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Sp (4) gauge theories on the lattice: Nf = 2 dynamical fundamental fermions

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

Journal of High Energy Physics, Volume: 2019, Issue: 12, Start page: 53

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

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DOI (Published version): 10.1007/jhep12(2019)053

Abstract

We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa52872
Abstract: We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice action introduce a mass that breaks the global symmetry also explicitly. The resulting pseudo-Nambu-Goldstone bosons describe the SU(4)/Sp(4) coset, and are relevant, in the context of physics beyond the Standard Model, for composite Higgs models. We discuss scale setting, continuum extrapolation and finite volume effects in the lattice theory. We study mesonic composite states, which span representations of the unbroken Sp(4) global symmetry, and we measure masses and decay constants of the (flavoured) spin-0 and spin-1 states accessible to the numerical treatment, as a function of the fermion mass. With help from the effective field theory treatment of such mesons, we perform a first extrapolation towards the massless limit. We assess our results by critically comparing to the literature on other models and to the quenched results, and we conclude by outlining future avenues for further exploration. The results of our spectroscopic analysis provide new input data for future phenomenological studies in the contexts of composite Higgs models, and of dark matter models with a strongly coupled dynamical origin.
Keywords: Lattice Quantum Field Theory; Technicolor and Composite Models; Beyond Standard Model
College: Faculty of Science and Engineering
Funders: The work of EB has been funded in part by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. The work of DKH was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1D1A1B06033701). The work of JWL is supported in part by the National Research Foundation of Korea grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379) and in part by Korea Research Fellowship programme funded by the Ministry of Science, ICT and Future Planning through the National Research Foundation of Korea (2016H1D3A1909283). The work of CJDL is supported by the Taiwanese MoST grant 105-2628-M-009-003-MY4. The work of BL and MP has been supported in part by the STFC Consolidated Grants ST/L000369/1 and ST/P00055X/1. The work of BL is further supported in part by the Royal Society Wolfson Research Merit Award WM170010. DV acknowledges support from the INFN HPC-HTC project. Numerical simulations have been performed on the Swansea SUNBIRD system, on the local HPC clusters in Pusan National University (PNU) and in National Chiao-Tung University (NCTU), and on the Cambridge Service for Data Driven Discovery (CSD3). The Swansea SUNBIRD system is part of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. CSD3 is operated in part by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility (https://dirac.ac.uk/). The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure. Article funded by SCOAP3.
Issue: 12
Start Page: 53

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