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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

An approach for an effective computer evaluation of one-loop multi-leg diagrams is proposed. It's main feature is the combined use of several systems - DIANA, FORM and MAPLE. As an application we consider the one-loop correction to Higgs…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Jegerlehner , O. Tarasov

The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Caffo , H. Czyz , E. Remiddi

We present Version 8 of the Feynman-diagram calculator FormCalc. New features include in particular significantly improved algebraic simplification as well as vectorization of the generated code. The Cuba Library, used in FormCalc, features…

High Energy Physics - Phenomenology · Physics 2015-06-17 B. Chokoufe Nejad , T. Hahn , J. -N. Lang , E. Mirabella

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

We invent an automated method for computing the divergent part of Feynman integrals in dimensional regularization. Our method exploits simplifications from four-dimensional integration-by-parts identities. Leveraging algorithms from the…

High Energy Physics - Theory · Physics 2023-09-19 Johannes Henn , Rourou Ma , Kai Yan , Yang Zhang

Stable reduction methods will be important in the evaluation of high-order perturbative diagrams appearing in QCD and mixed QCD-electroweak radiative corrections at the LHC. Differential reduction techniques are useful for relating…

Mathematical Physics · Physics 2015-03-17 S. A. Yost , V. V. Bytev , M. Yu. Kalmykov , B. A. Kniehl , B. F. L. Ward

Fine-grained image analysis (FGIA) is a longstanding and fundamental problem in computer vision and pattern recognition, and underpins a diverse set of real-world applications. The task of FGIA targets analyzing visual objects from…

Computer Vision and Pattern Recognition · Computer Science 2021-11-22 Xiu-Shen Wei , Yi-Zhe Song , Oisin Mac Aodha , Jianxin Wu , Yuxin Peng , Jinhui Tang , Jian Yang , Serge Belongie

Integration-by-parts (IBP) reduction of Feynman integrals to master integrals is a key computational bottleneck in precision calculations in high-energy physics. Traditional approaches based on the Laporta algorithm require solving large…

High Energy Physics - Phenomenology · Physics 2026-04-08 David Shih

The computation of higher order processes very often involves a large number of diagrams. In addition, it is in general not possible to solve the occurring integrals explicitly and expansions in small quantities have to be performed. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Steinhauser

Many multi-loop calculations make use of integration by parts relations to reduce the large number of complicated Feynman integrals that arise in such calculations to a simpler basis of master integrals. Recently, Gluza, Kajda, and Kosower…

High Energy Physics - Phenomenology · Physics 2015-06-03 Robert M. Schabinger

Integration-by-parts (IBP) identities and differential equations are the primary modern tools for the evaluation of high-order Feynman integrals. They are commonly derived and implemented in the momentum-space representation. We provide a…

High Energy Physics - Phenomenology · Physics 2023-10-09 Daniele Artico , Lorenzo Magnea

Differential equations are a powerful tool to tackle Feynman integrals. In this talk we discuss recent progress, where the method of differential equations has been applied to Feynman integrals which are not expressible in terms of multiple…

High Energy Physics - Phenomenology · Physics 2017-12-14 Luise Adams , Christian Bogner , Ekta Chaubey , Armin Schweitzer , Stefan Weinzierl

In this paper, we study systematically scalar one-loop two-, three-, and four-point Feynman integrals with complex internal masses. Our analytic results presented in this report are valid for both real and complex internal masses. The…

High Energy Physics - Phenomenology · Physics 2018-09-19 K. H. Phan , T. N. H. Pham

In a recent paper \cite{ft} a new powerful method to calculate Feynman diagrams was proposed. It consists in setting up a Taylor series expansion in the external momenta squared. The Taylor coefficients are obtained from the original…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Fleischer , O. V. Tarasov

We report on a new version of FeynCalc, a well-known Mathematica package for symbolic computations in quantum field theory and provide some explicit examples for using the software in different types of calculations.

High Energy Physics - Phenomenology · Physics 2016-12-21 Vladyslav Shtabovenko

An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincar\'e letters is presented. These quantities emerge in analytic single and multi--scale Feynman diagram calculations. To…

High Energy Physics - Theory · Physics 2021-06-02 J. Ablinger , J. Blümlein , C. Schneider

The Feynman integral can be seen as an attempt to relate, under certain circumstances, the quantum-information-theoretic separateness of mutually unbiased bases to causal proximity of the measuring processes.

Quantum Physics · Physics 2008-02-13 George Svetlichny

A new software package, the Fission Induced Electromagnetic Response (FIER) code, has been developed to analytically predict delayed $\gamma$-ray spectra following fission. FIER uses evaluated nuclear data and solutions to the Bateman…

We present a new method for the decomposition of multi-loop Euclidean Feynman integrals into quasi-finite Feynman integrals. These are defined in shifted dimensions with higher powers of the propagators, make explicit both infrared and…

High Energy Physics - Phenomenology · Physics 2017-04-21 Andreas von Manteuffel , Erik Panzer , Robert M. Schabinger
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