{"paper":{"title":"Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"hep-ph","authors_text":"O. Gituliar, V. Magerya","submitted_at":"2017-01-16T12:52:27Z","abstract_excerpt":"We present $\\text{Fuchsia}$ $-$ an implementation of the Lee algorithm, which for a given system of ordinary differential equations with rational coefficients $\\partial_x\\,\\mathbf{f}(x,\\epsilon) = \\mathbb{A}(x,\\epsilon)\\,\\mathbf{f}(x,\\epsilon)$ finds a basis transformation $\\mathbb{T}(x,\\epsilon)$, i.e., $\\mathbf{f}(x,\\epsilon) = \\mathbb{T}(x,\\epsilon)\\,\\mathbf{g}(x,\\epsilon)$, such that the system turns into the epsilon form: $\\partial_x\\, \\mathbf{g}(x,\\epsilon) = \\epsilon\\,\\mathbb{S}(x)\\,\\mathbf{g}(x,\\epsilon)$, where $\\mathbb{S}(x)$ is a Fuchsian matrix. A system of this form can be trivial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04269","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}