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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2506.16693 |
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| _version_ | 1866912442227884032 |
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| author | Benavides, Richard H. Giraldo, Yithsbey Rojas, Eduardo |
| author_facet | Benavides, Richard H. Giraldo, Yithsbey Rojas, Eduardo |
| contents | We explore the recently proposed gauge symmetry \( SU(3)_C \otimes SU(3)_L \otimes SU(3)_R \otimes U(1)_X \), which naturally embeds both the Left-Right symmetric model and the 3-3-1 model as subgroups. Within this unified framework, we propose four families of leptons and quarks. A detailed analysis of their contributions to gauge anomaly cancellation is carried out for a general value of the parameter $β$.
From this analysis, eight non-universal anomaly-free three-family models and four non-universal two-family anomaly free sets were identified. The three-family models offer realistic extensions of the Standard Model, retaining several appealing features of the 3-3-1 models, while the two-family sets provide flexibility for constructing models with even numbers of families. We also report LHC bounds on the $Z'$ mass for the particular case $β= -1/\sqrt{3}$, considering all possible combinations of lepton and quark families. These limits exhibit a strong dependence on the mixing parameter $θ$, which enters the couplings of Standard Model fermions to the $Z'$ boson. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16693 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Universal Flipped Trinification Models with Arbitrary $β$ Benavides, Richard H. Giraldo, Yithsbey Rojas, Eduardo High Energy Physics - Phenomenology We explore the recently proposed gauge symmetry \( SU(3)_C \otimes SU(3)_L \otimes SU(3)_R \otimes U(1)_X \), which naturally embeds both the Left-Right symmetric model and the 3-3-1 model as subgroups. Within this unified framework, we propose four families of leptons and quarks. A detailed analysis of their contributions to gauge anomaly cancellation is carried out for a general value of the parameter $β$. From this analysis, eight non-universal anomaly-free three-family models and four non-universal two-family anomaly free sets were identified. The three-family models offer realistic extensions of the Standard Model, retaining several appealing features of the 3-3-1 models, while the two-family sets provide flexibility for constructing models with even numbers of families. We also report LHC bounds on the $Z'$ mass for the particular case $β= -1/\sqrt{3}$, considering all possible combinations of lepton and quark families. These limits exhibit a strong dependence on the mixing parameter $θ$, which enters the couplings of Standard Model fermions to the $Z'$ boson. |
| title | Non-Universal Flipped Trinification Models with Arbitrary $β$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.16693 |