GKZ-hypergeometric systems for Feynman integrals

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	GKZ-hypergeometric systems for Feynman integrals
	Feng, Tai-Fu ; Chang, Chao-Hsi ; Chen, Jian-Bin ; Zhang, Hai-Bin
刊名	NUCLEAR PHYSICS B
	2020
期号	953 页码:114952
关键词	MATHEMATICA-BASED PACKAGES DIFFERENTIAL REDUCTION DIAGRAMS HYPERDIRE ALGORITHMS EQUATIONS 3-POINT MODULES
ISSN号	0550-3213
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.
语种	英语
内容类型	期刊论文
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.CCAST World Lab, POB 8730, Beijing 100190, Peoples R China 2.[Feng, Tai-Fu 3.Hebei Univ, Dept Phys, Baoding 071002, Peoples R China 4.Hebei Key Lab High Precis Computat & Applicat Qua, Baoding 071002, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 6.Taiyuan Univ Technol, Dept Phys, Taiyuan 030024, Peoples R China 7.Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China 8.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, 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.