A simple method for multi-leg loop calculations
Abstract
A simple algorithm is presented for the tensorial reduction of one-loop diagrams with massless external momenta. At most rank one tensor integrals with the initial number of denominators appear, plus, eventually, higher rank integrals with less denominators. The number of Gram determinants in the tensorial decomposition is then reduced, giving a better numerical stability of the results. In some cases, surprisingly simple expressions can be obtained, even for very complicated one-loop multi-leg diagrams.Keywords
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