English

Explicit solutions of the 3--loop vacuum integral recurrence relations

High Energy Physics - Phenomenology 2008-11-26 v3 High Energy Physics - Theory

Abstract

Explicit formulas for the solutions of the recurrence relations for 3--loop vacuum integrals are suggested. This formulas can be used for direct calculations and demonstrate a high efficiency. They also produce a new type of recurrence relations over the space--time dimension.

Keywords

Cite

@article{arxiv.hep-ph/9603267,
  title  = {Explicit solutions of the 3--loop vacuum integral recurrence relations},
  author = {P. A. Baikov},
  journal= {arXiv preprint arXiv:hep-ph/9603267},
  year   = {2008}
}

Comments

5 pages, misprint in the intermediate formula corrected

R2 v1 2026-07-22T14:30:13.715Z