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A computer program has been developed which generates Feynman graphs automatically for scattering and decay processes in non-Abelian gauge theory of high-energy physics. A new acceleration method is presented for both generating and…

High Energy Physics - Theory · Physics 2009-10-28 Toshiaki Kaneko

A C-program DIANA (DIagram ANAlyser) for the automatic Feynman diagram evaluation is presented. It consists of two parts: the analyzer of diagrams and the interpreter of a special text manipulating language. This language is used to create…

High Energy Physics - Phenomenology · Physics 2011-01-25 M. Tentyukov , J. Fleischer

We present STR (Star-Triangle Relations), a Mathematica package designed to solve Feynman integrals by means of the method of uniqueness in any Euclidean spacetime dimension. We provide a set of tools to draw Feynman diagrams and interact…

High Energy Physics - Theory · Physics 2020-08-26 Michelangelo Preti

I describe a mathematical framework for the efficient processing of the very large sets of Feynman diagrams contributing to the scattering of many particles. I reexpress the established numerical methods for the recursive construction of…

High Energy Physics - Phenomenology · Physics 2023-07-21 Thorsten Ohl

In this article we introduce the supervised machine learning tool called Feyn. The simulation engine that powers this tool is called the QLattice. The QLattice is a supervised machine learning tool inspired by Richard Feynman's path…

We present the Vector Equivalence technique. This technique allows a simple and systematic calculating of Feynman diagrams involving massive fermions at the matrix element level. As its name suggests, the technique allows two Lorentz…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Yehudai

We present Version 9 of the Feynman-diagram calculator FormCalc and a flexible new suite of shell scripts and Mathematica packages based on FormCalc, which can be adapted and used as a template for calculations.

High Energy Physics - Phenomenology · Physics 2016-12-21 T. Hahn , S. Passehr , C. Schappacher

FeynRules is a Mathematica-based package which addresses the implementation of particle physics models, which are given in the form of a list of fields, parameters and a Lagrangian, into high-energy physics tools. It calculates the…

High Energy Physics - Phenomenology · Physics 2014-05-30 Adam Alloul , Neil D. Christensen , Celine Degrande , Claude Duhr , Benjamin Fuks

We introduce VennFan, a method for generating $n$-set Venn diagrams based on the polar coordinate projection of trigonometric boundaries, resulting in Venn diagrams that resemble a set of fan blades. Unlike most classical constructions, our…

Graphics · Computer Science 2026-01-13 Bálint Csanády

In the field of computer graphics, the use of vector graphics, particularly Scalable Vector Graphics (SVG), represents a notable development from traditional pixel-based imagery. SVGs, with their XML-based format, are distinct in their…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Tong Zhang , Haoyang Liu , Peiyan Zhang , Yuxuan Cheng , Haohan Wang

A new powerful method to calculate Feynman diagrams is proposed. It consists in setting up a Taylor series expansion in the external momenta squared (in general multivariable). The Taylor coefficients are obtained from the original diagram…

High Energy Physics - Phenomenology · Physics 2011-08-17 J. Fleischer , O. V. Tarasov

This paper is an introduction to the language of Feynman Diagrams. We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic expansions of Gaussian integrals can be written as a sum over a suitable…

Quantum Algebra · Mathematics 2013-09-30 Domenico Fiorenza , Riccardo Murri

This article describes the latest versions of the Mathematica packages FeynArts, FormCalc, and LoopTools for the generation and evaluation of one-loop diagrams.

High Energy Physics - Phenomenology · Physics 2011-04-20 T. Hahn

Scalable Vector Graphics (SVGs) are vital for modern image rendering due to their scalability and versatility. Previous SVG generation methods have focused on curve-based vectorization, lacking semantic understanding, often producing…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Juan A. Rodriguez , Abhay Puri , Shubham Agarwal , Issam H. Laradji , Pau Rodriguez , Sai Rajeswar , David Vazquez , Christopher Pal , Marco Pedersoli

The program FeynRules is a Mathematica package developed to facilitate the implementation of new physics theories into high-energy physics tools. Starting from a minimal set of information such as the model gauge symmetries, its particle…

High Energy Physics - Phenomenology · Physics 2014-06-13 Adam Alloul , Neil D. Christensen , Celine Degrande , Claude Duhr , Benjamin Fuks

In theories like SM or MSSM with a complex gauge group structure the complete set of Feynman diagrams contributed to a particular physics process can be splited to exact gauge invariant subsets. Arguments and examples given in the review…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. E. Boos

Graph Neural Networks (GNNs) have achieved significant success across various applications. However, their complex structures and inner workings can be challenging for non-AI experts to understand. To address this issue, this study presents…

Human-Computer Interaction · Computer Science 2025-12-18 Yilin Lu , Chongwei Chen , Yuxin Chen , Kexin Huang , Marinka Zitnik , Qianwen Wang

Scalable Vector Graphics (SVG) is a code-based representation for 2D visuals. Leveraging recent advances in large language models (LLMs), we study text-to-SVG generation and address two persistent gaps: weak generalization and poor…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Hanqi Chen , Zhongyin Zhao , Ye Chen , Zhujin Liang , Bingbing Ni

A set of programs is presented for automatically generating and calculating Feynman diagrams. Diagrams are generated with FeynArts, then algebraically simplified using a combination of Mathematica and FORM implemented in the package…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hahn

We introduce a novel compositional description of Feynman diagrams, with well-defined categorical semantics as morphisms in a dagger-compact category. Our chosen setting is suitable for infinite-dimensional diagrammatic reasoning,…

Quantum Physics · Physics 2022-05-03 Razin A. Shaikh , Stefano Gogioso