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Automated one-loop calculations in four and D dimensions

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TLDR
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.
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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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One-loop corrections to h → b b ¯ $$ b\overline{b} $$ and h → τ τ ¯ $$ \tau \overline{\tau} $$ decays in the Standard Model dimension-6 EFT: four-fermion operators and the large- m t limit

TL;DR: In this paper, a set of one-loop corrections for vanishing-gauge couplings in the Standard Model effective field theory (SMEFT) is presented. Butler et al. showed that these corrections can be obtained within an extension of the widely used on-shell renormalisation scheme appropriate for SMEFT calculations, and showed explicitly how UV divergent bare amplitudes from a total of 21 different operators are rendered finite within this scheme.
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One-loop contribution to dark-matter-nucleon scattering in the pseudo-scalar dark matter model

TL;DR: In this article, the exact cross section in the zero momentum transfer at the leading order of perturbative expansion was calculated and the amplitude for the scattering process is UV finite and approaches zero in the limit of vanishing DM masses.
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Dimension-six electroweak top-loop effects in Higgs production and decay

TL;DR: In this article, the sensitivity of top-quark operators to Higgs measurements at the high luminosity LHC has been investigated, using projections for both inclusive and differential measurements.
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Rare meson decays into very light neutralinos

TL;DR: In this article, the authors investigated the mass of the lightest neutralino from rare meson decays within the minimal supersymmetric standard model (MSSM) with and without minimal flavor violation.
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Loops and trees in generic EFTs

TL;DR: In this article, a generic 4D EFT of massless scalars, fermions, and vectors is considered, with a particular eye to the high-energy limit of the Standard Model EFT at operator dimensions 6 and 8.
References
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Journal ArticleDOI

Regularization and Renormalization of Gauge Fields

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.
Journal ArticleDOI

Feyn Calc - Computer-algebraic calculation of Feynman amplitudes

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.
Journal ArticleDOI

Supersymmetric Dimensional Regularization via Dimensional Reduction

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.
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Techniques for the Calculation of Electroweak Radiative Corrections at the One-Loop Level and Results forW-physics at LEP 200

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.
Journal ArticleDOI

Automatic generation of tree level helicity amplitudes

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.
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