Reduction of one-loop tensor 5-point integrals

Details Reduction of one-loop tensor 5-point integrals Reduction of one-loop tensor 5-point integrals

2002-12-18

arxiv.org/abs/hep-ph/0212259v2

Nucl.Phys.B658:175-202,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, latex, some references added

Scientific paper

10.1016/S0550-3213(03)00184-6

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.

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