# Efficient contraction of 1-loop N-point tensor integrals

```@article{Fleischer2012EfficientCO,
title={Efficient contraction of 1-loop N-point tensor integrals},
author={J. Fleischer and J. Gluza and M. Gluza and T. Riemann and R. Sevillano},
journal={arXiv: High Energy Physics - Phenomenology},
year={2012}
}```
A new approach for the reduction of tensor integrals is described. The standard decomposition \`{a} la Davydychev is applied. Integrals with higher indices are then expressed in terms of scalar higher-dimensional integrals with generic indices. The approach allows to perform contractions with external momenta in a particularly efficient manner. This is due to the possibility to perform analytically the resulting sums over the indices of products of signed minors and scalar products of chords… Expand
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