Packages

For more details, see: https://gitlab.com/multiloop-pku/amflow

This is a package implementing the auxiliary mass flow method, which can evaluate arbitrary Feynman loop integrals and/or phase-space integrations to high precision. The only input is the integration-by-parts reduction table for relevant integrals.

The package is based on the following papers:

• Xiao Liu and Yan-Qing Ma. AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow. [Comput. Phys. Commun. 283 (2023) 108565][arXiv: 2201.11669]

• Zhi-Feng Liu and Yan-Qing Ma. Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow. [Phys. Rev. D 105 (2022) 7, 074003][arXiv: 2201.11636]

• Zhi-Feng Liu and Yan-Qing Ma. Determining Feynman integrals with only input from linear algebra. [Phys. Rev. Lett. 129 (2022) 22, 222001][arXiv: 2201.11637]

• Xiao Liu and Yan-Qing Ma. Multiloop corrections for collider processes using auxiliary mass flow. [Phys. Rev. D 105 (2022) 5, L051503][arXiv: 2107.01864]

• Xiao Liu, Yan-Qing Ma, Wei Tao and Peng Zhang. Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow. [Chin. Phys. C 44 (2020) 1, 013115][arXiv: 2009.07987]

• Xiao Liu, Yan-Qing Ma and Chen-Yu Wang. A systematic and efficient method to compute multi-loop master integrals. [Phys. Lett. B 779 (2018) 353-357][arXiv: 1711.09572]