Algorithm FIRE - Feynman Integral REduction

被引:374
作者
Smirnov, A. V. [1 ]
机构
[1] Univ Karlsruhe, Sci Res Comp Ctr, Moscow State Univ, Inst Theoret Teilchenphys, Wolfgang Geade Str 1, Karlsruhe, Germany
关键词
NLO Computations; QCD;
D O I
10.1088/1126-6708/2008/10/107
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm, the s-bases algorithm, region-bases and integrating explicitly over loop momenta when possible. Currently it is being used in complicated three-loop calculations.
引用
收藏
页数:23
相关论文
共 31 条
[1]  
Anastasiou C, 2004, J HIGH ENERGY PHYS
[2]  
[Anonymous], 2004, EVALUATING FEYNMAN I
[3]   Explicit solutions of the 3-loop vacuum integral recurrence relations [J].
Baikov, PA .
PHYSICS LETTERS B, 1996, 385 (1-4) :404-410
[5]   A practical criterion of irreducibility of multi-loop Feynman integrals [J].
Baikov, PA .
PHYSICS LETTERS B, 2006, 634 (2-3) :325-329
[6]  
BOLLINI CG, 1972, NUOV CIMEN S I FIS B, VB 12, P20
[7]  
BUCHBERGER B, 1998, GROBNER BASES APPL
[8]   INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS [J].
CHETYRKIN, KG ;
TKACHOV, FV .
NUCLEAR PHYSICS B, 1981, 192 (01) :159-204
[9]  
Gehrmann T, 2001, NUCL PHYS B, V601, P248, DOI 10.1016/S0550-3213(01)00057-8
[10]   Two-loop master integrals for γ* → 3 jets:: the non-planar topologies [J].
Gehrmann, T ;
Remiddi, E .
NUCLEAR PHYSICS B, 2001, 601 (1-2) :287-317