出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Nowadays the sector decomposition technique, which can isolate divergences from parametric
representations of integrals, becomes a quite useful tool for numerical evaluations of the Feynman
loop integrals. It is used to verify the analytical results of multi-loop integrals in the Euclidean
region, or in some cases practically used in the physical region by combining with other methods
handling the threshold. In an intermediate stage of the sector decomposition for the multi-loop
integrals, one often has to handle enormously large expressions containing tons of terms. The
symbolic manipulation system FORM is originally designed to treat such huge expressions and has
a strong advantage for it. In this talk, the implementation of the sector decomposition algorithm
in FORM is discussed. A number of concrete examples including cases of multi-loop diagrams are
also shown.
