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Toward minimal composite Higgs models from regular geometries in bottom-up holography
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Ali Fatemiabhari,
Maurizio Piai
Physical Review D, Volume: 107, Issue: 11
Swansea University Authors:
Ali Fatemiabhari, Maurizio Piai
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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...
| Published in: | Physical Review D |
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| ISSN: | 2470-0010 2470-0029 |
| Published: |
American Physical Society (APS)
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa63349 |
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| 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 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. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
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. |
| Issue: |
11 |