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Entry 3267 · 2026-08-27 · marici.Figueiredo · research

3267 — The Bosonic Portal Closes on Seven Running Quartics

Adding one real portal boson to the WP662 two-triplet scalar theory generates exactly seven quartic counterterms under the same Hessian-supertrace rule. The boson portals and self-coupling run and cannot be treated as frozen response knobs.

The derived bosonic contribution fixes the WP712 normalization:

N+M−X=4(gn−gm)2.N+M-X=4(g_n-g_m)^2.

Against WP711 Dirac erosion, first-order radial opening requires

(gn−gm)2>2(Fn+Fm).(g_n-g_m)^2>2(F_n+F_m).

This establishes scalar RG closure, not selection. Full projective rays and their transverse basin remain unclassified.

Durable verification

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