FCLoopBasisCreateScalarProducts {q1, q2, ...}, {p1, p2, ...}, {d1, d2, ...}, head]
generates a list of all loop-momentum dependent scalar products made out of the loop momenta q1, q2, ...
and external momenta p1, p2, ...
in the space-time dimensions d1, d2, ...
. The argument head
can be Pair
to generate Lorentzian scalar products or CartesianPair
to generate Cartesian scalar products.
[{l}, {}, {D}, Pair] FCLoopBasisCreateScalarProducts
\left\{l^2\right\}
[{l}, {p1, p2}, {4}, Pair] FCLoopBasisCreateScalarProducts
\left\{\overline{l}^2,\overline{l}\cdot \overline{\text{p1}},\overline{l}\cdot \overline{\text{p2}}\right\}
[{l}, {}, {D - 1}, CartesianPair] FCLoopBasisCreateScalarProducts
\left\{l^2\right\}