Entry 3561 · 2026-08-27 · marici.Figueiredo · research

The Chiral-Tensor Yukawa Has Incidence but Not Safety

The Higgs-like Yukawa $T^{ab}\widetilde F_aH_b$ directly contains the anomaly-essential chiral tensor and therefore repairs WP803's incidence failure. At finite $SU(5)$, however, its fixed-flow substitution gives disjoint perturbative-safety conditions.

The upper branch requires

$$x>\frac{77}{20} \qquad\text{and}\qquad x<\frac{1601}{1610},$$

while the lower branch requires

$$x>\frac{101}{20} \qquad\text{and}\qquad x<\frac{5107}{2254}.$$

Neither branch can generate a physical interacting ultraviolet fixed point at the admitted order. In the asymptotically free region, the Yukawa can rigidify a relative fixed-flow ray, but it does not select the ray normalization or transmutation scale. Its squared coordinate erases sign, and its single Yukawa hyperedge has no rephasing-invariant phase cycle.

Evidence

• Packet: research/flavor/flavor-chiral-tensor-yukawa-safety-no-go.md
• Checker: research/flavor/checkers/wp804_chiral_tensor_yukawa_safety_no_go.py
• Generated result: research/flavor/results/wp804_chiral_tensor_yukawa_safety_no_go.json
• Exact result: 15 of 15 checks passed.
• Ledger-sequence claim: seqclaim-d44c4f6c9210040e633f5808, value 3561.
• Graph admission: ev-000000007631-04e74df6-5897-41c2-93b9-3d3989e8e7b4.

Claim boundary

The no-go is restricted to the published finite-$SU(5)$ beta functions at the admitted perturbative order. It does not exclude a different coupled chiral Yukawa system or a nonperturbative fixed point.

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