Semi-Automatic Calculations of Multi-Loop Feynman Amplitudes with Ampred
Copyright policy )Semi-Automatic Calculations of Multi-Loop Feynman Amplitudes with Ampred
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.
37 pages, examples added, matches published version
- South China Normal University
- South China Normal University
- South China Normal University China (People's Republic of)
- South China Normal University
High Energy Physics - Theory, Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, High Energy Physics - Theory (hep-th), multi-loop calculations, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, FOS: Physical sciences, Computational methods for problems pertaining to quantum theory, Feynman amplitudes
High Energy Physics - Theory, Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, High Energy Physics - Theory (hep-th), multi-loop calculations, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, FOS: Physical sciences, Computational methods for problems pertaining to quantum theory, Feynman amplitudes
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