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Feng, Tai-Fu; Chang, Chao-Hsi; Chen, Jian-Bin; Zhang, Hai-Bin
GKZ-hypergeometric systems for Feynman integrals
Source PublicationNUCLEAR PHYSICS B
AbstractBasing 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.
Indexed BySCIE
Document Type期刊论文
Affiliation1.[Feng, Tai-Fu
2.Hebei Univ, Dept Phys, Baoding 071002, Peoples R China
3.Hebei Key Lab High Precis Computat & Applicat Qua, Baoding 071002, Peoples R China
4.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China
5.CCAST World Lab, POB 8730, Beijing 100190, Peoples R China
6.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
7.Taiyuan Univ Technol, Dept Phys, Taiyuan 030024, Peoples R China
8.Chongqing Univ, Dept Phys, Chongqing 401331, Peoples R China
Recommended Citation
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.
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