dSIBP: a package for generating IBP seeds for QFT in de Sitter spacetime

Recent studies show that in addition to the flat spacetime, Integration-by-parts (IBP) relations and differential equations can also provide a systematic approach to Feynman integrals in de Sitter spacetime. dSIBP is a Mathematica package for the automated construction of IBP systems and differential equations. For dS integral families with massive and massless propagators, it generates a complete set of IBP seeds, assembles linear systems for external reduction, and constructs differential equations for the reduced master integrals. The implementation combines equations of motion, remaining terms and parity constraints, and provides reliable checks. We describe the conventions and public interface through worked examples.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-03
DOI
https://doi.org/10.48550/arxiv.2611.04732
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

dSIBP: a package for generating IBP seeds for QFT in de Sitter spacetime

Yi-Xiao Tao, Jiaqi Chen
arXiv (Cornell University)
Particle physics theoretical and experimental studies
preprint

dSIBP: a package for generating IBP seeds for QFT in de Sitter spacetime

Yi-Xiao Tao, Jiaqi Chen
preprint en

Abstract

Recent studies show that in addition to the flat spacetime, Integration-by-parts (IBP) relations and differential equations can also provide a systematic approach to Feynman integrals in de Sitter spacetime. dSIBP is a Mathematica package for the automated construction of IBP systems and differential equations. For dS integral families with massive and massless propagators, it generates a complete set of IBP seeds, assembles linear systems for external reduction, and constructs differential equations for the reduced master integrals. The implementation combines equations of motion, remaining terms and parity constraints, and provides reliable checks. We describe the conventions and public interface through worked examples.

arXiv (Cornell University)
Particle physics theoretical and experimental studies
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