English

Explicit solutions of the multi-loop integral recurrence relations and its application

High Energy Physics - Phenomenology 2011-04-15 v1

Abstract

The approach to the constructing explicit solutions of the recurrence relations for multi-loop integrals are suggested. The resulting formulas demonstrate a high efficiency, at least for 3-loop vacuum integrals case. They also produce a new type of recurrence relations over the space-time dimension.

Keywords

Cite

@article{arxiv.hep-ph/9611449,
  title  = {Explicit solutions of the multi-loop integral recurrence relations and its application},
  author = {P. A. Baikov},
  journal= {arXiv preprint arXiv:hep-ph/9611449},
  year   = {2011}
}

Comments

LaTeX, 5 pages, no figures, Talk given at 5th International Workshop on New Computing Techniques in Physics Research: Software Engineering, Neural Nets, Genetic Algorithms, Expert Systems, Symbolic Algebra, Automatic Calculations (AIHENP 96), Lausanne, Switzerland, 2-6 Sep 1996