The singular behaviour of QCD amplitudes at two-loop order
Stefano Catani,Stefano Catani +1 more
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TLDR
In this paper, the structure of infrared singularities in on-shell QCD amplitudes at two-loop order is discussed and a general factorization formula that controls all the ϵ-poles of the dimensionally regularized amplitudes is presented.About:
This article is published in Physics Letters B.The article was published on 1998-05-14 and is currently open access. It has received 747 citations till now. The article focuses on the topics: Quantum chromodynamics & Factorization.read more
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Gluon scattering amplitudes at strong coupling
TL;DR: In this article, the authors describe how to compute planar gluon scattering amplitudes at strong coupling in = 4 super Yang Mills by using the gauge/string duality, and find agreement with a recent ansatz by Bern, Dixon and Smirnov.
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Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
TL;DR: In this paper, the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 - 2 -epsilon dimensions was constructed via the unitarity method, in terms of two Feynman loop integrals, one of which has been evaluated already.
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Differential Equations for Two-Loop Four-Point Functions
Thomas Gehrmann,Ettore Remiddi +1 more
TL;DR: In this article, the authors show how the use of tools already employed in inclusive calculations can be suitably extended to the computation of loop integrals appearing in the virtual corrections to exclusive observables, namely two-loop four-point functions with massless propagators and up to one off-shell leg.
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MHV amplitudes in N=4 super Yang-Mills and Wilson loops
TL;DR: For one-loop MHV amplitudes with an arbitrary number of external legs this universal function can be derived using Wilson loops as mentioned in this paper, which is in precise agreement with the known expression for the infinite sequence of MHV amplitude in N = 4 super-Yang-Mills.
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A duality for the S matrix
TL;DR: In this article, a dual formulation for the S Matrix of $$ \mathcal N $$ = 4 SYM is proposed, which provides a basis for the leading singularities of scattering amplitudes to all orders in perturbation theory, which are sharply defined, IR safe data that uniquely determine the full amplitudes at tree level and 1-loop and are conjectured to do so at all loop orders.
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Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
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.
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Evolution of parton densities beyond leading order: The non-singlet case
TL;DR: In this paper, the authors developed a technique based explicitly on the factorization properties of mass singularities, which allows one to calculate the evolution of parton densities beyond leading order.
Book
QCD and Collider Physics
TL;DR: A detailed overview of collider physics with special emphasis on the study of QCD is given in this article, where the most important applications at high-energy colliders are described in detail.
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Multi-Parton Amplitudes in Gauge Theories
TL;DR: In this article, the authors present techniques and results that are useful in the calculation of cross sections for processes with many final state partons which have applications in the study of multi-jet phenomena in high-energy Colliders.
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The Computation of loop amplitudes in gauge theories
Zvi Bern,David A. Kosower +1 more
TL;DR: In this paper, a detailed derivation of a new and efficient technique based on the technology of four-dimensional heterotic strings, for computing one-loop amplitudes in gauge theories, along with expressions for the dimensionally regularized helicity amplitudes for the process with four external gluons.
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