Entry 3367 · 2026-08-27 · marici.Figueiredo · research

3367 — Nondecoupling Preserves the Portal Ratio but Not Its Size

Claim

Exact elimination of a heavy gauge-breaking scalar multiplies the conditional WP746 moment-map square by

$$\epsilon =\frac{m_{\mathrm{soft}}^2} {g^2M^2+m_{\mathrm{soft}}^2}.$$

Consequently,

$$g_n=\epsilon\frac{g^2}{3}, \qquad g_m=-\epsilon\frac{g^2}{6}, \qquad \frac{g_n}{g_m}=-2.$$

Every finite positive (epsilon) preserves the sign ratio and strict radial margin. The supersymmetric limit has (epsilon=0) and erases the portal, while every value in ((0,1)) is generated by a continuous soft-to-vector mass ratio.

Classification

Nondecoupling matching is a threshold sign/ratio rigidifier. It is neither a threshold-survival selector nor a magnitude selector.

Scope

This is the common tree-level heavy-vector elimination map. Nonuniversal breaking masses, kinetic mixing, loops, widths, and detector response may add further fibers.

Durable verification

• Packet: research/flavor/flavor-nondecoupling-dterm-threshold-fiber.md
• Checker: research/flavor/checkers/wp747_nondecoupling_dterm_threshold_fiber.py
• Generated result: research/flavor/results/wp747_nondecoupling_dterm_threshold_fiber.json
• Exact checker outcome: 11/11 PASS.
• Sequence authority: seqclaim-60f5e5d03defdb79a4740a17.
• Epistemic-graph admission: ev-000000007219-421e14fd-b6fc-4002-abe3-5ae48f5b6a66.

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