AIR swMATH ID: 40028 Software Authors: C. Anastasiou, A. Lazopoulos Description: Automatic Integral Reduction for Higher Order Perturbative Calculations. We present a program for the reduction of large systems of integrals to master integrals. The algorithm was first proposed by Laporta; in this paper, we implement it in MAPLE. We also develop two new features which keep the size of intermediate expressions relatively small throughout the calculation. The program requires modest input information from the user and can be used for generic calculations in perturbation theory. Homepage: https://arxiv.org/abs/hep-ph/0404258 Dependencies: Maple Related Software: Reduze; FIRE; LiteRed; FORM; FIRE5; FIESTA; Kira; Mincer; Cuba; CutTools; Forcer; Azurite; FIESTA 3; SecDec; FeynArts; MATAD; Mathematica; HyperInt; MBresolve; MBasymptotics Referenced in: 33 Publications all top 5 Referenced by 56 Authors 5 Smirnov, Aleksandr Vladimirovich 4 Zhang, Yang 3 Gehrmann, Thomas 3 Ruijl, Ben 3 Smirnov, Vladimir A. 3 Studerus, C. 2 Anastasiou, Charalampos 2 Badger, Simon D. 2 Boels, Rutger H. 2 Bogner, Christian 2 Frellesvig, Hjalte 2 Furlan, Elisabetta 2 Georgoudis, Alessandro 2 Henn, Johannes M. 2 Herzog, Franz 2 Huber, Tobias 2 Yang, Gang 1 Abreu, Samuel 1 Ahmed, Taushif 1 Bernreuther, Werner 1 Bitoun, Thomas 1 Böhm, Janko 1 Bonciani, Roberto 1 Boughezal, Radja 1 Capatti, Zeno 1 Caron-Huot, Simon 1 Dekkers, Oliver 1 Feng, Feng 1 Ferroglia, Andrea 1 Gavin, Ryan 1 Glover, E. W. N. 1 Heinrich, Gudrun 1 Hirschi, Valentin 1 Ikizlerli, N. 1 Kant, Philipp 1 Kermanschah, Dario 1 Klausen, René Pascal 1 Kniehl, Bernd A. 1 Larsen, Kasper J. 1 Lazopoulos, Achilleas 1 Mathews, Prakash 1 Novotný, Jiří 1 Page, Ben 1 Panzer, Erik 1 Pelloni, Andrea 1 Petukhov, Alexey V. 1 Rana, Narayan 1 Ravindran, Varadarajan 1 Schabinger, Robert M. 1 Schönemann, Hans 1 Tancredi, Lorenzo 1 Trenkel, Maike K. 1 Vaško, Petr 1 Vermaseren, Jos A. M. 1 Von Manteuffel, Andreas 1 Zeng, Mao all top 5 Referenced in 6 Serials 21 Journal of High Energy Physics 5 Computer Physics Communications 3 Nuclear Physics. B 2 Letters in Mathematical Physics 1 Physics Letters. B 1 Physics Reports all top 5 Referenced in 10 Fields 33 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 1 Number theory (11-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Referencing Publications by Year