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Feng, TF; Chang, CH; Chen, JB; Gu, ZH; Zhang, HB
Evaluating Feynman integrals by the hypergeometry
发表期刊NUCLEAR PHYSICS B
语种英语
关键词DIFFERENTIAL-EQUATIONS METHOD DIAGRAMS RENORMALIZATION REDUCTION ALGORITHM MASSES BOSON LHC
摘要The hypergeometric function method naturally provides the analytic expressions of scalar integrals from concerned Feynman diagrams in some connected regions of independent kinematic variables, also presents the systems of homogeneous linear partial differential equations satisfied by the corresponding scalar integrals. Taking examples of the one-loop B-0 and massless C-0 functions, as well as the scalar integrals of two-loop vacuum and sunset diagrams, we verify our expressions coinciding with the well-known results of literatures. Based on the multiple hypergeometric functions of independent kinematic variables, the systems of homogeneous linear partial differential equations satisfied by the mentioned scalar integrals are established. Using the calculus of variations, one recognizes the system of linear partial differential equations as stationary conditions of a functional under some given restrictions, which is the cornerstone to perform the continuation of the scalar integrals to whole kinematic domains numerically with the finite element methods. In principle this method can be used to evaluate the scalar integrals of any Feynman diagrams. (c) 2018 The Authors. Published by Elsevier B.V.
2018
ISSN0550-3213
卷号927页码:516-549
学科领域Physics
学科门类Physics, Particles & Fields
DOI10.1016/j.nuclphysb.2018.01.001
收录类别SCIE
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22967
专题理论物理所科研产出_SCI论文
作者单位1.[Feng, Tai-Fu
2.Gu, Zhi-Hua
3.Hebei Univ, Dept Phys, 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, Shanxi, Peoples R China
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GB/T 7714
Feng, TF,Chang, CH,Chen, JB,et al. Evaluating Feynman integrals by the hypergeometry[J]. NUCLEAR PHYSICS B,2018,927:516-549.
APA Feng, TF,Chang, CH,Chen, JB,Gu, ZH,&Zhang, HB.(2018).Evaluating Feynman integrals by the hypergeometry.NUCLEAR PHYSICS B,927,516-549.
MLA Feng, TF,et al."Evaluating Feynman integrals by the hypergeometry".NUCLEAR PHYSICS B 927(2018):516-549.
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