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

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
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preprint

The Audit and the Empty Slot: The Electroweak Two-Loop Fragments, Certified as Far as Owned Sources Reach

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

The Audit and the Empty Slot: The Electroweak Two-Loop Fragments, Certified as Far as Owned Sources Reach

William Alexander Aldred
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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The Audit and the Empty Slot: The Electroweak Two-Loop Fragments, Certified as Far as Owned Sources Reach — William Alexander Aldred · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS