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Holography for Sp(2Nc) gauge dynamics: from composite Higgs to technicolour

Holography for Sp(2Nc) gauge dynamics: from composite Higgs to technicolour
Holography for Sp(2Nc) gauge dynamics: from composite Higgs to technicolour
We study Sp(2Nc) gauge dynamics with two Dirac fermion flavours in the fundamental representation. These strongly coupled systems underlie some composite Higgs models with a global symmetry breaking pattern SU(4)→Sp(4), leading to a light quartet of pseudo-Goldstone bosons that can play the role of the Higgs. Including four-fermion interactions can rotate the vacuum to a technicolour breaking pattern. Using gauge/gravity duality, we study the underlying gauge dynamics. Our model incorporates the Nc-specific running of the fermion anomalous dimension and can thus distinguish between specific gauge groups. We determine the bound-state spectrum of the UV SU(4)→Sp(4) symmetry breaking model, also including fermion masses and mass splitting, and display the Nc dependence. The inclusion of a four-fermion interaction shows the emergence of three Goldstone bosons on the path to technicolour dynamics.
hep-ph, hep-th
arXiv
Erdmenger, Johanna
a6829342-7960-44ea-b502-fe531cde3f33
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Liu, Yang
3c582180-283b-49ca-a6f4-b7891bdbc6ef
Porod, Werner
9b4fd032-fd01-49c0-9c87-8052ebc813b5
Erdmenger, Johanna
a6829342-7960-44ea-b502-fe531cde3f33
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Liu, Yang
3c582180-283b-49ca-a6f4-b7891bdbc6ef
Porod, Werner
9b4fd032-fd01-49c0-9c87-8052ebc813b5

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Abstract

We study Sp(2Nc) gauge dynamics with two Dirac fermion flavours in the fundamental representation. These strongly coupled systems underlie some composite Higgs models with a global symmetry breaking pattern SU(4)→Sp(4), leading to a light quartet of pseudo-Goldstone bosons that can play the role of the Higgs. Including four-fermion interactions can rotate the vacuum to a technicolour breaking pattern. Using gauge/gravity duality, we study the underlying gauge dynamics. Our model incorporates the Nc-specific running of the fermion anomalous dimension and can thus distinguish between specific gauge groups. We determine the bound-state spectrum of the UV SU(4)→Sp(4) symmetry breaking model, also including fermion masses and mass splitting, and display the Nc dependence. The inclusion of a four-fermion interaction shows the emergence of three Goldstone bosons on the path to technicolour dynamics.

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2404.14480v2 - Author's Original
Available under License Other.
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Accepted/In Press date: 22 April 2024
Additional Information: 43 pages, 42 figures, 3 tables. v2 added new citations, 44 pages
Keywords: hep-ph, hep-th

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Local EPrints ID: 490032
URI: http://eprints.soton.ac.uk/id/eprint/490032
PURE UUID: fdbe9ed8-9593-4ea9-8969-e275bb4e2f55

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Date deposited: 14 May 2024 16:30
Last modified: 14 May 2024 16:30

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Contributors

Author: Johanna Erdmenger
Author: Nick Evans
Author: Yang Liu
Author: Werner Porod

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