NeatIBP 1.0, a package generating small-size integration-by-parts relations for Feynman integrals
Copyright policy )NeatIBP 1.0, a package generating small-size integration-by-parts relations for Feynman integrals
In this work, we present the package {\sc NeatIBP}, which automatically generates small-size integration-by-parts (IBP) identities for Feynman integrals. Based on the syzygy and module intersection techniques, the generated IBP identities' propagator degree is controlled and thus the size of the system of IBP identities is shorter than that generated by the standard Laporta algorithm. This package is powered by the computer algebra systems {\sc Mathematica} and {\sc Singular}, and the library {\sc SpaSM}. It is parallelized on the level of Feynman integral sectors. The generated small-size IBP identities can subsequently be used for either finite field reduction or analytic reduction. We demonstrate the capabilities of this package on several multi-loop IBP examples.
update to published version
- University of Science and Technology of China China (People's Republic of)
- Peng Huanwu Center for Fundamental Theory China (People's Republic of)
High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), module intersection method, High Energy Physics - Theory (hep-th), Software, source code, etc. for problems pertaining to quantum theory, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, Feynman integrals, FOS: Physical sciences, syzygies, Feynman diagrams, IBP identities
High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), module intersection method, High Energy Physics - Theory (hep-th), Software, source code, etc. for problems pertaining to quantum theory, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, Feynman integrals, FOS: Physical sciences, syzygies, Feynman diagrams, IBP identities
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