Manuscript II-B@1 · II-B-v1.tex · section · bfd2eb3c

Derivation of the reference value

Complete contacts and the exact three-row certificate › Derivation of the reference value · lines 970–998

II-B@1#eq:target-value

At $β_{+}$ and $β_{-}$ , temporal entries of the physical tensors vanish, so

R_{12} = - A, R_{13} = B, R_{14} = B .

Equation (eq:ABB) gives

W_{2} = - 6, W_{3} = W_{4} = 2.

At $d_{*}$ , the species channel factors are $(D_{s}, D_{t}, D_{u}) = (0, 1, 1)$ . Therefore

m (β_{+}) = m (β_{-}) = \frac{- 2 ( - 6 ) + 2 + 2}{3} = \frac{16}{3} .

This also checks the tree signs: the quartic longitudinal response is $2$ , the pre-minus-sign exchange contractions are $(6, - 2, - 2)$ , and

\frac{2}{3} (2) - (0 \cdot 6 - 2 - 2) = \frac{16}{3} .

Displayed formulas in this passage

II-B@1#eq:target-value · line 985
$m (β_{+}) = m (β_{-}) = \frac{- 2 ( - 6 ) + 2 + 2}{3} = \frac{16}{3} .$
unlabeled · line 974
$R_{12} = - A, R_{13} = B, R_{14} = B .$
unlabeled · line 980
$W_{2} = - 6, W_{3} = W_{4} = 2.$
unlabeled · line 995
$\frac{2}{3} (2) - (0 \cdot 6 - 2 - 2) = \frac{16}{3} .$