$\texttt{tapir}$: A tool for topologies, amplitudes, partial fraction decomposition and input for reductions

TL;DR

tapir is a versatile software tool designed to identify, manipulate, and simplify Feynman integral families, aiding high-precision multi-loop calculations in high energy physics.

Contribution

It introduces tapir, a configurable tool that integrates with FORM-based workflows to facilitate complex Feynman integral reductions.

Findings

Enables efficient reduction of multi-loop Feynman integrals.

Supports topology mapping and partial fraction decomposition.

Integrates seamlessly with existing FORM-based tools.

Abstract

The demand for precision predictions in the field of high energy physics has dramatically increased over recent years. Experiments conducted at the LHC, as well as precision measurements at the intensity frontier such as Belle II require equally precise theoretical predictions to make full use of the acquired data. To match the experimental precision, two-, three- and, for certain quantities, even higher-loop calculations are required. To facilitate such calculations, computer software automating as many steps as possible is required. Yet, each calculation poses different challenges and thus, a high level of configurability is required. In this context we present $\texttt{tapir}$: a tool for identification, manipulation and minimization of Feynman integral families. It is designed to integrate in $\texttt{FORM}$-based toolchains which is common practice in the field. $\texttt{tapir}$ can be used to reduce the complexity of multi-loop problems with cut-filters, topology mapping, partial fraction decomposition and alike.