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

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 $\text{tapir}$: a tool for identification, manipulation and minimization of Feynman integral families. It is designed to integrate in $\text{FORM}$-based toolchains which is common practice in the field. $\text{tapir}$ can be used to reduce the complexity of multi-loop problems with cut-filters, topology mapping, partial fraction decomposition and alike.

Final version

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• OneLOop: for the evaluation of one-loop scalar functions
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• $Apart: A Generalized Mathematica Apart Function
• A resource for signs and Feynman diagrams of the Standard Model
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• FeynGame 3.0
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• Universal Treatment of Reduction for One-Loop Integrals in Projective Space
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