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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2401.17613 |
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| _version_ | 1866912148588855296 |
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| author | Asai, Kento Miyao, Coh Okawa, Shohei Tsumura, Koji |
| author_facet | Asai, Kento Miyao, Coh Okawa, Shohei Tsumura, Koji |
| contents | It is known that the model based on U(1)$_{L_μ-L_τ}$ gauge symmetry can explain not only the discrepancy between the measured value of muon $g-2$ and the theoretical prediction, but also the structure of the neutrino mass and mixings. We revisit the analysis of the mass matrix structure in the minimal U(1)$_{L_μ-L_τ}$ models based on the latest experimental result, where the minimal stands for the symmetry breaking caused only by a single scalar field. We find that the model called type ${\bf 2}_{+1}$, where an SU(2)$_L$ doublet scalar $Φ_{+1}$ with the U(1)$_{L_μ- L_τ}$ charge $+1$ and the hypercharge $+1/2$, predicts the $\bf B_3$ texture and is marginally acceptable under the current neutrino oscillation data and cosmological observation. When the U(1)$_{L_μ- L_τ}$ gauge symmetry is broken by the vacuum expectation value of the standard model non-singlet representation such as $Φ_{+1}$, there are additional contributions to the flavor-changing meson decay process and atomic parity violation via the $Z-Z'$ mixing. We newly evaluate the model-dependent constraints on the model and conclude that the type ${\bf 2}_{+1}$ model is robustly ruled out. The model is extended to have an additional vacuum expectation value of a standard model singlet scalar in order to avoid the stringent constraint from the flavor-changing meson decay. Finally, we find the allowed range of the ratio of these vacuum expectation values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Constraints on Gauged U(1)$_{L_μ-L_τ}$ Models via $Z-Z'$ Mixing Asai, Kento Miyao, Coh Okawa, Shohei Tsumura, Koji High Energy Physics - Phenomenology It is known that the model based on U(1)$_{L_μ-L_τ}$ gauge symmetry can explain not only the discrepancy between the measured value of muon $g-2$ and the theoretical prediction, but also the structure of the neutrino mass and mixings. We revisit the analysis of the mass matrix structure in the minimal U(1)$_{L_μ-L_τ}$ models based on the latest experimental result, where the minimal stands for the symmetry breaking caused only by a single scalar field. We find that the model called type ${\bf 2}_{+1}$, where an SU(2)$_L$ doublet scalar $Φ_{+1}$ with the U(1)$_{L_μ- L_τ}$ charge $+1$ and the hypercharge $+1/2$, predicts the $\bf B_3$ texture and is marginally acceptable under the current neutrino oscillation data and cosmological observation. When the U(1)$_{L_μ- L_τ}$ gauge symmetry is broken by the vacuum expectation value of the standard model non-singlet representation such as $Φ_{+1}$, there are additional contributions to the flavor-changing meson decay process and atomic parity violation via the $Z-Z'$ mixing. We newly evaluate the model-dependent constraints on the model and conclude that the type ${\bf 2}_{+1}$ model is robustly ruled out. The model is extended to have an additional vacuum expectation value of a standard model singlet scalar in order to avoid the stringent constraint from the flavor-changing meson decay. Finally, we find the allowed range of the ratio of these vacuum expectation values. |
| title | New Constraints on Gauged U(1)$_{L_μ-L_τ}$ Models via $Z-Z'$ Mixing |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.17613 |