Numerical method for radiative correction including two-loop integrals and its application to Bhabha scattering

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540292
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: High Energy Accelerator Research Organization
• Principal Investigator: YUASA Fukuko 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, 准教授 (00203943)
• Co-Investigator(Renkei-kenkyūsha): ISHIKAWA Tadashi 高エネルギー加速器研究機構, 共通基盤研究施設 計算科学センター, 准教授 (90184481) ; KATO Kiyoshi 工学院大学, 基礎教養教育部門, 教授 (50152707)
• Research Collaborator: DE DONCKER Elise Western Michigan大学, コンピュータサイエンス学部, 教授
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: ファインマンダイアグラム / ２ループ積分 / 電弱相互作用

Outline of Final Research Achievements

We have developed a numerical method to compute two-loop Feynman loop integrals appearing in higher order corrections in the particle physics, especially for physics process with the electro-weak interaction. Our method is based on a numerical multi-dimensional integration and a numerical extrapolation method. We call the method "Direct Computation Method", shortly DCM. Since DCM is fully numerical, it is very flexible and can be applicable to Feynman diagrams with massive and massless internal lines in loops and diagrams with multi-loops and multi-legs. In this research duration, we applied DCM to several two-loop box integrals which are required to evaluate for the cross sections of the processes in the electro-weak interactions such as Bhabha scattering including up to two-loop order.

Free Research Field

計算素粒子物理学