first-order bulk phase transitions in the three- dimensional space of bare parameters (one coupling and two masses). Explicit evaluation of the Dirac eigenvalues confirms the expected patterns of global symmetry breaking. After investigating finite volume effects in the weak-coupling phase of the theory, for the largest available lattice we study the mass spectra of the lightest spin-0 and spin-1 flavoured mesons composed of fermions in each representation, and of the lightest half-integer spin composite particle made of fermions in different representations—the chimera baryon. This work sets the stage for future systematical studies of the non-perturbative dynamics in phenomenologically relevant regions of parameter space.
College: Faculty of Science and Engineering
Funders: We would like to thank Hwancheol Jeong for useful discussions on the computation of the Dirac spectrum. The work of E. B. has been funded in part by the Supercomputing Wales project, which is partly funded by the European Regional Development Fund (ERDF) via Welsh Government, and 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 the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460) and also by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of J. W. L. is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379). The work of C. J. D. L. is supported by the Taiwanese MoST Grant No. 109-2112-M-009-006-MY3. The work of B. L. and M. P. has been supported in part by the STFC Consolidated Grants No. ST/P00055X/1 and 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 B. L. is further supported in part by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. D. V. acknowledges support from the INFN HPC-HTC project. 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) and in National Yang Ming Chiao Tung University (NYCU), and the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are partly 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 (www.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.
Issue: 1