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K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops , Nucl. Phys. B192
1981
Earlier work this paper cites.
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations , Int.J.Mod.Phys. A15
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions , Nucl. Phys. B580
2000
Earlier work this paper cites.
C. W. Bauer, A. Frink and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language , J. Symb. Comput. 33
2000
Earlier work this paper cites.
C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations , JHEP 07
2004
Earlier work this paper cites.

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2018

Maierhöfer, Philipp, Usovitsch, Johann

We present the Feynman integral reduction program Kira 1.2 and describe its new features and other changes w.r.t.

the previous versions.
The main new features include a much faster equation generator, more flexible seed specification options, several predefined integral orderings, the reduction of systems of user-provided equations and a new technique to simplify coefficients by sampling variables over integers.
Furthermore, we provide a collection of recommendations on how to use the program efficiently.

K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops , Nucl. Phys. B192
1981
Earlier work this paper cites.
S. Laporta, High precision calculation of multiloop Feynman integrals by difference equations , Int.J.Mod.Phys. A15
2000
Earlier work this paper cites.
T. Gehrmann and E. Remiddi, Differential equations for two loop four point functions , Nucl. Phys. B580
2000
Earlier work this paper cites.
C. W. Bauer, A. Frink and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language , J. Symb. Comput. 33
2000
Earlier work this paper cites.
C. Anastasiou and A. Lazopoulos, Automatic integral reduction for higher order perturbative calculations , JHEP 07
2004
Earlier work this paper cites.