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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

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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...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa69030
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 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.
College: Faculty of Science and Engineering
Funders: 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.
Issue: 7
Start Page: 074511

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