典型文献
PV-reduction of sunset topology with auxiliary vector
文献摘要:
The Passarino-Veltman(PV)reduction method has proven to be very useful for the computation of general one-loop integrals.However,not much progress has been made when it is applied to higher loops.Recently,we have improved the PV-reduction method by introducing an auxiliary vector.In this paper,we apply our new method to the simplest two-loop integrals,i.e.,the sunset topology.We show how to use differential operators to establish algebraic recursion relations for reduction coefficients.Our algorithm can be easily applied to the reduction of integrals with arbitrary high-rank tensor structures.We demonstrate the efficiency of our algorithm by computing the reduction with the total tensor rank up to four.
文献关键词:
中图分类号:
作者姓名:
Bo Feng;Tingfei Li
作者机构:
Beijing Computational Science Research Center,Beijing 100084,China;Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou,310027,China;Center of Mathematical Science,Zhejiang University,Hangzhou,310027,China;Peng Huanwu Center for Fundamental Theory,Hefei,Anhui,230026,China
文献出处:
引用格式:
[1]Bo Feng;Tingfei Li-.PV-reduction of sunset topology with auxiliary vector)[J].理论物理,2022(09):60-87
A类:
Passarino,Veltman,recursion
B类:
PV,reduction,sunset,topology,auxiliary,vector,method,has,proven,very,useful,computation,general,one,integrals,However,not,much,progress,been,made,when,applied,higher,loops,Recently,have,improved,by,introducing,In,this,paper,apply,new,simplest,two,We,show,differential,operators,establish,algebraic,relations,coefficients,Our,algorithm,can,easily,arbitrary,rank,tensor,structures,demonstrate,efficiency,computing,total,up,four
AB值:
0.52551
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