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arXiv · 2408.06426

Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed

Wen Chen
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Abstract

We present a Mathematica package AmpRed for the semi-automatic calculations of multi-loop Feynman amplitudes with high efficiency and precision. AmpRed implements the methods of integration by parts and differential equations in the Feynman-parameter representation. It allows for the calculations of general parametric integrals (which may not have momentum-space correspondences). Various user-friendly tools for multi-loop calculations, such as those to construct and solve differential equations for Feynman integrals, are provided. It can also deal with tensor algebras in non-relativistic field theories. Interfaces to some packages, like QGRAF and FORM, are also provided.

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Wen Chen. 2024-08-12. Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed. https://arxiv.org/abs/2408.06426

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