Manuscript XVI-Q@Q11 · XVI-Q.tex · section · c7142b6c

Evaluation (Partial)

Q04: P.6 entry — one-loop κ 3 three-point sector (honest partial) › Evaluation (Partial) · lines 442–459

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Own UV-pole engine (code/q04/uvpole.py). It uses its own Feynman rules, symbolic opaque through qguard, and the DRED hat/tilde split (QdS momenta, Q4S vertex indices); MS-bar residues are taken only through dred.substitute_d. The UV pole is extracted by an exact Taylor (IR-rearranged) expansion. Validation: the engine's scalar bubble equals XVI-P's P18 D11 pole on all 14 structures, including the 8 evanescent ones. A vertex mutation breaks the agreement.

Evaluated: P6-G14 (scalar triangle) and P6-G15 (scalar bubble), the scalar-loop contributions to hhh, at the UV-pole level (exact residue; Bose symmetric). Matter Ward identity at three points: diffeomorphism invariance of the scalar-loop , i.e.\ the matter part of row , with the validated D11. The pole residue satisfies it exactly, including the evanescent structures. A wrong Lie-derivative sign and dropping the quadratic-vertex bubbles are both detected. The -dependent coefficient differs from zero by , which is finite and not evaluated.

Missing: 13 graphs, namely every graph with a graviton or ghost loop, V3/V4_grav, the ghost/antifield vertices or mixed lines (P6-G01..G13). Also Missing: their finite parts, the defect assembly, the counterterm solve and closure.