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...
Main Authors: | , |
---|---|
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 |
_version_ | 1818176952122474496 |
---|---|
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. |
first_indexed | 2024-12-11T20:24:21Z |
format | Article |
id | doaj.art-8bac01a242fa480badd843cf93efcedd |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-11T20:24:21Z |
publishDate | 2018-11-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |