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2011 Fiscal Year Final Research Report

Method of Loop Integration for QCD Analysis

Research Project

  • PDF
Project/Area Number 21540286
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionHigh Energy Accelerator Research Organization

Principal Investigator

KANEKO Toshiaki  大学共同利用機関法人高エネルギー加速器研究機構, 計算科学センター, 教授 (40177522)

Project Period (FY) 2009 – 2011
Keywords素粒子(理論)
Research Abstract

One loop two and three point functions are expressed in terms of Lauricella FD hypergeometric function in d-dimensional space-time with any combinations of particle masses. Four point functions are expressed by Aomoto-Gelfand Hypergeometric functions. An efficient algorithm has been developed in sector decomposition method for general loop integrations.

  • Research Products

    (8 results)

All 2011 2010

All Journal Article (4 results) (of which Peer Reviewed: 1 results) Presentation (4 results)

  • [Journal Article] Sector Decomposition Via Computational Geometry2011

    • Author(s)
      T. Kaneko and T. Ueda
    • Journal Title

      Proceedings of Science ACAT2010

      Pages: 082

  • [Journal Article] A Geometric method of sector decomposition2010

    • Author(s)
      T. Kaneko and T. Ueda
    • Journal Title

      Computer Physics Communications

      Volume: 181 Pages: 1352-1361

    • Peer Reviewed
  • [Journal Article] A geometric approach to sector decomposition2010

    • Author(s)
      T. Ueda and T. Kaneko
    • Journal Title

      Proceedings of Science, CPP2010

      Pages: 015

  • [Journal Article] Numerical calculation of one-loop integration with hypergeometric functions2010

    • Author(s)
      T. Kaneko
    • Journal Title

      Proceedings of Science, CPP2010

      Pages: 010

  • [Presentation] One-loop Integrations with Hypergeometric Functions2011

    • Author(s)
      T. Kaneko
    • Organizer
      Mini-workshop on method and automatic tool in perturbative calculation of Quantum Field Theory
    • Place of Presentation
      IHEP,北京,中国
    • Year and Date
      2011-11-04
  • [Presentation] One-loop integrations with Hypergeometric functions2011

    • Author(s)
      T. Kaneko
    • Organizer
      ACAT 2011
    • Place of Presentation
      Brunel Univ., London, UK
    • Year and Date
      2011-09-08
  • [Presentation] Numerical calculation of one-loop integration with Hypergeometric functions2010

    • Author(s)
      T. Kaneko
    • Organizer
      3rd CPP Workshop
    • Place of Presentation
      KEK,茨城県つくば市
    • Year and Date
      2010-09-24
  • [Presentation] Sector decomposition via computational geometry2010

    • Author(s)
      T. Kaneko
    • Organizer
      13th International Workshop on Advanced Computing and Analysis Techniques in Physics Research(ACAT 2010)
    • Place of Presentation
      インド・ジャイプール
    • Year and Date
      2010-02-26

URL: 

Published: 2013-07-31  

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