On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations

Abstract 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 H R + H ¯ R $$ {\overline{H}}_R $$ = (4, 1, 2) + ( 4 ¯ $$ \overline{4} $$ , 1, 2), H L + H ¯ L...

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Main Authors: George K. Leontaris, Ruiwen Ouyang, Ye-Ling Zhou
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP05(2025)179
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author George K. Leontaris
Ruiwen Ouyang
Ye-Ling Zhou
author_facet George K. Leontaris
Ruiwen Ouyang
Ye-Ling Zhou
author_sort George K. Leontaris
collection DOAJ
description Abstract 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 H R + H ¯ R $$ {\overline{H}}_R $$ = (4, 1, 2) + ( 4 ¯ $$ \overline{4} $$ , 1, 2), H L + H ¯ L $$ {\overline{H}}_L $$ = (4, 2, 1) + ( 4 ¯ $$ \overline{4} $$ , 2, 1) as well as a pair of bi-doublet fields h a = (1, 2, 2) where a = 1, 2, with three families of fermions accommodated in (4, 2, 1) + ( 4 ¯ $$ \overline{4} $$ , 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 ℤ n 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 ℤ 3 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.
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spelling doaj-art-db53432cde1743a2880a14d636d6b3ee2025-08-20T02:31:03ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025512810.1007/JHEP05(2025)179On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representationsGeorge K. Leontaris0Ruiwen Ouyang1Ye-Ling Zhou2Physics Department, University of IoanninaSchool of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCASSchool of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCASAbstract 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 H R + H ¯ R $$ {\overline{H}}_R $$ = (4, 1, 2) + ( 4 ¯ $$ \overline{4} $$ , 1, 2), H L + H ¯ L $$ {\overline{H}}_L $$ = (4, 2, 1) + ( 4 ¯ $$ \overline{4} $$ , 2, 1) as well as a pair of bi-doublet fields h a = (1, 2, 2) where a = 1, 2, with three families of fermions accommodated in (4, 2, 1) + ( 4 ¯ $$ \overline{4} $$ , 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 ℤ n 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 ℤ 3 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.https://doi.org/10.1007/JHEP05(2025)179Grand UnificationLeft-Right ModelsBaryon/Lepton Number ViolationSupersymmetry
spellingShingle George K. Leontaris
Ruiwen Ouyang
Ye-Ling Zhou
On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
Journal of High Energy Physics
Grand Unification
Left-Right Models
Baryon/Lepton Number Violation
Supersymmetry
title On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
title_full On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
title_fullStr On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
title_full_unstemmed On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
title_short On the phenomenological implications of a Pati-Salam model spontaneously broken by Higgs fields in fundamental representations
title_sort on the phenomenological implications of a pati salam model spontaneously broken by higgs fields in fundamental representations
topic Grand Unification
Left-Right Models
Baryon/Lepton Number Violation
Supersymmetry
url https://doi.org/10.1007/JHEP05(2025)179
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