# Multi-loop calculations: numerical methods and applications

## TL;DR

This paper reviews numerical techniques for multi-loop calculations in quantum field theory, focusing on sector decomposition methods and their application to complex two-loop integrals with multiple mass scales.

## Contribution

It introduces recent advancements in sector decomposition methods and demonstrates their application to challenging two-loop integrals with multiple mass scales.

## Key findings

- Enhanced numerical methods for multi-loop integrals.
- Successful application to complex two-loop integrals.
- Improved computational efficiency in multi-scale problems.

## Abstract

We briefly review numerical methods for calculations beyond one loop and then describe new developments within the method of sector decomposition in more detail. We also discuss applications to two-loop integrals involving several mass scales.