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
2 Citations

References

SHOWING 1-10 OF 28 REFERENCES
Complete reduction of one-loop tensor 5- and 6-point integrals
  • 33
  • PDF
Calculating contracted tensor Feynman integrals
  • 11
  • PDF
Complete algebraic reduction of one-loop tensor Feynman integrals
  • 50
  • PDF
Algebraic reduction of one-loop Feynman graph amplitudes
  • 95
  • PDF
Connection between Feynman integrals having different values of the space-time dimension.
  • Tarasov
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1996
  • 354
  • PDF
New results for 5-point functions
  • 5
  • PDF
...
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2
3
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