GKZ-hypergeometric systems for Feynman integrals
文献类型：期刊论文
| 作者 | Feng, Tai-Fu; Chang, Chao-Hsi; Chen, Jian-Bin; Zhang, Hai-Bin |
| 刊名 | NUCLEAR PHYSICS B
 |
| 出版日期 | 2020 |
| 卷号 | 953页码:114952 |
| ISSN号 | 0550-3213 |
| 关键词 | MATHEMATICA-BASED PACKAGES DIFFERENTIAL REDUCTION DIAGRAMS HYPERDIRE ALGORITHMS EQUATIONS 3-POINT MODULES |
| DOI | 10.1016/j.nuclphysb.2020.114952 |
| 英文摘要 | Basing on the systems of linear partial differential equations derived from Mellin-Barnes representations and Miller's transformation, we obtain GKZ-hypergeometric systems of one-loop self energy, oneloop triangle, two-loop vacuum, and two-loop sunset diagrams, respectively. The codimension of derived GKZ-hypergeometric system equals the number of independent dimensionless ratios among the external momentum squared and virtual mass squared. Taking GKZ-hypergeometric systems of one-loop self energy, massless one-loop triangle, and two-loop vacuum diagrams as examples, we present in detail how to perform triangulation and how to construct canonical series solutions in the corresponding convergent regions. The series solutions constructed for these hypergeometric systems recover the well known results in literature. (C) 2020 The Authors. Published by Elsevier B.V. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/26992]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Taiyuan Univ Technol, Dept Phys, Taiyuan 030024, Peoples R China 2.CCAST World Lab, POB 8730, Beijing 100190, Peoples R China 3.[Feng, Tai-Fu 4.Hebei Univ, Dept Phys, Baoding 071002, Peoples R China 5.Hebei Key Lab High Precis Computat & Applicat Qua, Baoding 071002, Peoples R China 6.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 7.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 8.Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China |
| 推荐引用方式 GB/T 7714 | Feng, Tai-Fu,Chang, Chao-Hsi,Chen, Jian-Bin,et al. GKZ-hypergeometric systems for Feynman integrals[J]. NUCLEAR PHYSICS B,2020,953:114952. |
| APA | Feng, Tai-Fu,Chang, Chao-Hsi,Chen, Jian-Bin,&Zhang, Hai-Bin.(2020).GKZ-hypergeometric systems for Feynman integrals.NUCLEAR PHYSICS B,953,114952. |
| MLA | Feng, Tai-Fu,et al."GKZ-hypergeometric systems for Feynman integrals".NUCLEAR PHYSICS B 953(2020):114952. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。