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Toward minimal composite Higgs models from regular geometries in bottom-up holography

Daniel Elander Orcid Logo, Ali Fatemiabhari, Maurizio Piai Orcid Logo

Physical Review D, Volume: 107, Issue: 11

Swansea University Authors: Ali Fatemiabhari, Maurizio Piai Orcid Logo

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DOI (Published version): 10.1103/physrevd.107.115021

Abstract

We study a bottom-up, holographic description of a field theory yielding the spontaneous break- ing of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, six- dimensional gravity dual has regular geometry. One of the dimensions is compactified on a circle that shrinks sm...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS)
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URI: https://cronfa.swan.ac.uk/Record/cronfa63349
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spelling v2 63349 2023-05-05 Toward minimal composite Higgs models from regular geometries in bottom-up holography 1fff8a27c5649675cda6e190dc0c74c3 Ali Fatemiabhari Ali Fatemiabhari true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2023-05-05 FGSEN We study a bottom-up, holographic description of a field theory yielding the spontaneous break- ing of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, six- dimensional gravity dual has regular geometry. One of the dimensions is compactified on a circle that shrinks smoothly to zero size at a finite value of the holographic direction, hence introducing a physical scale in a way that mimics the effect of confinement in the dual four-dimensional field theory. We study the spectrum of small fluctuations of the bulk fields carrying SO(5) quantum numbers, which can be interpreted as spin-0 and spin-1 bound states in the dual field theory. This work supplements an earlier publication, focused only on the SO(5) singlet states. We explore the parameter space of the theory, paying particular attention to composite states that have the right quantum numbers to be identified as pseudo-Nambu-Goldstone Bosons (PNGBs).We find that in this model the PNGBs are generally heavy, with masses of the same order as other bound states, indicating the presence of a sizeable amount of explicit symmetry breaking in the field theory side. But we also find a qualitatively new, unexpected result. When the dimension of the field-theory operator inducing SO(5) breaking is close to half of the space-time dimensionality, there exists a region of parameter space in which the PNGBs and the lightest scalar are both parametrically light in comparison to all other bound states of the field theory. Although this region is known to yield metastable classical backgrounds, this finding might be relevant to model building in the composite Higgs context. Journal Article Physical Review D 107 11 American Physical Society (APS) 2470-0010 2470-0029 0 0 0 0001-01-01 10.1103/physrevd.107.115021 http://dx.doi.org/10.1103/physrevd.107.115021 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University Other The work of AF has been supported by the STFC Consolidated Grant No. ST/V507143/1. The work of MP has been supported in part by the STFC Consolidated Grants No. ST/P00055X/1 and No. ST/T000813/1. MP received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. 2023-07-11T13:55:14.5031206 2023-05-05T08:31:42.1130041 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Daniel Elander 0000-0001-6348-8021 1 Ali Fatemiabhari 2 Maurizio Piai 0000-0002-2251-0111 3 63349__27904__b3b76cdb9c2145fea8ce44fa0400e905.pdf 63349.pdf 2023-06-21T10:22:14.0000072 Output 2743324 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. true eng https://creativecommons.org/licenses/by/4.0/ 194 Ali Fatemiabhari 0000-0003-1369-6505 2127756@swansea.ac.uk true https://zenodo.org/record/7705408 false
title Toward minimal composite Higgs models from regular geometries in bottom-up holography
spellingShingle Toward minimal composite Higgs models from regular geometries in bottom-up holography
Ali Fatemiabhari
Maurizio Piai
title_short Toward minimal composite Higgs models from regular geometries in bottom-up holography
title_full Toward minimal composite Higgs models from regular geometries in bottom-up holography
title_fullStr Toward minimal composite Higgs models from regular geometries in bottom-up holography
title_full_unstemmed Toward minimal composite Higgs models from regular geometries in bottom-up holography
title_sort Toward minimal composite Higgs models from regular geometries in bottom-up holography
author_id_str_mv 1fff8a27c5649675cda6e190dc0c74c3
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv 1fff8a27c5649675cda6e190dc0c74c3_***_Ali Fatemiabhari
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Ali Fatemiabhari
Maurizio Piai
author2 Daniel Elander
Ali Fatemiabhari
Maurizio Piai
format Journal article
container_title Physical Review D
container_volume 107
container_issue 11
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.107.115021
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://dx.doi.org/10.1103/physrevd.107.115021
document_store_str 1
active_str 0
description We study a bottom-up, holographic description of a field theory yielding the spontaneous break- ing of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, six- dimensional gravity dual has regular geometry. One of the dimensions is compactified on a circle that shrinks smoothly to zero size at a finite value of the holographic direction, hence introducing a physical scale in a way that mimics the effect of confinement in the dual four-dimensional field theory. We study the spectrum of small fluctuations of the bulk fields carrying SO(5) quantum numbers, which can be interpreted as spin-0 and spin-1 bound states in the dual field theory. This work supplements an earlier publication, focused only on the SO(5) singlet states. We explore the parameter space of the theory, paying particular attention to composite states that have the right quantum numbers to be identified as pseudo-Nambu-Goldstone Bosons (PNGBs).We find that in this model the PNGBs are generally heavy, with masses of the same order as other bound states, indicating the presence of a sizeable amount of explicit symmetry breaking in the field theory side. But we also find a qualitatively new, unexpected result. When the dimension of the field-theory operator inducing SO(5) breaking is close to half of the space-time dimensionality, there exists a region of parameter space in which the PNGBs and the lightest scalar are both parametrically light in comparison to all other bound states of the field theory. Although this region is known to yield metastable classical backgrounds, this finding might be relevant to model building in the composite Higgs context.
published_date 0001-01-01T13:55:10Z
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score 11.013148

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