出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:We present a non-iterative method of sector decomposition, which is used to factorise overlapping singularities from multi-dimensional integrals appearing in perturbative quantum field theory. The problem is converted to a set of ones in convex geometry, and they are solved with algorithms developed in computational geometry. A test implementation shows that this method produces less number of decomposed sectors than usual iterative sector decompositions.