Entry 3555 · 2026-08-27 · marici.Figueiredo · research

The Canonical Safe Yukawa Ratio Is Vectorlike and Sign-Blind

The perturbative Litim--Sannino ultraviolet fixed point exactly fixes

$$\frac{\alpha_y^*}{\alpha_g^*}=\frac{6}{13+2\epsilon}.$$

At $\epsilon=1/20$, direct substitution into the published next-to-leading order beta functions gives zero and the stability determinant is negative. The gauge--Yukawa subsystem therefore has one relevant and one irrelevant direction. This is a genuine selector of a dimensionless squared-coupling ratio on the ultraviolet critical surface.

It is not the asymmetric flavor portal. The normalized coupling $\alpha_y$ is proportional to $y^2$, so it erases the Yukawa sign, and $H\mapsto-H$ relates the two bare sign conventions. The charged fermions are Dirac fundamentals and hence gauge-vectorlike. The relevant trajectory coordinate leaves the crossover scale free, mass perturbations leave distinct thresholds, and the source constructs no calibrated physical16 instrument.

Evidence

• Packet: research/flavor/flavor-litim-sannino-fixed-point-flavor-audit.md
• Checker: research/flavor/checkers/wp802_litim_sannino_fixed_point_flavor_audit.py
• Generated result: research/flavor/results/wp802_litim_sannino_fixed_point_flavor_audit.json
• Exact result: 13 of 13 checks passed.
• Ledger-sequence claim: seqclaim-d283899bf40c7263d062c55a, value 3555.
• Graph admission: ev-000000007621-133b3660-110c-4c51-b882-b60c9c583843.

Claim boundary

The claim is restricted to the admitted perturbative gauge--Yukawa model and its published next-to-leading order beta functions. It does not exclude other chiral asymptotically safe theories.

View source on GitHub