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Open AccessJournal ArticleDOI

Scattering Amplitudes from Multivariate Polynomial Division

TLDR
In this article, the evaluation of scattering amplitudes can be formulated as a multivariate polynomial division problem, with the components of the integrationmomenta as indeterminates, and a recursive algorithm based on the weak nullstellensatz theorem and on the division modulo the Grobner basis associated to all possible multi-particle cuts.
About
This article is published in Physics Letters B.The article was published on 2012-11-15 and is currently open access. It has received 160 citations till now. The article focuses on the topics: Polynomial long division & Polynomial remainder theorem.

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BookDOI

Handbook of LHC Higgs Cross Sections: 3. Higgs Properties

N. Moretti, +151 more
TL;DR: In 2012 and the first half of 2013, the LHC Higgs Cross Section Working Group as mentioned in this paper presented the state of the art of Higgs physics at the Large Hadron Collider (LHC), integrating all new results that have appeared in the last few years.
Posted ContentDOI

Handbook of LHC Higgs Cross Sections: 3. Higgs Properties

Sven Heinemeyer, +156 more
TL;DR: In 2012 and the first half of 2013, the LHC Higgs Cross Section Working Group as mentioned in this paper presented the state of the art of Higgs physics at the Large Hadron Collider (LHC), integrating all new results that have appeared in the last few years.
Journal ArticleDOI

QCD and strongly coupled gauge theories: challenges and perspectives

Nora Brambilla, +53 more
TL;DR: In this paper, the progress, current status, and open challenges of QCD-driven physics, in theory and in experiment, are highlighted, highlighting how the strong interaction is intimately connected to a broad sweep of physical problems, in settings ranging from astrophysics and cosmology to strongly coupled, complex systems in particle and condensed-matter physics, as well as searches for physics beyond the Standard Model.
Posted Content

Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report

TL;DR: The proceedings of the 2013 Les Houches workshop on physics at TeV colliders as discussed by the authors dealt primarily with the techniques for calculating standard model multi-leg NLO and NNLO QCD and NLO EW cross sections and comparison of those cross sections with LHC data from Run 1, and projections for future measurements in Run 2.
Journal ArticleDOI

Lectures on differential equations for Feynman integrals

TL;DR: In this article, the authors present a review of the recent developments in the field of differential equations for Feynman integrals, and show how single-scale integrals can be bootstrapped using the Drinfeld associator of a DE.
References
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Book

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra

TL;DR: Schenzel as mentioned in this paper provides a good introduction to algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects, including the elimination theorem, the extension theorem, closure theorem, and the Nullstellensatz.
Book

Using Algebraic Geometry

TL;DR: The Berlekamp-Massey-Sakata Decoding Algorithm is used for solving Polynomial Equations and for computations in Local Rings.
Journal ArticleDOI

New recursion relations for tree amplitudes of gluons

TL;DR: In this article, the authors presented new recursion relations for tree amplitudes in gauge theory that give very compact formulas, in which all particles are on-shell and momentum conservation is preserved.
Journal ArticleDOI

One-loop n-point gauge theory amplitudes, unitarity and collinear limits

TL;DR: In this article, the authors presented a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory, and proved that their N = 4 ansatz is correct.
Journal ArticleDOI

Scattering Amplitudes with Open Loops

TL;DR: A new technique to generate scattering amplitudes at one loop using tensor-integral and Ossola-Papadopoulos-Pittau reduction results in a fully flexible, very fast, and numerically stable one-loop generator.
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