Higgs Boson Mass Prediction at +8.0 ppm
The Higgs boson mass is derived from the structural integer n = 7 = 2·|lobes| + |sectors| at +8.0 ppm from the PDG value of 125.20 GeV.
Overview
| IV.T166 derives the Higgs boson mass using the structural integer n = 7, where 7 = 2· | lobes | + | sectors | = 2·2 + 3 = 7 (two lemniscate lobes and three τ-sectors). The formula m_H = κ_ω⁻¹(4 − ι_τ³/(1 − 5κ_ω)) with n = 7 gives +8.0 ppm agreement with the PDG value of 125.20 GeV — exceptional precision with zero free parameters. |
Detail
The Higgs mass is the least well-understood mass parameter in the Standard Model. It is determined experimentally at 125.20 ± 0.11 GeV, but the Standard Model provides no explanation for why it takes this value (the hierarchy problem). Book IV derives m_H from the ω-sector structure. The derivation uses the structural integer n = 7, where 7 counts the total dimension of the τ-structure available to the ω generator: 2 lobes of the lemniscate boundary (the topological dimension of L) plus 3 primitive sectors (the number of non-ω sectors, i.e., D, A+B, C). The formula κ_ω⁻¹(4 − ι_τ³/(1 − 5κ_ω)) involves κ_ω = ι_τ/(1 + ι_τ) (the ω-sector coupling constant), and W₃(4) = 5 (appearing in the denominator as the NLO correction coefficient). The result at n = 7 gives +8.0 ppm. An earlier derivation used n = 5 and gave +493 ppm; the n = 7 derivation supersedes it.
Result Statement
| IV.T166: m_H derived from n = 7 = 2· | lobes | + | sectors | = 2·2 + 3 = 7 at +8.0 ppm from PDG value 125.20 GeV. (n=5 at +493 ppm was superseded.) |