LERG-I

Algebraic reduction of Feynman diagrams to scalar integrals: A {it Mathematica} implementation of LERG-I A Mathematica implementation of the program LERG-I is presented that performs the reduction of tensor integrals, encountered in one-loop Feynman diagram calculations, to scalar integrals. The program was originally coded in REDUCE and in that incarnation was applied to a number of problems of physical interest. (Source: http://cpc.cs.qub.ac.uk/summaries/)

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References in zbMATH (referenced in 12 articles , 1 standard article )

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  1. Feng, Bo; Jia, Yin; Huang, Rijun: Relations of loop partial amplitudes in gauge theory by Unitarity cut method (2012)
  2. Bjerrum-Bohr, N. E. J.; Dunbar, David C.; Perkins, Warren B.: Analytic structure of three-mass triangle coefficients (2008)
  3. Battistel, O. A.; Dallabona, G.: A systematization for one-loop 4D Feynman integrals (2006)
  4. Denner, A.; Dittmaier, S.: Reduction schemes for one-loop tensor integrals (2006)
  5. Britto, Ruth; Cachazo, Freddy; Feng, Bo: Coplanarity in twistor space of (\mathcalN=4) next-to-MHV one-loop amplitude coefficients (2005)
  6. Binoth, T.; Heinrich, G.; Kauer, N.: A numerical evaluation of the scalar hexagon integral in the physical region (2003)
  7. Fleischer, J.; Jegerlehner, F.; Tarasov, O. V.: Algebraic reduction of one-loop Feynman graph amplitudes (2000)
  8. Devaraj, Ganesh; Stuart, Robin G.: Reduction of one-loop tensor form factors to scalar integrals: a general scheme (1998)
  9. Pittau, R.: A simple method for multi-leg loop calculations. II: A general algorithm (1998)
  10. Stuart, Robin G.: Algebraic reduction of Feynman diagrams to scalar integrals: A \textitMathematicaimplementation of LERG-I (1995)
  11. Davydychev, A. I.: Some exact results for N-point massive Feynman integrals (1991)
  12. Stuart, Robin G.: Algebraic reduction of one-loop Feynman diagrams to scalar integrals. (1988) ioport