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Systematic Study of Super Symmertric models.

Research Project

Project/Area Number 10640285
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionMeiji Gakuin University

Principal Investigator

KANEKO Toshiaki  Meijigakuin University, Department of Low, Professor, 法学部, 教授 (40177522)

Co-Investigator(Kenkyū-buntansha) ISHIKAWA Tadashi  High Energy Accelerator Research Organization, Assistant Professor, 計算科学センター, 助教授 (90184481)
KURODA Masaaki  Meijigakuin University, Department of Low, Professor, 法学部, 教授 (00170134)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Keywordsautomatic calculation / Feynman amplitudes / Super symmetry / MSSM / Feynman rules / Non-linear gauge / Computer algebra / Lagrangian / GRACE / SUSY / 自動計算 / 数式処理 / 摂動論
Research Abstract

We have been developing an automatic calculating system of Feynman amplitudes grace. In this Study, we have extended this system for Majorana particles and vertices in which Fermion numbers do not conserve. With a file describing Feynman rules of MSSM, grace system automatizes the whole proeess from the generation of Feynman graphs to the calculation of scattering cross sections and the generation of simulated events.
We have also extended the system for 1 loop processes in both standard model and MSSM. For standard model, calculation in non-linear gauge is available, with which one can numerically confirm the gauge invariance of the obtained results.
In MSSM, we have 86 particles, 3803 tree vertices and counter terms. We wrote them down in a machine readable form and we have checked gauge invariance for all possible processes with 6 external particles in order to confirm the correctness of the input Feynman rules. This procedure requires a large amount of man power and computer resources. It is not easy task to introduce such a complicated models by hand and is necessary to introduce a system which derive Feymnan rules from arbitral Lagrangian.
We have started to develop special purpose symbolic manipulating system. Since a Lagrangian includes wide varieties of mathematical objects, we are developing it as an interpreter of a newly designed computer programming language. It includes as usual computer programming language, functions of control structures, sub-program and composite data structures such as lists, arrays and records. It also manipulates rational numbers of arbitrary precision, mathematical symbols and symbolic mathematical operations. At this moment, we can derive Feynman rules automatically for QED with this system.

Report

(4 results)
  • 2001 Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] 藤本 他: "Susy23 v2.0:An event generator for supersymmetric processes at e^+e^-colliders"Computer Physics Communications. 11. 185-216 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Lafage 他: "Spin and spin-spin correlations in chargino pair production at future linear e^+e^-colliders"Int. J. Mod. Phys.. A14. 5075-5092 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Belange 他: "Implementation of the nonlinear gauge into GRACE"New Computing Techniques in Physical Research. V1. 206-210 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 藤本 他: "Automatic Calculation of One-loop Radiative Corrections to SUSY Processes with GRACE system"New Computing Techniques in Physical Research. V1. 261-265 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 湯浅 他: "Automatic computation of cross sections in HEP-status of GRACE system"Prog. Theor. Phys. Suppl.. 138. 18-23 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 湯浅 他: "AIP Conference Proceedings 583"A Feynman Graph Selection Tool in GRACE system. 176-178 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J. Fujimoto, K. Hikasa, T. Ishikawa, M. Jimbo, T. Kaneko, K. Kato, S. Kawabata, T. Kon, M. Kuroda, Y. Kurihara, T. Munehisa, D. Perret-Gallix, Y. Shimizu, H. Tanaka: "Susy23 V2.0 : An event generator for super-symmetric processes at e^+e^- colliders"Comput. Phys. Commun.. 111. 185-216 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] V. Lafage, T. Ishikawa, T. Kaneko, T. Kon, Y. Kurihara, H. Tanaka: "Spin and spin-spin correlations in chargino pair production at future linear e^+e^- colliders"Int. J. Mod. Phys.. A14. 5075-5092 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] G. Belanger, F. Boudjema, J. Fujimoto, T. Ishikawa, T. Kaneko, K. Kato, V. Lafage, N. Nakazawa, Y. Shimizu: "Implementation of the nonlinear gauge into GRACE"in "New Computing Techniques in Physics Research VI", Ed. G.Athanasiu and D.Perret-Gallix, Parisianou. 206-210 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J. Fujimoto, T. Ishikawa, T. Kaneko, K. Kato, M. Kuroda, V. Lafage and Y. Shimizu: "Automatic Calculation of One-loop Radiative Corrections to SUSY Processes with GRACE System"in "New Computing Techniques in Physics Research VI", Ed. G.Athanasiu and D.Perret-Gallix, Parisianou. 261-265 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] F. Yuasa, J. Fujimoto, T. Ishikawa, M. Jimbo, T. Kaneko, K. Kato, S. Kawabata, T. Kon, Y. Kurihara, M. Kuroda, N. Nakazawa, Y. Shimizu, H. Tanaka: "Automatic computation of cross-sections in HEP : status of GRACE system"in "the proceedings of 5th International Conference on Computational Conference on Computational Physics (ICCP 5)", Prog. Theor. Phys. Suppl.. 138. 18-23 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] F. Yuasa, T. Kaneko, T. Ishikawa: "A Feynman graph selection tool in GRACE system"in "Advanced Computing and Analysis Techniques in Physics Research", ed. P.C.Bhat and M.Kasemann, AIP Conference Proceedings. 583. 176-178 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 湯浅 他: "Automatic computation of cross-section in HEP"Progress of Theoretical Physics Supplement. 138. 18-23 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 藤本 他: "SUSY23 v2.0: an Event Generator for Supersymmetric processes of e^+e^- Colliders" Comput.Phys.Commun.111. 185-216 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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