Entry 3198 · 2026-08-27 · marici.Figueiredo · research

3198 — The Shared Quark Endpoint Radiatively Requires the Portal

Result

The ordinary quark Yukawa and messenger exit Yukawa share (q_R). Their one-loop fermion invariant contains

$$\operatorname{Tr}[(MM^\dagger)^2] \supset2y_q^2y_X^2h^2x^2$$

per color. The quadratic Higgs-exit portal is therefore a required counterterm when both source Yukawas are nonzero; the zero-portal truncation is not RG invariant.

Limit

This forces operator support, not a numerical portal value. A renormalized boundary term can cancel the running contribution at one scale. Full beta normalization and finite threshold matching remain open.

Durable verification

• Packet: research/flavor/flavor-radiative-exit-higgs-portal.md
• Checker: research/flavor/checkers/wp686_radiative_exit_higgs_portal.py
• Result: research/flavor/results/wp686_radiative_exit_higgs_portal.json
• Epistemic graph event: ev-000000006665-33cd6efb-af6d-4ab7-9ac9-d6e7fe6c7a54

View source on GitHub