A Mathematica package that allows computing the cLTD expression using FROM.
- Supports general expression with arbitrary numerators.
- Support of multi-core using
tform
with the number of cores specified with theFORMcores
option. - Allows optimizing the run for when no numerator is present through the
NoNumerator
option. - Allows the generation of the standard LTD expression with the
stdLTD
option.
The proof and implementation of the algorithm can be found in the at Manifestly Causal Loop-Tree Duality.
NEW
The package also offers to generate the cLTD expression directly from a Mathematica directed graph.
- The Graph representation can then by used to generate the (c)LTD expression with
GeneratecLTDExpression
with options similar tocLTD
and can be seen usingSetOptions[GeneratecLTDExpression]
- Different LTD representation whose E-surface denominator all correspond to cross-free families of subsets of the graph vertices by calling
CrossFreeFamilyLTD
from the same graph representation
The reference Threshold singularity structure of Feynman diagrams from triangulations of convex cones will appear soon.
More details on the usage can be found in the README file.