Reduction of one-loop tensor 5-point integrals

Abstract

A new method for the reduction of one-loop tensor 5-point integrals to related 4-point integrals is proposed. In contrast to the usual Passarino-Veltman reduction and other methods used in the literature, this reduction avoids the occurrence of inverse Gram determinants, which potentially cause severe numerical instabilities in practical calculations. Explicit results for the 5-point tensor coefficients are presented up to rank 4. The expressions for the reduction of the relevant 1-, 2-, 3-, and 4-point tensor coefficients to scalar integrals are also included; apart from these standard integrals no other integrals are needed.

24 pages, latex, some references added

References in corpus (3)

• NLO QCD corrections to t anti-t H production in hadron collisions
• All-Purpose Numerical Evaluation of One-Loop Multi-Leg Feynman Diagrams
• A numerical evaluation of the scalar hexagon integral in the physical region

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