Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions
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 symm...
Main Authors: | , , , , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2019-12-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP12(2019)053 |
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author | Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino |
author_facet | Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino |
author_sort | Ed Bennett |
collection | DOAJ |
description | 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. |
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id | doaj.art-e860d6b46f3647c0bf4337362546e64e |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-16T13:59:11Z |
publishDate | 2019-12-01 |
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series | Journal of High Energy Physics |
spelling | doaj.art-e860d6b46f3647c0bf4337362546e64e2022-12-21T22:29:08ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191216110.1007/JHEP12(2019)053Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermionsEd Bennett0Deog Ki Hong1Jong-Wan Lee2C.-J. David Lin3Biagio Lucini4Maurizio Piai5Davide Vadacchino6Swansea Academy of Advanced Computing, Swansea UniversityDepartment of Physics, Pusan National UniversityDepartment of Physics, Pusan National UniversityInstitute of Physics, National Chiao-Tung UniversityDepartment of Mathematics, College of Science, Swansea UniversityDepartment of Physics, College of Science, Swansea UniversityINFN, Sezione di PisaAbstract 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.https://doi.org/10.1007/JHEP12(2019)053Lattice Quantum Field TheoryTechnicolor and Composite ModelsBeyond Standard Model |
spellingShingle | Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions Journal of High Energy Physics Lattice Quantum Field Theory Technicolor and Composite Models Beyond Standard Model |
title | Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions |
title_full | Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions |
title_fullStr | Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions |
title_full_unstemmed | Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions |
title_short | Sp (4) gauge theories on the lattice: N f = 2 dynamical fundamental fermions |
title_sort | sp 4 gauge theories on the lattice n f 2 dynamical fundamental fermions |
topic | Lattice Quantum Field Theory Technicolor and Composite Models Beyond Standard Model |
url | https://doi.org/10.1007/JHEP12(2019)053 |
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