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The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals.
G. ’t Hooft and M. Veltman, Regularization and renormalization of gauge fields, Nucl. Phys
1972
Earlier work this paper cites.
K.G. Chetyrkin and F.V. Tkachov, Integration by parts: the algorithm to calculate beta functions in 4 loops, Nucl. Phys
1981
Earlier work this paper cites.
B. Buchberger and F. Winkler (eds.) Gröbner Bases and Applications
1998
Earlier work this paper cites.
S. Laporta, High-precision calculation of multi-loop Feynman integrals by difference equations, Int. J. Mod. Phys
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Two-loop master integrals for γ ∗ \gamma^{*} → \to 3 jets: the planar topologies, Nucl. Phys
2001
Earlier work this paper cites.
V.A. Smirnov and M. Steinhauser, Solving recurrence relations for multi-loop Feynman integrals, Nucl. Phys
2003
Earlier work this paper cites.
C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations, JHEP
2004
Cited alongside, same era.
V.A. Smirnov, Evaluating Feynman integrals
2004
Cited alongside, same era.
O.V. Tarasov, Reduction of Feynman graph amplitudes to a minimal set of basic integrals, Acta Phys. Polon
2004
Cited alongside, same era.
V.P. Gerdt, Gröbner bases in perturbative calculations, Nucl. Phys
2004
Cited alongside, same era.
A.V. Smirnov and V.A. Smirnov, Applying Gröbner bases to solve reduction problems for Feynman integrals, JHEP
2005
Cited alongside, same era.
V.P. Gerdt and D. Robertz, A Maple package for computing Gröbner bases for linear recurrence relations
P.A. Baikov, Explicit solutions of the 3–loop vacuum integral recurrence relations, Phys. Lett
2006
Later among the works it cites.
A.V. Smirnov An Algorithm to Construct Gröbner Bases for Solving Integration by Parts Relations, JHEP
2006
Later among the works it cites.
A.G. Grozin, A.V. Smirnov and V.A. Smirnov, Decoupling of heavy quarks in HQET, JHEP
2006
Later among the works it cites.
2007
Later among the works it cites.
2007
Later among the works it cites.
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Cited in the paper.
QLink — open-source program by A.V. Smirnov, http://qlink08.sourceforge.net
Cited in the paper.
QDBM — open-source program by M. Hirabayashi, http://qdbm.sourceforge.net
Cited in the paper.
FLink — open-source program by A.V. Smirnov and M. Tentioukov, can be downloaded from http://www-ttp.particle.uni-karlsruhe.de/ ∼ \sim asmirnov/
Cited in the paper.
Fermat — shareware program by R.H. Lewis, http://home.bway.net/lewis/
Cited in the paper.