Calculating contracted tensor Feynman integrals

Abstract

A recently derived approach to the tensor reduction of 5-point one-loop Feynman integrals expresses the tensor coefficients by scalar 1-point to 4-point Feynman integrals completely algebraically. In this letter we derive extremely compact algebraic expressions for the contractions of the tensor integrals with external momenta. This is based on sums over signed minors weighted with scalar products of the external momenta. With these contractions one can construct the invariant amplitudes of the matrix elements under consideration, and the evaluation of one-loop contributions to massless and massive multi-particle production at high energy colliders like LHC and ILC is expected to be performed very efficiently.

12 pages, version 2 is slightly extended, few typos corrected

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Cited by in corpus (8)

• Physics at the e+ e- Linear Collider
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• A solution for tensor reduction of one-loop N-point functions with N >= 6
• One-loop tensor Feynman integral reduction with signed minors
• Tensor Reduction for Feynman Integrals with Lorentz and Spinor Indices
• OPITeR: A program for tensor reduction of multi-loop Feynman Integrals
• New developments in PJFry
• Reductions and Contractions of 1-loop Tensor Feynman Integrals