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Spectrum of mesons in quenched ⁢⁡(2⁢) gauge theories

Ed Bennett Orcid Logo, Jack Holligan Orcid Logo, Deog Ki Hong 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: 109, Issue: 9

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

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Abstract

We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approxi- mation. For the Sp(4), Sp(6), and Sp(8) gauge groups, the (Dirac) fermions transform in either the fundam...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2024
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa66071
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Abstract: We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approxi- mation. For the Sp(4), Sp(6), and Sp(8) gauge groups, the (Dirac) fermions transform in either the fundamental, or the 2-index, antisymmetric or symmetric, representations. This study sets the stage for future precision calculations with dynamical fermions in the low mass region of lattice parame- ter space. Our results have potential phenomenological applications ranging from composite Higgs models, to top (partial) compositeness, to dark matter models with composite, strong-coupling dy- namical origin. Having adopted the Wilson flow as a scale-setting procedure, we apply Wilson chiral perturbation theory to extract the continuum and massless limits for the observables of interest. The resulting measurements are used to perform a simplified extrapolation to the large-N limit, hence drawing a preliminary connection with gauge theories with unitary groups. We conclude with a brief discussion of the Weinberg sum rules.
College: Faculty of Science and Engineering
Funders: Funded by SCOAP3.
Issue: 9