# LIB2-250 — Withdrawn Schur-only proof of vanishing triplet masses

- class: RETIRED · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status None · attachment None · scorecard tier word none (PDF p.None)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The earlier proof sketch inferred vanishing triplet entries at every loop order from Schur block structure alone.

## Caution

The withdrawn proof does not remove Schur block structure or independently overturn the reported numerical zeros.

## Primary source

Appendix A, §A.7, Schur gauge-protection withdrawal, PDF p.151: "the previous version of this sketch concluded “zero entries for all triplet components at every loop order” from the block structure; that inference is withdrawn — Schur permits a nonzero scalar on each triplet block,"

## Machine

- url: /library-v2/LIB2-250/
- content_sha256: 249e831e3eccfdb901a251c4ad539e8ed57f7a78cf7f6d6ba444c4929862e9a8
- candidate_ids: C2-114

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP