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cff-version: 1.2.0
message: >-
If you use this software in published research, please cite BOTH the
original AMFlow paper (for the algorithm) AND this repository (for the
C++ implementation). The algorithm is due to Liu and Ma (see the
reference below); this repository contributes only the C++17
reimplementation and its test/benchmark harness.
title: "AMFlow.cpp"
abstract: >-
A C++17 reimplementation of the auxiliary-mass-flow algorithm
(AMFlow) for multi-loop Feynman integrals. Re-implements the
algorithms originally introduced by Liu and Ma in the Mathematica
package AMFlow (https://gitlab.com/multiloop-pku/amflow).
type: software
license: MIT
version: 1.1.0
date-released: 2026-05-12
doi: "10.5281/zenodo.20087172"
url: "https://github.com/chang18/amflow-cpp"
repository-code: "https://github.com/chang18/amflow-cpp"
identifiers:
- type: doi
value: "10.5281/zenodo.20087172"
description: "Concept DOI (always resolves to the latest version)"
- type: doi
value: "10.5281/zenodo.20087173"
description: "Version DOI (v1.0.0)"
authors:
- name: "AMFlow.cpp contributors"
email: "3250800970@qq.com"
contact:
- name: "AMFlow.cpp maintainer"
email: "3250800970@qq.com"
note: >-
The C++17 implementation in this repository was developed primarily
by AI coding agents under the direction of the maintainer, with
every behavioural change gated by numerical-parity verification
against the upstream Mathematica reference.
keywords:
- "Feynman integrals"
- "auxiliary mass flow"
- "multi-loop"
- "C++"
- "AMFlow"
references:
- type: article
authors:
- family-names: Liu
given-names: Xiao
- family-names: Ma
given-names: Yan-Qing
title: "AMFlow: A Mathematica package for Feynman integrals computation via auxiliary mass flow"
journal: "Computer Physics Communications"
volume: 283
year: 2023
doi: "10.1016/j.cpc.2022.108565"
url: "https://doi.org/10.1016/j.cpc.2022.108565"
notes: "Original algorithm and Mathematica implementation."
- type: software
authors:
- family-names: Liu
given-names: Xiao
- family-names: Ma
given-names: Yan-Qing
title: "AMFlow (Mathematica package)"
url: "https://gitlab.com/multiloop-pku/amflow"
notes: "Upstream Mathematica reference implementation."