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- W4387432142 abstract "The $W$ boson mass $m_W$ in the GUT inspired $SO(5) times U(1) times SU(3)$ gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay $mu^- rightarrow e^- bar{nu}_e nu_mu$ proceeds by the exchange of not only the zero mode of the $W$ boson $(W^{(0)}$) but also Kaluza-Klein (KK) excited modes $W^{(n)}$ and $W_R^{(n)}$ ($n ge 1$) at the tree level. The anti-de Sitter curvature of the RS space also affects the relationship among the gauge couplings and the ratio of $m_W$ to the $Z$ boson mass $m_Z$. The $W$ couplings of leptons and quarks also change. With the given KK mass scale $m_{rm KK}$ the range of the Aharonov-Bohm phase $theta_H$ in the fifth dimension is constrained. For $m_{rm KK} = 13,$TeV, $0.085 lesssim theta_H lesssim 0.11$ and $80.381,{rm GeV} lesssim m_W lesssim 80.407,{rm GeV}$. The predicted value of $m_W$ for $13, {rm TeV} le m_{rm KK} le 20, {rm TeV}$ lies between $m_W^{rm SM} = 80.354 pm 0.007,$GeV in the standard model and $m_W^{rm CDF} = 80.4335 pm 0.0094,$GeV, the value reported by the CDF collaboration in 2022." @default.
- W4387432142 created "2023-10-09" @default.
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- W4387432142 date "2023-10-04" @default.
- W4387432142 modified "2023-10-09" @default.
- W4387432142 title "$W$ boson mass in gauge-Higgs unification" @default.
- W4387432142 doi "https://doi.org/10.48550/arxiv.2310.03276" @default.
- W4387432142 hasPublicationYear "2023" @default.
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