The Audit and the Empty Slot: The Electroweak Two-Loop Fragments, Certified as Far as Owned Sources Reach
AF-31 exhausted the certifiable remainder of AF-30's class and charged this run to the next certifiable class: the electroweak two-loop terms' certified fragments, at the line's standing standard — a computable correction is computed, not estimated. The bench is AF-31's (itself AF-25's verified machinery), ported verbatim; its calibration block reproduces V0, V3, V6 digit for digit, and its inherited blocks re-print AF-31's variant-9 result under the point-probe convention before the new blocks are read (V6 probe 47.785/38.301/28.412; V9 − V6 = −0.0000/−0.0001/−0.0000). The audit (§1) takes the two-loop matrix B_SM — the bench's spine since AF-10, and itself the electroweak two-loop class's main body — and accounts for every entry: b₁₁ = 1.266667 fermion + 2.713333 remainder; b₁₂ = 0.900000 + 1.800000; b₂₁ = 0.300000 + 0.600000; b₂₂ = 1.500000 + 4.333333; the third-generation quark shares recomputed from the charge table by the independent GEN_SHARE route agree with AF-25's decomposition at every entry (0.360526; 0.550000 ×3), and the top/bottom flavour shares sum exactly to the generation shares — the split AF-31 integrated is a partition, not an addition. The remainders are labelled what they are: carried from AF-25's declared decomposition, printed at full size, not performed as re-derived. The λ control (§2): in the Machacek–Vaughn structure the bench declares, λ enters the gauge running at three loops, not two — variant 10 writes the slot into the matrix as the zero it structurally is and integrates it: V10 at E_ind = 47.785/38.301/28.412, shifts against V9 of +0.0000/+0.0000/+0.0000, crossing movements 0.0000 dex — no λ term is hiding in, or missing from, the two-loop electroweak matrix at this bench's declared structure. §3 then prints the uncertified remainder unchanged, and discharges this run's F-U3′ instruction in one paragraph: the full-class execution is not runnable from the fragments certified here, because an audit of integrated entries and a certified zero supply none of the missing entries; F-U3′ remains armed, its kill zone bounded shut.
Authors
- William Alexander Aldred
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-06
- DOI
- https://doi.org/10.5281/zenodo.24026955
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- preprint