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In this article, we present the package {\tt Blade} as the first implementation of the block-triangular form improved Feynman integral reduction method. The block-triangular form has orders of magnitude fewer equations compared to the plain…

High Energy Physics - Phenomenology · Physics 2025-02-07 Xin Guan , Xiao Liu , Yan-Qing Ma , Wen-Hao Wu

New developments concerning the extension of the recently introduced Feynman diagram analyser DIANA are presented.

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Fleischer , M. Tentyukov

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $\gamma$-matrixes,…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Poghosyan

A C-program DIANA (DIagram ANAlyser) for the automatic Feynman diagram evaluation is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Tentyukov , J. Fleischer

This article describes three Mathematica packages for the automatic calculation of one-loop Feynman diagrams: the diagrams are generated with FeynArts, algebraically simplified with FormCalc, and finally evaluated numerically using the…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hahn

Visual design is an essential application of state-of-the-art multi-modal AI systems. Improving these systems requires high-quality vision-language data at scale. Despite the abundance of internet image and text data, knowledge-rich and…

Machine Learning · Computer Science 2026-03-16 Zixin Wen , Yifu Cai , Kyle Lee , Sam Estep , Josh Sunshine , Aarti Singh , Yuejie Chi , Wode Ni

Perturbative nonlinear optical spectroscopies are powerful methods to understand the dynamics of excitonic and other condensed phase systems. Feynman diagrams have long provided the essential tool to understand and interpret experimental…

Chemical Physics · Physics 2021-01-21 Peter A. Rose , Jacob J. Krich

In one of his books [$\textit{The Feynmann Lectures on Physics}$, vol. 2], Feynman presents a didactic approach to introduce basic ideas about tensors, using, as a first example, the dependence of the induced polarization of a crystal on…

Physics Education · Physics 2022-07-06 Lucas Queiroz , Edson C. M. Nogueira , Danilo T. Alves

Feynman rules for the Standard Model including non-linear gauges are derived and implemented in the FeynArts package. The calculations using FeynArts with the new rules show that tree-level amplitudes are gauge invariant and that…

High Energy Physics - Phenomenology · Physics 2007-10-02 Jurgis Pasukonis

Automatically synthesizing figures from text captions is a compelling capability. However, achieving high geometric precision and editability requires representing figures as graphics programs in languages like TikZ, and aligned training…

Computation and Language · Computer Science 2025-08-15 Jonas Belouadi , Eddy Ilg , Margret Keuper , Hideki Tanaka , Masao Utiyama , Raj Dabre , Steffen Eger , Simone Paolo Ponzetto

New developments concerning the extension of the Feynman diagram analyzer DIANA are presented. We discuss new graphic facilities, application of DIANA to processes with Majorana fermions and different approaches to automation of momenta…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Tentyukov , J. Fleischer

We present a simple technique that allows to generate Feynman diagrams for vector models with interactions of order $2n$ and similar models (Gross-Neveu, Thirring model), using a bootstrap equation that uses only the free field value of the…

High Energy Physics - Theory · Physics 2016-09-06 Sigurd Schelstraete , Henri Verschelde

Large language models (LLMs) are increasingly used to assist scientists across diverse workflows. A key challenge is generating high-quality figures from textual descriptions, often represented as TikZ programs that can be rendered as…

Artificial Intelligence · Computer Science 2026-03-26 Christian Greisinger , Steffen Eger

The LanHEP program for Feynman rules generation in momentum representation is presented. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with summation…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Semenov

We present a new version 3.2 of the LanHEP software package. New features include UFO output, color sextet particles and new substutution techniques which allow to define new routines.

Computational Physics · Physics 2014-12-17 A. Semenov

Quantum corrections significantly influence the quantities observed in modern particle physics. The corresponding theoretical computations are usually quite lengthy which makes their automation mandatory. This review reports on the current…

High Energy Physics - Phenomenology · Physics 2011-08-17 R. Harlander , M. Steinhauser

The derivation of the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially for highly improved actions such as HISQ. This task is, however, both important and particularly suitable for…

High Energy Physics - Lattice · Physics 2010-12-17 A. Hart , G. M. von Hippel , R. R. Horgan , E. H. Müller

We present FORM 5, a major release of the symbolic-manipulation system FORM. Version 5 introduces an integrated diagram generator, based on the GRACE graph-generator, to produce Feynman diagrams directly from FORM scripts. This release also…

High Energy Physics - Phenomenology · Physics 2026-01-29 J. Davies , T. Kaneko , C. Marinissen , T. Ueda , J. A. M. Vermaseren

We introduce a model that learns to convert simple hand drawings into graphics programs written in a subset of \LaTeX. The model combines techniques from deep learning and program synthesis. We learn a convolutional neural network that…

Artificial Intelligence · Computer Science 2018-10-30 Kevin Ellis , Daniel Ritchie , Armando Solar-Lezama , Joshua B. Tenenbaum

xloops is a program package that calculates Feynman diagrams by using computer algebra systems. In this paper it is shown which problems to be solved by computer algebra arise during such calculations, and how this problems are handled in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lars Brucher