Topological terms in Composite Higgs models

Abstract We apply a recent classification of topological action terms to Composite Higgs models based on a variety of coset spaces G/H and discuss their phenomenology. The topological terms, which can all be obtained by integrating (possibly only locally-defined) differential forms, come in one of t...

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Main Authors: Joe Davighi, Ben Gripaios
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2018)169
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author Joe Davighi
Ben Gripaios
author_facet Joe Davighi
Ben Gripaios
author_sort Joe Davighi
collection DOAJ
description Abstract We apply a recent classification of topological action terms to Composite Higgs models based on a variety of coset spaces G/H and discuss their phenomenology. The topological terms, which can all be obtained by integrating (possibly only locally-defined) differential forms, come in one of two types, with substantially differing consequences for phenomenology. The first type of term (which appears in the minimal model based on SO(5)/SO(4)) is a field theory generalization of the Aharonov-Bohm phase in quantum mechanics. The phenomenological effects of such a term arise only at the non-perturbative level, and lead to P and CP violation in the Higgs sector. The second type of term (which appears in the model based on SO(6)/SO(5)) is a field theory generalization of the Dirac monopole in quantum mechanics and has physical effects even at the classical level. Perhaps most importantly, measuring the coefficient of such a term can allow one to probe the structure of the underlying microscopic theory. A particularly rich topological structure, with 6 distinct terms, is uncovered for the model based on SO(6)/SO(4), containing 2 Higgs doublets and a singlet. Of the corresponding couplings, one is an integer and one is a phase.
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spelling doaj.art-8bac01a242fa480badd843cf93efcedd2022-12-22T00:52:00ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181112610.1007/JHEP11(2018)169Topological terms in Composite Higgs modelsJoe Davighi0Ben Gripaios1Department of Applied Mathematics and Theoretical Physics, University of CambridgeCavendish Laboratory, University of CambridgeAbstract We apply a recent classification of topological action terms to Composite Higgs models based on a variety of coset spaces G/H and discuss their phenomenology. The topological terms, which can all be obtained by integrating (possibly only locally-defined) differential forms, come in one of two types, with substantially differing consequences for phenomenology. The first type of term (which appears in the minimal model based on SO(5)/SO(4)) is a field theory generalization of the Aharonov-Bohm phase in quantum mechanics. The phenomenological effects of such a term arise only at the non-perturbative level, and lead to P and CP violation in the Higgs sector. The second type of term (which appears in the model based on SO(6)/SO(5)) is a field theory generalization of the Dirac monopole in quantum mechanics and has physical effects even at the classical level. Perhaps most importantly, measuring the coefficient of such a term can allow one to probe the structure of the underlying microscopic theory. A particularly rich topological structure, with 6 distinct terms, is uncovered for the model based on SO(6)/SO(4), containing 2 Higgs doublets and a singlet. Of the corresponding couplings, one is an integer and one is a phase.http://link.springer.com/article/10.1007/JHEP11(2018)169Beyond Standard ModelEffective Field TheoriesTechnicolor and Composite Models
spellingShingle Joe Davighi
Ben Gripaios
Topological terms in Composite Higgs models
Journal of High Energy Physics
Beyond Standard Model
Effective Field Theories
Technicolor and Composite Models
title Topological terms in Composite Higgs models
title_full Topological terms in Composite Higgs models
title_fullStr Topological terms in Composite Higgs models
title_full_unstemmed Topological terms in Composite Higgs models
title_short Topological terms in Composite Higgs models
title_sort topological terms in composite higgs models
topic Beyond Standard Model
Effective Field Theories
Technicolor and Composite Models
url http://link.springer.com/article/10.1007/JHEP11(2018)169
work_keys_str_mv AT joedavighi topologicaltermsincompositehiggsmodels
AT bengripaios topologicaltermsincompositehiggsmodels