W boson mass in gauge-Higgs unification

AbstraktAbstract

The W boson mass mW in the grand unified theory inspired SO(5) × U(1) × SU(3) gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay μ^− → e^−\bar{ν}_e ν_μ 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^{(n)}_R (n ≥ 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_{KK} the range of the Aharonov-Bohm phase θ_H in the fifth dimension is constrained. For m_{KK} =13 TeV, 0.085 ≲ θ_H ≲ 0.11 and 80.381 ≲ m_W ≲ 80.407 GeV. The predicted value of m_W for 13 ≤ m_{KK} ≤ 20 TeV lies between m^{SM}_W = 80.354 \pm 0.007 GeV in the standard model and m^{CDF}_W = 80.4335 \pm 0.0094 GeV, the value reported by the CDF Collaboration in 2022.

The W boson mass mW in the grand unified theory inspired SO(5) × U(1) × SU(3) gauge-Higgs unification in the Randall-Sundrum (RS) warped space is evaluated. The muon decay μ^− → e^−\bar{ν}_e ν_μ 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^{(n)}_R (n ≥ 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_{KK} the range of the Aharonov-Bohm phase θ_H in the fifth dimension is constrained. For m_{KK} =13 TeV, 0.085 ≲ θ_H ≲ 0.11 and 80.381 ≲ m_W ≲ 80.407 GeV. The predicted value of m_W for 13 ≤ m_{KK} ≤ 20 TeV lies between m^{SM}_W = 80.354 \pm 0.007 GeV in the standard model and m^{CDF}_W = 80.4335 \pm 0.0094 GeV, the value reported by the CDF Collaboration in 2022.