BOKASUN: A fast and precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams

2008/07/12 by Michele Caffo, M. Caffo, H. Czyż +5 · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Bernoulli's principle #Black Holes and Theoretical Physics #Diagram #Differential (mechanical device) #Differential equation #Loop (graph theory) #Mathematical analysis #Mathematics #Meteorology #Momentum (technical analysis) #Numerical integration #Order of integration (calculus) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Runge–Kutta methods #Series (stratigraphy) #Sunrise #hep-ph

paper · pdf · doi:10.1016/j.cpc.2008.10.011

arxiv created 2008/07/12 · openalex publication_date 2008/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present the program BOKASUN for fast and precise evaluation of the Master Integrals of the two-loop self-mass sunrise diagram for arbitrary values of the internal masses and the external four-momentum. We use a combination of two methods: a Bernoulli accelerated series expansion and a Runge-Kutta numerical solution of a system of linear differential equations.

Citations

• Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies
• Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations
• Two-point functions at two loops in three flavour chiral perturbation theory
• Calculation of master integrals by difference equations
• Numerical evaluation of two-dimensional harmonic polylogarithms

Cited by

• A systematic and efficient method to compute multi-loop master integrals