Algorithm FIRE-Feynman integral reduction. 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.

References in zbMATH (referenced in 14 articles , 1 standard article )

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  1. Boels, Rutger H.; Kniehl, Bernd A.; Yang, Gang: Master integrals for the four-loop Sudakov form factor (2016)
  2. Feng, Feng: APart 2: a generalized Mathematica Apart function (2016)
  3. Grigo, Jonathan; Hoff, Jens; Steinhauser, Matthias: Higgs boson pair production: top quark mass effects at NLO and NNLO (2015)
  4. Ruijl, B.; Ueda, T.; Vermaseren, J.A.M.: The diamond rule for multi-loop Feynman diagrams (2015)
  5. Smirnov, A.V.: FIRE5: a C++ implementation of Feynman integral REduction (2015)
  6. Caron-Huot, Simon; Henn, Johannes M.: Iterative structure of finite loop integrals (2014)
  7. Kant, Philipp: Finding linear dependencies in integration-by-parts equations: a Monte Carlo approach (2014)
  8. Drummond, James; Duhr, Claude; Eden, Burkhard; Heslop, Paul; Pennington, Jeffrey; Smirnov, Vladimir A.: Leading singularities and off-shell conformal integrals (2013)
  9. Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.: Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation (2013)
  10. Smirnov, A.V.; Smirnov, V.A.: FIRE4, LiteRed and accompanying tools to solve integration by parts relations (2013)
  11. S√łgaard, Mads; Zhang, Yang: Multivariate residues and maximal unitarity (2013)
  12. Feng, Feng: $ Apart: a generalized Mathematica Apart function (2012)
  13. Bernreuther, Werner; Bogner, Christian; Dekkers, Oliver: The real radiation antenna function for $ S \to Q\barQq\barq $ at NNLO QCD (2011)
  14. Smirnov, A.V.: Algorithm FIRE-Feynman integral reduction (2008)