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

1996/04/05 by P.A. Baikov, Baikov, P. A.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Numerical methods for differential equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.hep-ph/9604254

openalex publication_date 1996/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Explicit formulas for solutions of recurrence relations for 3--loop vacuum integrals are generalized for the n-loop case.

Related

• Advanced method of solving recurrence relations for multi-loop Feynman integrals
• High-precision evaluation of four-loop vacuum bubbles in three dimensions
• Closed-form solution of a general three-term recurrence relation
• Factorizing two-loop vacuum sum-integrals
• Generalization of the three-term recurrence formula and its applications