Method of Loop Integration for QCD Analysis
Project/Area Number |
21540286
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
Research Institution | High 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
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 素粒子(理論) / QCD / ループ積分 / 超幾何関数 / 次元正規化法 |
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.
|
Report
(4 results)
Research Products
(14 results)