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FIRE is a program performing reduction of Feynman integrals to master integrals.
Four-loop quark form factor with quartic fundamental colour factor (2019). arXiv:1901.02898
R. N. Lee, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 1901
Earlier work this paper cites.
Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops,
K. G. Chetyrkin, F. V. Tkachov, · 1981
Earlier work this paper cites.
High-precision calculation of multi-loop Feynman integrals by difference equations,
S. Laporta, · 2000
Earlier work this paper cites.
Automatic integral reduction for higher order perturbative calculations,
C. Anastasiou, A. Lazopoulos, · 2004
Earlier work this paper cites.
An algorithm to construct Groebner bases for solving integration by parts relations,
A. V. Smirnov, · 2006
Earlier work this paper cites.
S-bases as a tool to solve reduction problems for Feynman integrals,
A. V. Smirnov, V. A. Smirnov, · 2006
Earlier work this paper cites.
On the reduction of Feynman integrals to master integrals,
A. V. Smirnov, V. A. Smirnov, · 2007
Earlier work this paper cites.
R. N. Lee, · 2008
Earlier work this paper cites.
Algorithm FIRE – Feynman Integral REduction,
A. V. Smirnov, · 2008
Earlier work this paper cites.
Reduze - Feynman Integral Reduction in C++,
C. Studerus, · 2010
Earlier work this paper cites.
The number of master integrals is finite,
A. V. Smirnov, A. V. Petukhov, · 2011
Cited alongside, same era.
Analytic tools for Feynman integrals,
V. A. Smirnov, · 2012
Cited alongside, same era.
Top quark pairs at two loops and Reduze 2 (2012b). doi: 10.22323/1.151.0059
A. von Manteuffel, C. Studerus, · 2012
Cited alongside, same era.
Presenting LiteRed: a tool for the Loop InTEgrals REDuction (2012). arXiv:1212.2685
R. N. Lee, · 2012
Cited alongside, same era.
FIRE4, LiteRed and accompanying tools to solve integration by parts relations,
A. V. Smirnov, V. A. Smirnov, · 2013
Cited alongside, same era.
A planar four-loop form factor and cusp anomalous dimension in QCD,
J. M. Henn, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 2016
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P. Marquard, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, D. Wellmann, · 2016
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Scattering amplitudes over finite fields and multivariate functional reconstruction,
T. Peraro, · 2016
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Quark and gluon form factors to four-loop order in QCD: the N f 3 N_{f}^{3} contributions,
A. von Manteuffel, R. M. Schabinger, · 2017
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"lomonosov": Supercomputing at moscow state university,
V. Sadovnichy, A. Tikhonravov, V. Voevodin, V. Opanasenko, · 2013
Cited alongside, same era.
LiteRed 1.4: a powerful tool for reduction of multiloop integrals,
R. N. Lee, · 2014
Cited alongside, same era.
FIRE5: a C++ implementation of Feynman Integral REduction,
A. V. Smirnov, · 2014
Cited alongside, same era.
Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order,
A. Kurz, T. Liu, P. Marquard, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 2015
Cited alongside, same era.
Reduze 2 - Distributed Feynman Integral Reduction (2012a). arXiv:1201.4330
A. von Manteuffel, C. Studerus,
Cited in the paper.
J. Henn, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, R. N. Lee, · 2017
Later among the works it cites.
The n f 2 n_{f}^{2} contributions to fermionic four-loop form factors,
R. N. Lee, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 2017
Later among the works it cites.
Kira—A Feynman integral reduction program,
P. Maierhöfer, J. Usovitsch, P. Uwer, · 2018
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Kira 1.2 Release Notes (2018). arXiv:1812.01491
P. Maierhöfer, J. Usovitsch, · 2018
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Four-loop wave function renormalization in QCD and QED,
P. Marquard, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 2018
Later among the works it cites.