FMFT: Fully Massive Four-loop Tadpoles

TL;DR

FMFT is a FORM-based package designed to evaluate complex four-loop massive tadpole diagrams, extending the capabilities of previous tools like MATAD for higher-order quantum field theory calculations.

Contribution

It introduces a new computational tool for four-loop tadpole diagrams, enhancing the ability to perform high-order calculations in quantum field theories.

Findings

Successfully evaluates four-loop massive tadpole diagrams.

Extends previous tools to higher loop orders.

Provides examples demonstrating its usage.

Abstract

We present FMFT - a package written in FORM that evaluates four-loop fully massive tadpole Feynman diagrams. It is a successor of the MATAD package that has been successfully used to calculate many renormalization group functions at three-loop order in a wide range of quantum field theories especially in the Standard Model. We describe an internal structure of the package and provide some examples of its usage.