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This paper describes a new algorithm for Monte Carlo integration, based on the Field Estimator for Arbitrary Spaces (FiEstAS). The algorithm is discussed in detail, and its performance is evaluated in the context of Bayesian analysis, with…

Astrophysics · Physics 2009-11-13 Yago Ascasibar

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…

High Energy Physics - Phenomenology · Physics 2021-02-23 A. V. Smirnov , F. S. Chukharev

We present MadAnalysis 5, an analysis package dedicated to phenomenological studies of simulated collisions occurring in high-energy physics experiments. Within this framework, users are invited, through a user-friendly Python interpreter,…

High Energy Physics - Phenomenology · Physics 2015-05-27 Eric Conte , Béranger Dumont , Benjamin Fuks , Thibaut Schmitt

MadAnalysis 5 is a new Python/C++ package facilitating phenomenological analyses that can be performed in the framework of Monte Carlo simulations of collisions to be produced in high-energy physics experiments. It allows, by means of a…

High Energy Physics - Phenomenology · Physics 2014-06-16 Eric Conte , Benjamin Fuks

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…

High Energy Physics - Phenomenology · Physics 2025-05-27 Fabian Lange , Johann Usovitsch , Zihao Wu

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

Summary: GeneFEAST, implemented in Python, is a gene-centric functional enrichment analysis summarisation and visualisation tool that can be applied to large functional enrichment analysis (FEA) results arising from upstream FEA pipelines.…

Quantitative Methods · Quantitative Biology 2025-03-07 Avigail Taylor , Valentine M Macaulay , Anand K Maurya , Matthieu J Miossec , Francesca M Buffa

This work investigates in detail the performance and advantages of a new quantum Monte Carlo integrator, dubbed Quantum Fourier Iterative Amplitude Estimation (QFIAE), to numerically evaluate for the first time loop Feynman integrals in a…

High Energy Physics - Phenomenology · Physics 2024-11-20 Jorge J. Martínez de Lejarza , Leandro Cieri , Michele Grossi , Sofia Vallecorsa , Germán Rodrigo

In a recent article [1], the FEAST algorithm has been presented as a general purpose eigenvalue solver which is ideally suited for addressing the numerical challenges in electronic structure calculations. Here, FEAST is presented beyond the…

Materials Science · Physics 2015-05-28 Alan Levin , Deyin Zhang , Eric Polizzi

The FEAST algorithm, due to Polizzi, is a typical contour-integral based eigensolver for computing the eigenvalues, along with their eigenvectors, inside a given region in the complex plane. It was formulated under the circumstance that the…

Numerical Analysis · Mathematics 2016-12-13 Guojian Yin

We present a new FORM program for analytically evaluating four-loop massless propagator-type Feynman integrals in an efficient way. Our program Forcer implements parametric reductions of the aforementioned class of Feynman integrals into a…

High Energy Physics - Phenomenology · Physics 2016-07-26 T. Ueda , B. Ruijl , J. A. M. Vermaseren

We present new versions of the Mathematica package FeynCalc and the FeynHelpers add-on that represent an important contribution to the collection of public codes for semi-automatic evaluation of multiloop Feynman diagrams. FeynHelpers…

High Energy Physics - Phenomenology · Physics 2025-12-24 Vladyslav Shtabovenko

This is the manual for the version 2 of HackAnalysis, a powerful, lightweight, versatile and, most importantly, hackable, recasting tool. New features in this version include: compressed event format storage for ultra-fast development;…

High Energy Physics - Phenomenology · Physics 2024-06-17 Mark D. Goodsell

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…

Mathematical Software · Computer Science 2021-05-05 Jonas Klappert , Sven Yannick Klein , Fabian Lange

For the investigation of higher order Feynman integrals, potentially with tensor structure, it is highly desirable to have numerical methods and automated tools for dedicated, but sufficiently 'simple' numerical approaches. We elaborate two…

High Energy Physics - Phenomenology · Physics 2011-03-03 Janusz Gluza , Krzysztof Kajda , Tord Riemann , Valery Yundin

We present a new method for the numerical evaluation of loop integrals which is based on the Feynman Tree Theorem. The loop integrals are replaced by phase-space integration over fictitious extra on-shell particles. This integration can be…

High Energy Physics - Phenomenology · Physics 2009-12-18 Wolfgang Kilian , Tobias Kleinschmidt

Evaluation of a wide variety of Feynman diagrams with multi-loop integrals and physical parameters and its comparison with high energy experiments are expected to investigate new physics beyond the Standard Model. We have been developing a…

High Energy Physics - Phenomenology · Physics 2018-03-21 H Daisaka , N Nakasato , T Ishikawa , F Yuasa , K Nitadori

We present FUEL (Fractional Universal Evaluation Library), a C++ library for performing rational function arithmetic with a flexible choice of third-party computer algebra systems as simplifiers. FUEL is an outgrowth of a C++ interface to…

High Energy Physics - Phenomenology · Physics 2023-10-24 Kirill Mokrov , Alexander Smirnov , Mao Zeng

We present pySecDec, a new version of the program SecDec, which performs the factorisation of dimensionally regulated poles in parametric integrals, and the subsequent numerical evaluation of the finite coefficients. The algebraic part of…

High Energy Physics - Phenomenology · Physics 2017-11-28 S. Borowka , G. Heinrich , S. Jahn , S. P. Jones , M. Kerner , J. Schlenk , T. Zirke

fixest is an R package for fast and flexible econometric estimation. It provides a unified framework for applied research, with comprehensive support for a diverse class of models: ordinary least squares, instrumental variables, generalized…

Econometrics · Economics 2026-04-06 Laurent R. Bergé , Kyle Butts , Grant McDermott