Algebraic reduction of one-loop Feynman graph amplitudes

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dc.creatorFleischer, J.
dc.creatorJegerlehner, F.
dc.creatorTarasov, O. V.
dc.date1999-07-13
dc.date1999-10-13
dc.date.accessioned2026-07-07T11:09:53Z
dc.date.available2026-07-07T11:09:53Z
dc.descriptionAn algorithm for the reduction of one-loop n-point tensor integrals to basic integrals is proposed. We transform tensor integrals to scalar integrals with shifted dimension and reduce these by recurrence relations to integrals in generic dimension. Also the integration-by-parts method is used to reduce indices (powers of scalar propagators) of the scalar diagrams. The obtained recurrence relations for one-loop integrals are explicitly evaluated for 5- and 6-point functions. In the latter case the corresponding Gram determinant vanishes identically for d=4, which greatly simplifies the application of the recurrence relations.
dc.description18 pages, 1 figure, added references, expanded introduction, improved text
dc.identifierhttps://arxiv.org/abs/hep-ph/9907327
dc.identifierhttp://arxiv.org/abs/hep-ph/9907327
dc.identifierNucl.Phys.B566:423-440,2000
dc.identifierdoi:10.1016/S0550-3213(99)00678-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190621
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAlgebraic reduction of one-loop Feynman graph amplitudes
dc.typetext

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