Simplifying 5point tensor reduction
Abstract
The 5point tensors have the property that after insertion of the metric tensor $g^{\mu \nu}$ in terms of external momenta, all $g^{\mu \nu}$contributions in the tensor decomposition cancel. If furthermore the tensors are contracted with external momenta, the inverse 5point Gram determinant $()_5$ cancels automatically. If the remaining 4point subGram determinant ${s\choose s}_5$ is not small then this approach appears to be particularly efficient in numerical calculations. We also indicate how to deal with small ${s\choose s}_5$. Explicit formulae for tensors of degree 2 and 3 are given for large and small (sub) Gram determinants.
 Publication:

arXiv eprints
 Pub Date:
 November 2011
 arXiv:
 arXiv:1111.4153
 Bibcode:
 2011arXiv1111.4153F
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 8 pages, Talk presented at XXXV International Conference of Theoretical Physics Matter to the Deepest: Recent Developments in Physics of Fundamental Interactions, Ustron'11