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  • 标题:Sector decomposition via computational geometry
  • 本地全文:下载
  • 作者:T. Kaneko ; T. UEDA
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2010
  • 卷号:2010
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:A non-iterative method is presented for the factorization step of sector decomposition method, which separates infrared divergent part from loop integration. This method is based on a clas- sification of asymptotic behavior of polynomials. The problem is converted to ones for convex body in Euclidean space. 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.
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