Algebraic reduction of Feynman diagrams to scalar integrals: A Mathematica implementation of LERG-I

Published: 1 January 1995| Version 1 | DOI: 10.17632/7zyzv2g56z.1
Robin G. Stuart


Abstract 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. Title of program: LERG-I Catalogue Id: ABBX_v3_0 [ADAP] Nature of problem Expressions obtained in the calculation of one-loop radiative corrections in particle physics are generally simplified by expressing them in terms of scalar integrals. LERG-I reduces the form factors, associated with the various possible Lorentz tensors, occurring in the problem, to scalar integrals. CORRECTION SUMMARY: Vol:Year:Page 88:1995:347 "000A CORRECTION 28/04/95" "Algebraic reduction of Feynman diagrams to scalar integrals: a Mathematica implementation of LERG-I. (C.P.C. 85(1995)267)." R.G. Stuart Note: correction instructions are contained in source code Versions of this program held in the CPC repository in Mendeley Data ABBX_v1_0; LERG-I; 10.1016/0010-4655(88)90202-0 ABBX_v2_0; LERG-I; 10.1016/0010-4655(90)90019-W ABBX_v3_0; LERG-I; 10.1016/0010-4655(94)00141-N This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System, Computational Method