TL;DR
SubTropica is a Mathematica package that automates symbolic integration of multi-polylogarithmic integrals using tropical geometry, with applications to Feynman integrals and an AI-driven database.
Contribution
It introduces a new tropical subtraction scheme for linearly-reducible Euler integrals and provides an integrated package with an online Feynman integral database.
Findings
Successfully applied to various physics problems
Automates complex integral calculations
Provides a user-friendly online database
Abstract
We present SubTropica, a Mathematica package that performs symbolic integration of multi-polylogarithmic integrals using recent advances in tropical geometry. It focuses on the class of linearly-reducible Euler integrals, such as Feynman integrals, and expands them using a tropical subtraction scheme. The engine behind it is HyperIntica, a native Mathematica package for hyperlogarithm integration that can be used independently. This paper documents both packages and illustrates their usage on examples from across different physics applications. Additionally, we introduce an AI-driven library of Feynman integrals, which catalogs diagrams discussed in the literature and serves as a database for computed results. Its online version is available at: https://subtropi.ca and features a graphical user interface for diagram input and retrieval of records.
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