pith. sign in
def

m_W_exp

definition
show as:
module
IndisputableMonolith.Masses.ElectroweakMasses
domain
Masses
line
40 · github
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plain-language theorem explainer

The declaration supplies the experimental W-boson mass 80369.2 as a fixed real constant inside the ElectroweakMasses module. Researchers comparing RS-derived m_W = m_Z cos θ_W against data cite this value for ratio checks. It is introduced by direct numerical assignment with no derivation or proof steps.

Claim. The experimental W-boson mass is the real number $m_W^exp = 80369.2$ (MeV).

background

The ElectroweakMasses module differentiates boson masses from the earlier r_boson placeholder. The Z boson sits at rung 1, so m_Z = 2 φ^51 / 10^6 MeV. The W mass is obtained from the gauge relation m_W = m_Z cos θ_W, where sin²θ_W = (3 − φ)/6 supplies the zero-parameter RS value for the Weinberg angle. This definition supplies the measured benchmark used for direct numerical comparison.

proof idea

One-line definition that directly assigns the constant 80369.2 to m_W_exp.

why it matters

It supplies the experimental input for the downstream wz_ratio_exp_comparison theorem, which checks that (m_W_exp / m_Z_exp)^2 lies in (0.7765, 0.7775). The definition therefore closes the verification loop between the RS prediction m_W = m_Z cos θ_W and measured data inside the electroweak sector of the phi-ladder.

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