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A major update of the program FeynGame is introduced. One of its main new functionalities is to visualize Feynman graphs generated by QGRAF. The QGRAF output can be either pasted into the FeynGame canvas for individual graphs, or the whole…

High Energy Physics - Phenomenology · Physics 2026-02-24 L. Bündgen , R. V. Harlander , S. Y. Klein , M. C. Schaaf

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…

High Energy Physics - Phenomenology · Physics 2026-05-11 Luis Gil , Javier López Miras , Adrián Moreno-Sánchez

We present the manual for FeynMaster 2.1, a multitasking software for particle physics studies. This new version includes additional functions and is compatible with recent versions of related software. It can be downloaded in…

High Energy Physics - Phenomenology · Physics 2025-04-03 Duarte Fontes , Jorge C. Romão

This paper describes a new method for low rank kernel approximation called IKA. The main advantage of IKA is that it produces a function $\psi(x)$ defined as a linear combination of arbitrarily chosen functions. In contrast the…

Machine Learning · Computer Science 2018-09-06 Matteo Ronchetti

This talk reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the simplest case this is a complex curve of genus zero (aka the…

High Energy Physics - Theory · Physics 2024-01-15 Robin Marzucca , Andrew J. McLeod , Ben Page , Sebastian Pögel , Xing Wang , Stefan Weinzierl

We present a new tool for editing Feynman diagrams as well as several extensions in version 5.3 of the package FormCalc for the calculation of Feynman diagrams.

High Energy Physics - Phenomenology · Physics 2009-04-14 T. Hahn , J. I. Illana

In this paper we present FeynRules, a new Mathematica package that facilitates the implementation of new particle physics models. After the user implements the basic model information (e.g. particle content, parameters and Lagrangian),…

High Energy Physics - Phenomenology · Physics 2009-08-21 Neil D. Christensen , Claude Duhr

Building on the idea of numerically integrating differential equations satisfied by Feynman integrals, we propose a novel strategy for handling branch cuts within a numerical framework. We develop an integrator capable of evaluating a basis…

High Energy Physics - Phenomenology · Physics 2025-07-18 Pau Petit Rosàs , William J. Torres Bobadilla

Rules offer an invaluable combination of predictive and descriptive capabilities. Our package for rule-based data analysis, RuleKit, has proven its effectiveness in classification, regression, and survival problems. Here we present its…

Machine Learning · Computer Science 2025-04-30 Adam Gudyś , Cezary Maszczyk , Joanna Badura , Adam Grzelak , Marek Sikora , Łukasz Wróbel

We present a new program package for calculating one-loop Feynman integrals, based on a new method avoiding Feynman parametrization and the contraction due to Passarino and Veltman. The package is calculating one-, two- and three-point…

High Energy Physics - Phenomenology · Physics 2011-04-20 L. Brücher , J. Franzkowski , D. Kreimer

FeynGame is an open-source software tool to draw Feynman diagrams, but also to get acquainted with their structure. This article reports on a number of new features which have been added to FeynGame since its first release. These include…

High Energy Physics - Phenomenology · Physics 2024-01-24 Robert Harlander , Sven Yannick Klein , Magnus Schaaf

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…

Computational Physics · Physics 2018-01-30 Vladyslav Shtabovenko

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…

High Energy Physics - Phenomenology · Physics 2025-12-02 Alexander V. Smirnov , Mao Zeng

We find that all Feynman integrals (FIs), having any number of loops, can be completely determined once linear relations between FIs are provided. Therefore, FIs computation is conceptually changed to a linear algebraic problem. Examples up…

High Energy Physics - Phenomenology · Physics 2022-12-07 Zhi-Feng Liu , Yan-Qing Ma

Deriving a comprehensive set of reduction rules for Feynman integrals has been a longstanding challenge. In this paper, we present a proposed solution to this problem utilizing generating functions of Feynman integrals. By establishing and…

High Energy Physics - Phenomenology · Physics 2023-06-29 Xin Guan , Xiang Li , Yan-Qing Ma

A Mathematica implementation of the program LERG-I is presented that performs the reduction of tensor integrals, encountered in one-loop Feynman diagram calculations, to scalar integrals. The program was originally coded in REDUCE and in…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robin G. Stuart

We describe three algorithms for computer-aided symbolic multi-loop calculations that facilitated some recent novel results. First, we discuss an algorithm to derive the canonical form of an arbitrary Feynman integral in order to facilitate…

High Energy Physics - Phenomenology · Physics 2015-06-03 Alexey Pak

Systems of integration-by-parts identities play an important role in simplifying the higher-loop Feynman integrals that arise in quantum field theory. Solving these systems is equivalent to reducing integrals containing numerator products…

High Energy Physics - Phenomenology · Physics 2018-07-18 David A. Kosower

A method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed by…

High Energy Physics - Phenomenology · Physics 2019-01-29 Tarasov O.

We present a new version 3.1 of the LanHEP software package. New features of the program include tools for the models with extra dimensions, implementation of the particle classes for FeynArts output and using templates with LanHEP…

High Energy Physics - Phenomenology · Physics 2010-05-12 A. Semenov