Manuscript II@2 · II.tex · section · 50d64def

Rational family

The three labels and the reference value › Rational family · lines 1075–1111

II@2#eq:momenta, II@2#eq:AB

Use upper-index momenta

k_{1} k_{3} = (1, 0, 0, 1), = (- 1, - 1, 0, 0), k_{2} k_{4} = (1, 0, 0, - 1), = (- 1, 1, 0, 0),

and covariant tensors

A = diag (0, 1, - 1, 0), B = diag (0, 0, - 1, 1) .

The physical tensors on legs $2, 3, 4$ are $A, B, B$ . Their references are all $t_{0} = (1, 0, 0, 0)$ . Leg one is replaced.

Label	Species	$ξ_{1}$	Physical tensors
$β_{0}$	$1122$	$(0, 1, 0, 0)$	$A, B, B$
$β_{+}$	$1122$	$(1, 0, 0, 0)$	$A, B, B$
$β_{-}$	$2211$	$(1, 0, 0, 0)$	$A, B, B$

The row order is

S = (β_{0}, β_{+}, β_{-}) .

Displayed formulas in this passage

II@2#eq:momenta · line 1078
$k_{1} k_{3} = (1, 0, 0, 1), = (- 1, - 1, 0, 0), k_{2} k_{4} = (1, 0, 0, - 1), = (- 1, 1, 0, 0),$
II@2#eq:AB · line 1088
$A = diag (0, 1, - 1, 0), B = diag (0, 0, - 1, 1) .$
unlabeled · line 1108
$S = (β_{0}, β_{+}, β_{-}) .$