Gegenbauer Goldstones
Abstract We investigate radiatively stable classes of pseudo-Nambu-Goldstone boson (pNGB) potentials for approximate spontaneously broken SO(N + 1) → SO(N). Using both the one-loop effective action and symmetry, it is shown that a Gegenbauer polynomial potential is radiatively stable, being effectiv...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2022)076 |
| _version_ | 1819261483639373824 |
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| author | Gauthier Durieux Matthew McCullough Ennio Salvioni |
| author_facet | Gauthier Durieux Matthew McCullough Ennio Salvioni |
| author_sort | Gauthier Durieux |
| collection | DOAJ |
| description | Abstract We investigate radiatively stable classes of pseudo-Nambu-Goldstone boson (pNGB) potentials for approximate spontaneously broken SO(N + 1) → SO(N). Using both the one-loop effective action and symmetry, it is shown that a Gegenbauer polynomial potential is radiatively stable, being effectively an ‘eigenfunction’ from a radiative perspective. In Gegenbauer pNGB models, one naturally and automatically obtains v ∝ f/n, where n ∈ 2ℤ is the order of the Gegenbauer polynomial. For a Gegenbauer Higgs boson, this breaks the usual correlation between Higgs coupling corrections and ‘v/f’ tuning. Based on this, we argue that to conclusively determine whether or not the Higgs is a composite pNGB in scenarios with up to O $$ \mathcal{O} $$ (10%) fine-tuning will require going beyond both the Higgs coupling precision and heavy resonance mass reach of the High-Luminosity LHC. |
| first_indexed | 2024-12-23T19:42:31Z |
| format | Article |
| id | doaj.art-e91fd46c13f24c63846126441dc9f007 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T19:42:31Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e91fd46c13f24c63846126441dc9f0072022-12-21T17:33:38ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022111910.1007/JHEP01(2022)076Gegenbauer GoldstonesGauthier Durieux0Matthew McCullough1Ennio Salvioni2Theoretical Physics Department, CERNTheoretical Physics Department, CERNTheoretical Physics Department, CERNAbstract We investigate radiatively stable classes of pseudo-Nambu-Goldstone boson (pNGB) potentials for approximate spontaneously broken SO(N + 1) → SO(N). Using both the one-loop effective action and symmetry, it is shown that a Gegenbauer polynomial potential is radiatively stable, being effectively an ‘eigenfunction’ from a radiative perspective. In Gegenbauer pNGB models, one naturally and automatically obtains v ∝ f/n, where n ∈ 2ℤ is the order of the Gegenbauer polynomial. For a Gegenbauer Higgs boson, this breaks the usual correlation between Higgs coupling corrections and ‘v/f’ tuning. Based on this, we argue that to conclusively determine whether or not the Higgs is a composite pNGB in scenarios with up to O $$ \mathcal{O} $$ (10%) fine-tuning will require going beyond both the Higgs coupling precision and heavy resonance mass reach of the High-Luminosity LHC.https://doi.org/10.1007/JHEP01(2022)076Beyond Standard ModelGlobal SymmetriesTechnicolor and Composite Models |
| spellingShingle | Gauthier Durieux Matthew McCullough Ennio Salvioni Gegenbauer Goldstones Journal of High Energy Physics Beyond Standard Model Global Symmetries Technicolor and Composite Models |
| title | Gegenbauer Goldstones |
| title_full | Gegenbauer Goldstones |
| title_fullStr | Gegenbauer Goldstones |
| title_full_unstemmed | Gegenbauer Goldstones |
| title_short | Gegenbauer Goldstones |
| title_sort | gegenbauer goldstones |
| topic | Beyond Standard Model Global Symmetries Technicolor and Composite Models |
| url | https://doi.org/10.1007/JHEP01(2022)076 |
| work_keys_str_mv | AT gauthierdurieux gegenbauergoldstones AT matthewmccullough gegenbauergoldstones AT enniosalvioni gegenbauergoldstones |