Product-order bookkeeping

With one common amplitude parameter,

Consequently the first quantum contraction of two insertions through total $s^2$ is only

A single noncompact quadratic derivative can enter at total order $s^3$; two can enter at total order $s^4$. Coefficientwise products of the quadratic coefficients require their own domains.

The corrected total-order statement is XX-E's, not a result supplied by the earlier XX-D two-endpoint discussion.

Whenever two rods actually enter, the canonical constraint from XX-C is retained:

A domain preserving this nonzero canonical inverse-distance term cannot require both ordered two-rod covariances to be $O(r^{-2})$.

No two-endpoint covariance extension is proved by Theorem thm:weighted; its theorem concerns one Newton output with a controlled source. No two-rod Ward contribution is evaluated here.