Kira swMATH ID: 34816 Software Authors: Maierhöfer, P.; Usovitsch, J.; Uwer, P. Description: Kira - A Feynman integral reduction program. n this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loop integrals—appearing in quantum field theoretic calculations—to a set of master integrals. We extend existing approaches by using an additional algorithm based on modular arithmetic to remove linearly dependent equations from the system of equations arising from integration-by-parts and Lorentz identities. Furthermore, the algebraic manipulations required in the back substitution are optimized. We describe in detail the implementation as well as the usage of the program. In addition, we show benchmarks for concrete examples and compare the performance to Reduze 2 and FIRE 5. In our benchmarks we find that Kira is highly competitive with these existing tools. Homepage: https://arxiv.org/abs/1705.05610 Related Software: Reduze; LiteRed; FIRE; FIRE5; Azurite; FIESTA; FORM; pySecDec; AIR; Fuchsia; SecDec; FireFly; HyperInt; FiniteFlow; epsilon; CutTools; AMBRE; Fermat; Mathematica; Axodraw Cited in: 20 Publications all top 5 Cited by 62 Authors 3 Mastrolia, Pierpaolo 3 Mizera, Sebastian 3 Zeng, Mao 3 Zhang, Yang 2 Abreu, Samuel 2 Böhm, Janko 2 Frellesvig, Hjalte 2 Gasparotto, Federico 2 Georgoudis, Alessandro 2 Laporta, Stefano 2 Mandal, Manoj K. 2 Mattiazzi, Luca 2 Page, Ben 1 Ahmed, Taushif 1 Artz, Johannes 1 Badger, Simon D. 1 Bendle, Dominik 1 Bern, Zvi 1 Bitoun, Thomas 1 Bogner, Christian 1 Brønnum-Hansen, Christian 1 Capatti, Zeno 1 Caron-Huot, Simon 1 Cheung, Clifford 1 Chicherin, Dmitry 1 De Laurentis, Giuseppe 1 Decker, Wolfram 1 Dhani, Prasanna K. 1 Dixon, Lance J. 1 Harlander, Robert V. 1 Hartanto, Heribertus Bayu 1 Heinrich, Gudrun 1 Henn, Johannes M. 1 Herrmann, Enrico 1 Hidding, Martijn 1 Hirschi, Valentin 1 Kermanschah, Dario 1 Klausen, René Pascal 1 Lange, Fabian 1 Larsen, Kasper J. 1 Maierhöfer, P. 1 Maître, Daniel 1 Moriello, Francesco 1 Neumann, Tobias 1 Panzer, Erik 1 Pelloni, Andrea 1 Peraro, Tiziano 1 Pfreundt, Franz-Josef 1 Prausa, Mario 1 Rahn, Mirko 1 Roiban, Radu 1 Ruijl, Ben 1 Schönemann, Hans 1 Shen, Chia-Hsien 1 Smirnov, Aleksandr Vladimirovich 1 Smirnov, Vladimir A. 1 Solon, Mikhail P. 1 Usovitsch, J. 1 Uwer, Peter 1 Wasser, Pascal 1 Weinzierl, Stefan 1 Zoia, Simone all top 5 Cited in 6 Serials 15 Journal of High Energy Physics 1 Computer Physics Communications 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Physics Reports 1 Unitext for Physics all top 5 Cited in 9 Fields 20 Quantum theory (81-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-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) Citations by Year