Algebraic reduction of one-loop Feynman diagrams to scalar integrals

Published: 1 January 1988| Version 1 | DOI: 10.17632/yb8fyynrg9.1
Robin G. Stuart


Abstract It is shown how all one-loop integrals arising from Feynman diagrams in a general gauge theory can be reduced to scalar integrals. The scheme presented here successfully treats the case when the momenta are linear dependent. A set of algebraic manipulation routines written in REDUCE and that implements the scheme is described. Title of program: LERG-I Catalogue Id: ABBX_v1_0 Nature of problem Expressions obtained in the calculation of one-loop radiative corrections to processes in high energy physics are generally simplified by expressing them in terms of scalar integrals. LERG-I makes the reduction from form factors corresponding to the various possible Lorentz tensors occuring in the problem. 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