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...

Full description

Bibliographic Details
Main Authors: Ed Bennett, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2019)053
_version_ 1818605703502233600
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.
first_indexed 2024-12-16T13:59:11Z
format Article
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
publisher SpringerOpen
record_format Article
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
work_keys_str_mv AT edbennett sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions
AT deogkihong sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions
AT jongwanlee sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions
AT cjdavidlin sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions
AT biagiolucini sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions
AT mauriziopiai sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions
AT davidevadacchino sp4gaugetheoriesonthelatticenf2dynamicalfundamentalfermions