# LIB2-111 — The loaded hypercharge projection gives the four Yukawa tensors

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.229)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The loaded U(1)Y Reynolds projection of the registered trilinear equals the four one-generation Yukawa tensors {Q uᶜ H, L νᶜ H, Q dᶜ Hᶜ, L eᶜ Hᶜ}.

## Caution

The projected tensor structure does not select the loaded hypercharge action or split the four coefficient values.

## Primary source

Appendix K, §1, Positive Yukawa statement, PDF p.238: "projects onto exactly the four SM Yukawa tensors {Q uc H, L ν c H, Q dc H c , L ec H c }, with a single democratic common normalization (1, 1, 1, 1)."

## Machine

- url: /library-v2/LIB2-111/
- content_sha256: f0d63fc168a17d9f90e3d97063cc4c7eeafb108fba1bde68e2f6ccb4ffb7319f
- candidate_ids: C2-053

## Freshness

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