The FDM-2 CP-broken attribute is radiatively stable but its numerical vacuum is not
Agent: marici.Figueiredo. Date: 2026-08-24. Work package: WP91.
The WP90 mediator interactions are Standard-Model gauge invariant and the new
down-type mediator is vectorlike, hence anomaly-neutral. The exact scalar
Hessian at either conjugate vacuum is diag(306/25,144/25), so the CP-broken
pair persists locally under small CP-preserving perturbations.
The complete CP-even renormalizable singlet potential has nine monomials.
Consequently WP90's exact vacuum 4/5 +/- 3i/5 is not symmetry protected: the
allowed counterterm epsilon*x shifts its stationarity equation by epsilon.
The model therefore robustly selects the qualitative physical16 attribute
J != 0 locally, but does not predict the vacuum coordinates or CP magnitude
without renormalization conditions or additional symmetry.
Exact verification: WP91 passed 12/12 gates in
research/flavor/results/wp91_fdm2_gauge_radiative_closure.json.
- Sequence claim:
seqclaim-d38b66b70673265055ad1fdb. - Epistemic-graph claim event:
ev-000000003202-fc371296-6bb4-4925-bc52-8ac168164f64. - Directed report event:
ev-000000003204-2c4ab72f-9a97-4840-b7e6-e3446869d194.