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FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions

Alexander V. Smirnov

TL;DR

FIESTA 3 advances numerical evaluation of multiloop Feynman integrals by introducing cluster-parallelized computation, physical-region capabilities, and new asymptotic-expansion algorithms. It combines sophisticated sector-decomposition strategies with contour deformation and region-based expansions, supported by a robust Mathematica–C++ workflow and MPI-enabled cluster execution. The work demonstrates improved scalability and precision, including detailed installation, usage, and configuration guidance, and outlines future GPU acceleration. Overall, it significantly enhances automated, high-precision evaluations of complex Feynman integrals in realistic kinematic regimes.

Abstract

The goal of this paper is to present a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). This version presents features like cluster-parallelization, new asymptotic expansion algorithms, calculations in physical regions, new sector-decomposition strategies, as well as multiple speed, memory, and stability improvements.

FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions

TL;DR

FIESTA 3 advances numerical evaluation of multiloop Feynman integrals by introducing cluster-parallelized computation, physical-region capabilities, and new asymptotic-expansion algorithms. It combines sophisticated sector-decomposition strategies with contour deformation and region-based expansions, supported by a robust Mathematica–C++ workflow and MPI-enabled cluster execution. The work demonstrates improved scalability and precision, including detailed installation, usage, and configuration guidance, and outlines future GPU acceleration. Overall, it significantly enhances automated, high-precision evaluations of complex Feynman integrals in realistic kinematic regimes.

Abstract

The goal of this paper is to present a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). This version presents features like cluster-parallelization, new asymptotic expansion algorithms, calculations in physical regions, new sector-decomposition strategies, as well as multiple speed, memory, and stability improvements.

Paper Structure

This paper contains 15 sections, 5 equations, 2 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Integrating at and above the threshold
  3. Example
  4. Cluster-parallelization and internal structure of FIESTA 3
  5. Numerical algorithms for asymptotic expansion of Feynman integrals
  6. Mellin-Barnes and sector decomposition
  7. Regions and sector decomposition
  8. Installation and usage
  9. Installation
  10. Program syntax
  11. Program options
  12. CIntegratePool options
  13. CIntegrate options
  14. Setup for cluster calculations
  15. Conclusion

Figures (2)

  • Figure 1: K4 graph
  • Figure 2: Graphical representation of timings