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

TL;DR

BOKASUN is a computational tool that efficiently and accurately evaluates two-loop sunrise diagram integrals using series expansion and differential equations, applicable to arbitrary parameters.

Contribution

It introduces a novel combination of series expansion and Runge-Kutta methods for precise calculation of two-loop master integrals.

Findings

Achieves high precision in integral evaluation.

Offers fast computation for arbitrary masses and momenta.

Combines two numerical methods for robustness.

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.