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AMFlow

swMATH ID:	41194
Software Authors:	Liu, Xiao; Ma, Yan-Qing
Description:	AMFlow: a Mathematica Package for Feynman integrals computation via Auxiliary Mass Flow. AMFlow is a Mathematica package to numerically calculate dimensionally regularized Feynman integrals via the recently proposed auxiliary mass flow method, which sets up and solves differential equations of Feynman integrals with respect to an auxiliary mass parameter. Differential equations can be automatically computed using existed reduction packages. Boundary conditions can be calculated within the auxiliary mass flow framework. The differential equations are then solved numerically using generalized power series expansion method combining with numerical fit strategy. The main usages of the AMFlow package are discussed through an explicit example of double-box family involved in two-loop tt¯ production.
Homepage:	https://arxiv.org/abs/2201.11669
Source Code:	https://gitlab.com/multiloop-pku/amflow
Dependencies:	Mathematica
Keywords:	High Energy Physics; arXiv_hep-ph; arXiv_hep-th; AMFlow; Mathematica Package; Feynman integrals; Auxiliary Mass Flow
Related Software:	LiteRed; Kira; DiffExp; FiniteFlow; FIRE; pySecDec; Reduze; SeaSyde; FIESTA; Fuchsia; FORM; PolyLogTools; MultivariateApart; epsilon; FireFly; Libra; GiNaC; AIR; PentagonFunctions; Mathematica
Cited in:	35 Documents

1 Publication describing the Software	Year
AMFlow: a Mathematica Package for Feynman integrals computation via Auxiliary Mass Flow arXiv Xiao Liu, Yan-Qing Ma	2022

all top 5

5	Chaubey, Ekta
3	Badger, Simon D.
3	Chen, Jiaqi
2	Becchetti, Matteo
2	Feng, Bo
2	Gasparotto, Federico
2	Henn, Johannes M.
2	Jiang, Xuhang
2	Liu, Xiao
2	Ma, Yan-Qing
2	Marzucca, Robin
2	Rana, Narayan
2	Weinzierl, Stefan
2	Wu, Zihao
2	Xu, Xiaofeng
2	Yang, Li Lin
2	Zhang, Yang
2	Zoia, Simone
1	Ahmed, Taushif
1	Ajjath, Abdul Hameed
1	Armadillo, Tommaso
1	Böhm, Janko
1	Bonciani, Roberto
1	Brunello, Giacomo
1	Buccioni, Federico
1	Capatti, Zeno
1	Chestnov, Vsevolod
1	Crisanti, Giulio
1	Datta, Sudeepan
1	De Angelis, Stefano
1	Devoto, Simone
1	Febres Cordero, F.
1	Feng, Tai-Fu
1	Fontana, Gaia
1	Gehrmann, Thomas
1	Guan, Xin
1	Hasan, Syed Mehedi
1	Heinrich, Georg
1	Hirschi, Valentin
1	Hönemann, Ina
1	Jiang, Yunfeng
1	Kaur, Mandeep
1	Kerner, Martin
1	Kreer, Philipp Alexander
1	Kryś, Jakub
1	Lin, Guanda
1	Long, Ming-Ming
1	Luo, Mingxing
1	Ma, Chichuan
1	Ma, Rourou
1	Magerya, Vitaly
1	Mastrolia, Pierpaolo
1	Matijašić, Antonela
1	Matsubara-Heo, Saiei-Jaeyeong
1	Miczajka, Julian
1	Moodie, Ryan
1	Munch, Henrik J.
1	Page, Ben
1	Peyton Jones, Simon L.
1	Pinol, Lucas
1	Pratt, Elizabeth
1	Ravindran, Varadarajan
1	Reina, Laura
1	Renaux-Petel, Sébastien
1	Ruijl, Ben
1	Sarandrea, Francesco
1	Sarkar, Ratan
1	Sattelberger, Anna-Laura
1	Schlenk, Johannes
1	Schönwald, Kay
1	Shao, Hua-Sheng
1	Shivaji, Ambresh
1	Syrrakos, Nikolaos
1	Takayama, Nobuki
1	Tancredi, Lorenzo
1	Vicini, Alessandro
1	Werth, Denis
1	Wu, Quan-feng
1	Wu, Yu
1	Xu, Hefeng
1	Yang, Gang
1	Yang, Tong-Zhi
1	Zeng, Mao
1	Zhang, Haibin
1	Zhao, Jingbang
1	Zhu, Hua Xing

28	Journal of High Energy Physics
5	Computer Physics Communications
1	Classical and Quantum Gravity
1	Letters in Mathematical Physics

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33	Quantum theory (81-XX)
4	Relativity and gravitational theory (83-XX)
2	Special functions (33-XX)
2	Algebraic topology (55-XX)
2	Numerical analysis (65-XX)
2	Computer science (68-XX)
2	Mechanics of particles and systems (70-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Algebraic geometry (14-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Partial differential equations (35-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Approximations and expansions (41-XX)
1	Functional analysis (46-XX)