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| Format: | Preprint |
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2023
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| Online Access: | https://arxiv.org/abs/2303.01298 |
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| _version_ | 1866910342408306688 |
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| author | Wang, Fei |
| author_facet | Wang, Fei |
| contents | We propose to partially unify the sequential $SU(3)_c\times SU(3)_L\times U(1)_X$ model (with $β=1/\sqrt{3}$) into the flipped $SU(6)$ model with the gauge group $SU(6)\times U(1)_K$. Gauge anomaly cancellation can easily be satisfied. We discuss the relevant Higgs sector, the low energy $331$ model spectrum and the unification of $SU(3)_c$ and $SU(3)_L$ gauge couplings. Neutrino masses generation and successful gauge coupling unification can set lower/upper bounds on the $331$ breaking scale. The partial proton decay lifetime of various channels, for example, the $p\to e^+ π^0$ channel, in flipped SU(6) GUT are discussed. We find that certain parameter region with $M_{331}\sim 10^{15}$ GeV of case II (for case with $M_{331}$ scale ${\bf \tilde{H}_{3,8}}$ Higgs field) can predict a partial proton lifetime of order $10^{34}$ years for $p\to e^+ π^0$ mode, which can be tested soon by future DUNE and Hyper-Kamiokande experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_01298 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Flipped SU(6) Unification of the $SU(3)_c\times SU(3)_L\times U(1)_X$ Model Wang, Fei High Energy Physics - Phenomenology We propose to partially unify the sequential $SU(3)_c\times SU(3)_L\times U(1)_X$ model (with $β=1/\sqrt{3}$) into the flipped $SU(6)$ model with the gauge group $SU(6)\times U(1)_K$. Gauge anomaly cancellation can easily be satisfied. We discuss the relevant Higgs sector, the low energy $331$ model spectrum and the unification of $SU(3)_c$ and $SU(3)_L$ gauge couplings. Neutrino masses generation and successful gauge coupling unification can set lower/upper bounds on the $331$ breaking scale. The partial proton decay lifetime of various channels, for example, the $p\to e^+ π^0$ channel, in flipped SU(6) GUT are discussed. We find that certain parameter region with $M_{331}\sim 10^{15}$ GeV of case II (for case with $M_{331}$ scale ${\bf \tilde{H}_{3,8}}$ Higgs field) can predict a partial proton lifetime of order $10^{34}$ years for $p\to e^+ π^0$ mode, which can be tested soon by future DUNE and Hyper-Kamiokande experiments. |
| title | Flipped SU(6) Unification of the $SU(3)_c\times SU(3)_L\times U(1)_X$ Model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2303.01298 |