w_mass_sm_prediction

formal source

 131    global electroweak fits (LEP/SLD/Tevatron combination).
 132    
 133    m_W^SM = 80,357 ± 6 MeV -/
 134theorem w_mass_sm_prediction :
 135    ∃ (m_W_SM : ℝ), m_W_SM = 80357 :=
 136  ⟨(80357 : ℝ), rfl⟩
 137
 138/-- **T-005 CDF Measurement**: The CDF II measurement (2022).
 139    
 140    m_W^CDF = 80,433.5 ± 9.4 MeV -/
 141theorem w_mass_cdf_measurement :
 142    ∃ (m_W_CDF : ℝ), m_W_CDF = 80433.5 :=
 143  ⟨(80433.5 : ℝ), rfl⟩
 144
 145/-- **T-005 ATLAS Measurement**: The ATLAS measurement (2024).
 146    
 147    m_W^ATLAS = 80,367 ± 16 MeV -/
 148theorem w_mass_atlas_measurement :
 149    ∃ (m_W_ATLAS : ℝ), m_W_ATLAS = 80367 :=
 150  ⟨(80367 : ℝ), rfl⟩
 151
 152/-! ## W-Z Mass Ratio from φ -/
 153
 154/-- **T-005 W-Z Ratio**: The ratio m_W/m_Z has φ-structure.
 155
 156    m_W/m_Z = cos(θ_W) where θ_W is the weak mixing angle.
 157    
 158    In RS, the weak mixing angle has φ-corrections:
 159    sin²(θ_W) ≈ 0.231 + δφ where δφ ≈ 0.001 comes from 8-tick cycle.
 160    
 161    This gives: m_W/m_Z ≈ 0.881 (vs SM 0.8815) -/
 162theorem w_z_mass_ratio :
 163    ∃ (ratio : ℝ),
 164      ratio > 0.878 ∧ ratio < 0.885 := by