{"title":"论基本表示中被希格斯场自发破坏的帕蒂-萨拉姆模型的现象学含义","authors":"George K. Leontaris, Ruiwen Ouyang, Ye-Ling Zhou","doi":"10.1007/JHEP05(2025)179","DOIUrl":null,"url":null,"abstract":"<p>We present a supersymmetric Pati-Salam model with small representations as a potential candidate for physics beyond the Standard Model. The model features a Higgs sector with bifundamental fields <i>H</i><sub><i>R</i></sub> + <span>\\( {\\overline{H}}_R \\)</span> = (4, 1, 2) + (<span>\\( \\overline{4} \\)</span>, 1, 2), <i>H</i><sub><i>L</i></sub> + <span>\\( {\\overline{H}}_L \\)</span> = (4, 2, 1) + (<span>\\( \\overline{4} \\)</span>, 2, 1) as well as a pair of bi-doublet fields <i>h</i><sub><i>a</i></sub> = (1, 2, 2) where <i>a</i> = 1, 2, with three families of fermions accommodated in (4, 2, 1) + (<span>\\( \\overline{4} \\)</span>, 1, 2) as usual. The matter spectrum is augmented with three copies of neutral singlets that mix with ordinary neutrinos to realize the seesaw mechanism. The model introduces supersymmetric R-symmetry and a global discrete <i>ℤ</i><sub><i>n</i></sub> symmetry (<i>n</i> > 2) that prevents disastrous superpotential couplings, while its spontaneous breaking implies the existence of domain walls that are successfully addressed. Interestingly, the one-loop beta coefficient of the SU(4)<sub><i>C</i></sub> gauge coupling is zero in the minimal <i>ℤ</i><sub>3</sub> model, rendering the corresponding gauge coupling near-conformal in the UV. Meanwhile, Landau poles are avoided up to the Planck scale and proton decay is suppressed, resulting in a proton lifetime beyond current experimental bounds. By virtue of the extended Higgs sector, the key advantage of this PS model is its ability to disentangle quark and lepton masses through higher-dimensional effective operators, addressing a common limitation in GUT models with small Higgs representations. This makes the model more economical and easier to be constructed from string theory, particularly in several heterotic and F-theory models where Higgses in the adjoint representation are absent.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 5","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP05(2025)179.pdf","citationCount":"0","resultStr":"{\"title\":\"On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations\",\"authors\":\"George K. Leontaris, Ruiwen Ouyang, Ye-Ling Zhou\",\"doi\":\"10.1007/JHEP05(2025)179\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We present a supersymmetric Pati-Salam model with small representations as a potential candidate for physics beyond the Standard Model. The model features a Higgs sector with bifundamental fields <i>H</i><sub><i>R</i></sub> + <span>\\\\( {\\\\overline{H}}_R \\\\)</span> = (4, 1, 2) + (<span>\\\\( \\\\overline{4} \\\\)</span>, 1, 2), <i>H</i><sub><i>L</i></sub> + <span>\\\\( {\\\\overline{H}}_L \\\\)</span> = (4, 2, 1) + (<span>\\\\( \\\\overline{4} \\\\)</span>, 2, 1) as well as a pair of bi-doublet fields <i>h</i><sub><i>a</i></sub> = (1, 2, 2) where <i>a</i> = 1, 2, with three families of fermions accommodated in (4, 2, 1) + (<span>\\\\( \\\\overline{4} \\\\)</span>, 1, 2) as usual. The matter spectrum is augmented with three copies of neutral singlets that mix with ordinary neutrinos to realize the seesaw mechanism. The model introduces supersymmetric R-symmetry and a global discrete <i>ℤ</i><sub><i>n</i></sub> symmetry (<i>n</i> > 2) that prevents disastrous superpotential couplings, while its spontaneous breaking implies the existence of domain walls that are successfully addressed. Interestingly, the one-loop beta coefficient of the SU(4)<sub><i>C</i></sub> gauge coupling is zero in the minimal <i>ℤ</i><sub>3</sub> model, rendering the corresponding gauge coupling near-conformal in the UV. Meanwhile, Landau poles are avoided up to the Planck scale and proton decay is suppressed, resulting in a proton lifetime beyond current experimental bounds. By virtue of the extended Higgs sector, the key advantage of this PS model is its ability to disentangle quark and lepton masses through higher-dimensional effective operators, addressing a common limitation in GUT models with small Higgs representations. This makes the model more economical and easier to be constructed from string theory, particularly in several heterotic and F-theory models where Higgses in the adjoint representation are absent.</p>\",\"PeriodicalId\":635,\"journal\":{\"name\":\"Journal of High Energy Physics\",\"volume\":\"2025 5\",\"pages\":\"\"},\"PeriodicalIF\":5.4000,\"publicationDate\":\"2025-05-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/JHEP05(2025)179.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of High Energy Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/JHEP05(2025)179\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP05(2025)179","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
We present a supersymmetric Pati-Salam model with small representations as a potential candidate for physics beyond the Standard Model. The model features a Higgs sector with bifundamental fields HR + \( {\overline{H}}_R \) = (4, 1, 2) + (\( \overline{4} \), 1, 2), HL + \( {\overline{H}}_L \) = (4, 2, 1) + (\( \overline{4} \), 2, 1) as well as a pair of bi-doublet fields ha = (1, 2, 2) where a = 1, 2, with three families of fermions accommodated in (4, 2, 1) + (\( \overline{4} \), 1, 2) as usual. The matter spectrum is augmented with three copies of neutral singlets that mix with ordinary neutrinos to realize the seesaw mechanism. The model introduces supersymmetric R-symmetry and a global discrete ℤn symmetry (n > 2) that prevents disastrous superpotential couplings, while its spontaneous breaking implies the existence of domain walls that are successfully addressed. Interestingly, the one-loop beta coefficient of the SU(4)C gauge coupling is zero in the minimal ℤ3 model, rendering the corresponding gauge coupling near-conformal in the UV. Meanwhile, Landau poles are avoided up to the Planck scale and proton decay is suppressed, resulting in a proton lifetime beyond current experimental bounds. By virtue of the extended Higgs sector, the key advantage of this PS model is its ability to disentangle quark and lepton masses through higher-dimensional effective operators, addressing a common limitation in GUT models with small Higgs representations. This makes the model more economical and easier to be constructed from string theory, particularly in several heterotic and F-theory models where Higgses in the adjoint representation are absent.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
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