Algebraic reduction of one-loop Feynman graph amplitudes
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
An algorithm for the reduction of one-loop n-point tensor integrals to basic integrals is proposed. We transform tensor integrals to scalar integrals with shifted dimension and reduce these by recurrence relations to integrals in generic dimension. Also the integration-by-parts method is used to reduce indices (powers of scalar propagators) of the scalar diagrams. The obtained recurrence relations for one-loop integrals are explicitly evaluated for 5- and 6-point functions. In the latter case the corresponding Gram determinant vanishes identically for d=4, which greatly simplifies the application of the recurrence relations.
Keywords
Cite
@article{arxiv.hep-ph/9907327,
title = {Algebraic reduction of one-loop Feynman graph amplitudes},
author = {J. Fleischer and F. Jegerlehner and O. V. Tarasov},
journal= {arXiv preprint arXiv:hep-ph/9907327},
year = {2008}
}
Comments
18 pages, 1 figure, added references, expanded introduction, improved text