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相关论文: Integral Reduction with Kira 2.0 and Finite Field …

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We present the Feynman integral reduction program Kira 1.2 and describe its new features and other changes w.r.t. the previous versions. The main new features include a much faster equation generator, more flexible seed specification…

高能物理 - 唯象学 · 物理学 2018-12-05 Philipp Maierhöfer , Johann Usovitsch

Last year we released version 2.0 of the Feynman integral reduction program Kira. In this contribution we first report on changes and new features since then and, secondly, on new features for upcoming releases.

高能物理 - 唯象学 · 物理学 2023-02-23 Fabian Lange , Philipp Maierhöfer , Johann Usovitsch

We present version 3 of Kira, a Feynman integral reduction program for high-precision calculations in quantum field theory and gravitational-wave physics. Building on previous versions, Kira 3 introduces optimized seeding and equation…

高能物理 - 唯象学 · 物理学 2025-05-27 Fabian Lange , Johann Usovitsch , Zihao Wu

The reduction of Feynman integrals to a basis of master integrals plays a crucial role for many high-precision calculations and Kira is one of the leading tools for this task. In these proceedings we discuss some of the new features and…

高能物理 - 唯象学 · 物理学 2024-07-02 Fabian Lange , Johann Usovitsch , Zihao Wu

In 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…

高能物理 - 唯象学 · 物理学 2018-04-30 Philipp Maierhoefer , Johann Usovitsch , Peter Uwer

We introduce a new version v1.1 of NeatIBP. In this new version, a Kira interface is included. It allows the user to reduce the integration-by-parts (IBP) identity systems generated by NeatIBP using Kira in a highly automated way. This new…

高能物理 - 唯象学 · 物理学 2025-03-03 Zihao Wu , Janko Böhm , Rourou Ma , Johann Usovitsch , Yingxuan Xu , Yang Zhang

In this paper the C++ version of FIRE is presented - a powerful program performing Feynman integral reduction to master integrals. All previous versions used only Wolfram Mathematica, the current version mostly uses Wolfram Mathematica as a…

高能物理 - 唯象学 · 物理学 2015-05-20 Alexander V. Smirnov

FIRE is a program which performs integration-by-parts (IBP) reduction of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robert Lewis to simplify rational functions. We present an…

高能物理 - 唯象学 · 物理学 2025-07-17 Alexander V. Smirnov , Mao Zeng

FIRE7 is a major update to the FIRE program for integration-by-parts (IBP) reduction of Feynman integrals. A large part of improvements is related to the automatic reduction and reconstruction with the modular arithmetic approach, while the…

高能物理 - 唯象学 · 物理学 2025-12-02 Alexander V. Smirnov , Mao Zeng

Feynman integral reduction by means of integration-by-parts identities is a major power gadget in a theorist toolbox indispensable for calculation of multiloop quantum effects relevant for particle phenomenology and formal theory alike. An…

高能物理 - 唯象学 · 物理学 2024-02-13 A. V. Belitsky , A. A. Kokosinskaya , A. V. Smirnov , V. V. Voevodin , M. Zeng

FIRE is a program performing reduction of Feynman integrals to master integrals. The C++ version of FIRE was presented in 2014. There have been multiple changes and upgrades since then including the possibility to use multiple computers for…

高能物理 - 唯象学 · 物理学 2021-02-23 A. V. Smirnov , F. S. Chukharev

In this note we report on the new version of FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and algebraic expressions in quantum field theory. The main features of version 9.0 are: improved tensor…

高能物理 - 唯象学 · 物理学 2018-01-30 Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm, the s-bases algorithm, region-bases and integrating…

高能物理 - 唯象学 · 物理学 2008-11-26 A. V. Smirnov

We present KaRMMa 2.0, an updated version of the mass map reconstruction code introduced in Fiedorowicz et al. (2022). KaRMMa is a full-sky Bayesian algorithm for reconstructing weak lensing mass maps from shear data. It forward-models the…

宇宙学与河外天体物理 · 物理学 2022-10-25 Pier Fiedorowicz , Eduardo Rozo , Supranta S. Boruah

Integration-by-parts (IBP) reduction is one of the essential steps in evaluating Feynman integrals. A modern approach to IBP reduction uses modular arithmetic evaluations with parameters set to numerical values at sample points, followed by…

高能物理 - 唯象学 · 物理学 2025-05-27 Alexander Smirnov , Mao Zeng

New features of the Mathematica code FIRE are presented. In particular, it can be applied together with the recently developed code LiteRed by Lee in order to provide an integration by parts reduction to master integrals for quite…

高能物理 - 唯象学 · 物理学 2015-06-15 A. V. Smirnov , V. A. Smirnov

The program FIESTA has been completely rewritten. Now it can be used not only as a tool to evaluate Feynman integrals numerically, but also to expand Feynman integrals automatically in limits of momenta and masses with the use of sector…

高能物理 - 唯象学 · 物理学 2011-01-17 A. V. Smirnov , V. A. Smirnov , M. Tentyukov

We present the main improvements and new features in version $\texttt{2.0}$ of the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the interpolation of rational functions. This includes algorithmic improvements, e.g. a hybrid…

数学软件 · 计算机科学 2021-05-05 Jonas Klappert , Sven Yannick Klein , Fabian Lange

We present SIRENA, a Python and C++ implementation of the Laporta algorithm for the automatic reduction of multi-loop sum-integrals via integration-by-parts identities. The method builds on established techniques for zero-temperature…

高能物理 - 唯象学 · 物理学 2026-05-11 Luis Gil , Javier López Miras , Adrián Moreno-Sánchez

We present a new interface called FeynHelpers that connects FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and calculations in quantum field theory (QFT) to Package-X and FIRE. The former provides…

计算物理 · 物理学 2018-01-30 Vladyslav Shtabovenko
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