Automated one-loop calculations in four and D dimensions
TL;DR: In this article, two program packages for evaluating one-loop amplitudes are presented, which can work either in dimensional regularization or in constrained differential renormalization, and they are shown to be equivalent to regularization by dimensional reduction.
About: This article is published in Computer Physics Communications.The article was published on 1999-05-01 and is currently open access. It has received 1564 citations till now. The article focuses on the topics: Dimensional regularization & Dimensional reduction.
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TL;DR: MadGraph5 aMC@NLO as discussed by the authors is a computer program capable of handling all these computations, including parton-level fixed order, shower-matched, merged, in a unified framework whose defining features are flexibility, high level of parallelisation and human intervention limited to input physics quantities.
Abstract: We discuss the theoretical bases that underpin the automation of the computations of tree-level and next-to-leading order cross sections, of their matching to parton shower simulations, and of the merging of matched samples that differ by light-parton multiplicities. We present a computer program, MadGraph5 aMC@NLO, capable of handling all these computations — parton-level fixed order, shower-matched, merged — in a unified framework whose defining features are flexibility, high level of parallelisation, and human intervention limited to input physics quantities. We demonstrate the potential of the program by presenting selected phenomenological applications relevant to the LHC and to a 1-TeV e + e − collider. While next-to-leading order results are restricted to QCD corrections to SM processes in the first public version, we show that from the user viewpoint no changes have to be expected in the case of corrections due to any given renormalisable Lagrangian, and that the implementation of these are well under way.
6,509 citations
TL;DR: 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.
2,719 citations
TL;DR: The POWHEG BOX is illustrated to provide an illustration of the needed theoretical ingredients, a view of how the code is organized and a description of what a user should provide in order to use it.
Abstract: In this work we illustrate the POWHEG BOX, a general computer code framework for implementing NLO calculations in shower Monte Carlo programs according to the POWHEG method. Aim of this work is to provide an illustration of the needed theoretical ingredients, a view of how the code is organized and a description of what a user should provide in order to use it.
2,560 citations
Cites background from "Automated one-loop calculations in ..."
...Recent progress in the automatization of the virtual cross section calculation may lead to developments where even the virtual contribution (vi) may be obtained in a painless way [21, 22, 23, 24, 25, 26, 27, 28, 29, 30]....
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TL;DR: The Mathematica package FeynArts as discussed by the authors is used for the generation and visualization of Feynman diagrams and amplitudes, with three levels, user-defined model files, and support for supersymmetric models.
1,796 citations
TL;DR: In this paper, the authors focused on the mechanism of electroweak symmetry breaking and the fundamental properties of the Higgs particle of the Standard Model and its decay modes and production mechanisms at hadron colliders and at future lepton colliders.
1,352 citations
References
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TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
3,722 citations
TL;DR: Feyn Calc as discussed by the authors is a computer program for automatic algebraic calculation of Feynman amplitudes, which can be used to calculate tree level diagrams as well as 1-and 2-loop corrections in the Standard Model.
1,192 citations
TL;DR: In this article, a modified form of dimensional regularization is introduced which manifestly preserves gauge invariance, unitarity, and global supersymmetry, and also considers its application to supergravity.
987 citations
TL;DR: In this paper, a review of the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one-loop level is presented. And the full set of analytical formulae and corresponding numerical results for the decay width of the W-boson and the top quark are presented.
Abstract: We review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one-loop level. In particular we describe renormalization, calculation of one-loop integrals and evaluation of one-loop Feynman amplitudes. We summarize many explicit results of general relevance. We give the Feynman rules and the explicit form of the counterterms of the electroweak standard model, we list analytical expressions for scalar one-loop integrals and reduction of tensor integrals, we present the decomposition of the invariant matrix element for processes with two external fermions and we give the analytic form of soft photonic corrections. These techniques are applied to physical processes with external W-bosons. We present the full set of analytical formulae and the corresponding numerical results for the decay width of the W-boson and the top quark. We discuss the cross section for the production of W-bosons in e+e− annihilation including all O(x) radiative corrections and finite width effects. Improved Born approximations for these processes are given.
721 citations
TL;DR: The program MadGraph is presented which automatically generates postscript Feynman diagrams and Fortran code to calculate arbitrary tree level helicity amplitudes by calling HELAS[1] subroutines.
703 citations