FIRE5: a C++ implementation of Feynman Integral REduction

Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops,

K. G. Chetyrkin, F. V. Tkachov, · 1981

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High-precision calculation of multi-loop Feynman integrals by difference equations,

S. Laporta, · 2000

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Automatic integral reduction for higher order perturbative calculations,

C. Anastasiou, A. Lazopoulos, · 2004

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Algorithm FIRE – Feynman Integral REduction,

A. V. Smirnov, · 2008

Earlier work this paper cites.

Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals,

R. N. Lee, · 2008

Earlier work this paper cites.

Quark and gluon form factors to three loops,

P. A. Baikov, K. G. Chetyrkin, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 2009

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Reduze - Feynman Integral Reduction in C++,

C. Studerus, · 2010

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Analytic Results for Massless Three-Loop Form Factors,

R. N. Lee, A. V. Smirnov, V. A. Smirnov, · 2010

Earlier work this paper cites.

The number of master integrals is finite,

A. V. Smirnov, A. V. Petukhov, · 2011

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Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight,

R. Lee, V. Smirnov, · 2011

Cited alongside, same era.

On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams,

R. N. Lee, A. V. Smirnov, V. A. Smirnov, · 2011

Cited alongside, same era.

Analytic tools for Feynman integrals,

V. A. Smirnov, · 2012

Cited alongside, same era.

Reduze 2 - Distributed Feynman Integral Reduction (2012)

A. von Manteuffel, C. Studerus, · 2012

Cited alongside, same era.

Presenting LiteRed: a tool for the Loop InTEgrals REDuction (2012)

R. N. Lee, · 2012

Cited alongside, same era.

Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve,

R. N. Lee, A. V. Smirnov, V. A. Smirnov, · 2012

Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment,

R. Lee, P. Marquard, A. V. Smirnov, V. A. Smirnov, M. Steinhauser, · 2013

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Leading singularities and off-shell conformal integrals,

J. Drummond, C. Duhr, B. Eden, P. Heslop, J. Pennington, et al., · 2013

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On the Higgs boson pair production at the LHC,

J. Grigo, J. Hoff, K. Melnikov, M. Steinhauser, · 2013

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Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation,

J. M. Henn, A. V. Smirnov, V. A. Smirnov, · 2013

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Analytic results for two-loop master integrals for Bhabha scattering I,

J. M. Henn, V. A. Smirnov, · 2013

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Ultraviolet Properties of N=4 Supergravity at Four Loops,