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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2409.13249 |
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| _version_ | 1866929623633231872 |
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| author | Huang, Fei Sun, Jin |
| author_facet | Huang, Fei Sun, Jin |
| contents | The $U(1)_{L_μ-L_τ}$ $Z'$ model has emerged as a promising candidate to address the longstanding muon $(g-2)_μ$ anomaly. Flavor-conserving $Z'$ interactions are subject to stringent constraints from the neutrino trident process and NA64$μ$ experiments, which limit the $Z'$ mass to $m_{Z'}<40$ MeV. To circumvent these constraints, flavor-conserving $Z'$ interactions can be converted into maximal flavor-violating interactions through a discrete exchange symmetry. Maximal flavor-violating $Z'$ interactions contribute to $τ\toμν\barν$ via the neutral current, yet the parameter space for this process conflicts with the $(g-2)_μ$ allowed regions. To resolve this conflict, we propose introducing a singly-charged scalar that mediates via charged current interactions. This scalar is anticipated to produce a negative contribution to the lepton $(g-2)_l$ while concurrently inducing the tau decay $τ\toμν\barν$. Three distinct scenarios arise from the introduction of singly-charged scalars: the $\mathcal{O}_{LL}$ operator, driven by weak singlet and triplet, and the $\mathcal{O}_{LR}$ operator, driven by weak doublet. Our analysis of the phenomenology in these three cases reveals that the tension between the muon $(g-2)_μ$ anomaly and $τ\toμν\barν$ for large $Z'$ masses can be effectively alleviated only by the singly-charged scalars from the weak triplet, whereas the singlet and doublet scenarios fall short. Furthermore, the singly-charged scalars from the weak triplet offer an additional explanation for the electron $(g-2)_e$ anomaly. Our findings indicate that weak triplets could play a crucial role in $Z'$ models, potentially providing valuable insights for future research into $U(1)$ frameworks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13249 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximal flavor violating $U(1)_{L_μ-L_τ}$ model with singly-charged scalar Huang, Fei Sun, Jin High Energy Physics - Phenomenology The $U(1)_{L_μ-L_τ}$ $Z'$ model has emerged as a promising candidate to address the longstanding muon $(g-2)_μ$ anomaly. Flavor-conserving $Z'$ interactions are subject to stringent constraints from the neutrino trident process and NA64$μ$ experiments, which limit the $Z'$ mass to $m_{Z'}<40$ MeV. To circumvent these constraints, flavor-conserving $Z'$ interactions can be converted into maximal flavor-violating interactions through a discrete exchange symmetry. Maximal flavor-violating $Z'$ interactions contribute to $τ\toμν\barν$ via the neutral current, yet the parameter space for this process conflicts with the $(g-2)_μ$ allowed regions. To resolve this conflict, we propose introducing a singly-charged scalar that mediates via charged current interactions. This scalar is anticipated to produce a negative contribution to the lepton $(g-2)_l$ while concurrently inducing the tau decay $τ\toμν\barν$. Three distinct scenarios arise from the introduction of singly-charged scalars: the $\mathcal{O}_{LL}$ operator, driven by weak singlet and triplet, and the $\mathcal{O}_{LR}$ operator, driven by weak doublet. Our analysis of the phenomenology in these three cases reveals that the tension between the muon $(g-2)_μ$ anomaly and $τ\toμν\barν$ for large $Z'$ masses can be effectively alleviated only by the singly-charged scalars from the weak triplet, whereas the singlet and doublet scenarios fall short. Furthermore, the singly-charged scalars from the weak triplet offer an additional explanation for the electron $(g-2)_e$ anomaly. Our findings indicate that weak triplets could play a crucial role in $Z'$ models, potentially providing valuable insights for future research into $U(1)$ frameworks. |
| title | Maximal flavor violating $U(1)_{L_μ-L_τ}$ model with singly-charged scalar |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.13249 |