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Open AccessJournal ArticleDOI

FORM version 4.0

TLDR
The most important new features are manipulation of rational polynomials and the factorization of expressions in the symbolic manipulation system Form, which outperforms other systems typically by an order of magnitude.
About
This article is published in Computer Physics Communications.The article was published on 2013-05-01 and is currently open access. It has received 495 citations till now. The article focuses on the topics: Unix & Upload.

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Citations
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Journal ArticleDOI

FeynCalc 9.3: New features and improvements

TL;DR: Some interesting new features such as highly improved interoperability with other packages, automatic extraction of the ultraviolet divergent parts of 1-loop integrals, support for amplitudes with Majorana fermions and γ -matrices with explicit Dirac indices are explained in detail.
Journal ArticleDOI

The five-loop beta function of Yang-Mills theory with fermions

TL;DR: In this article, the authors computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum Electrodynamics (QED).
Journal ArticleDOI

The five-loop beta function of Yang-Mills theory with fermions

TL;DR: In this paper, the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum Electrodynamics (QED) was computed using infrared rearrangement via a new diagram-by-diagram implementation of the R* operation and the Forcer program for massless four-loop propagators.
Journal ArticleDOI

Full top quark mass dependence in Higgs boson pair production at NLO

TL;DR: In this article, the effects of the exact top quark mass-dependent two-loop corrections to Higgs boson pair production by gluon fusion at the LHC and at a 100 TeV hadron collider were studied.
References
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Book

The Art of Computer Programming

TL;DR: The arrangement of this invention provides a strong vibration free hold-down mechanism while avoiding a large pressure drop to the flow of coolant fluid.

The Art in Computer Programming

Andrew Hunt, +1 more
TL;DR: Here the authors haven’t even started the project yet, and already they’re forced to answer many questions: what will this thing be named, what directory will it be in, what type of module is it, how should it be compiled, and so on.
Book ChapterDOI

Probabilistic algorithms for sparse polynomials

TL;DR: This work has tried to demonstrate how sparse techniques can be used to increase the effectiveness of the modular algorithms of Brown and Collins and believes this work has finally laid to rest the bad zero problem.
Posted Content

New features of FORM

TL;DR: Forms 3 as mentioned in this paper contains many new features that are inspired by current developments in the methodology of computations in quantum field theory A number of these features are discussed in combination with examples In addition the distribution contains a number of general purpose packages These are described shortly
Book

Algorithms for computer algebra

TL;DR: This book discusses Polynomials GCD Computation, the construction of bases for Polynomial Ideals, and the Risch Integration Algorithm, which automates the process of solving Systems of Equation.