One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
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TLDR
In this paper, 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 using general properties of the relevant one-loops $n$-point integrals.Abstract:
We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$ supersymmetric Yang-Mills theory with the helicity configuration of the Parke-Taylor tree amplitudes. We prove that our $N=4$ ansatz is correct using general properties of the relevant one-loop $n$-point integrals. We also give the ``splitting amplitudes'' which govern the collinear behavior of one-loop helicity amplitudes in gauge theories.read more
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KLT and New Relations for N=8 SUGRA and N=4 SYM
TL;DR: In this paper, the supersymmetric Kawai-Lewellen-Tye (KLT) relations between N=8 supergravity (SUGRA) and N=4 super Yang-Mills (SYM) tree-level amplitudes in the frame of S-matrix program, especially they do not use string theory or the explicit Lagrangian form of corresponding theories.
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Tree-Level Formalism
TL;DR: In this article, two novel techniques used to calculate tree-level scattering amplitudes efficiently, namely MHV diagrams and on-shell recursion relations, are presented. But their applications are limited to the N=4 supersymmetric formulation.
Automation of higher order corrections and their applications Beyond the Standard Model
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Global structure of curves from generalized unitarity cut of three-loop diagrams
TL;DR: In this article, the Riemann-Hurwitz formula is used to compute the geometric genus of algebraic curves with the help of techniques involving convex hull polytopes and numerical algebraic geometry.
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The Noncommutative S-Matrix
TL;DR: In this paper, the S-matrix of non-commutative N = 4 SYM theory was studied and it was shown that tree-level amplitudes can be obtained by BCFW type recursion relations.
References
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Efficient calculation of one-loop QCD amplitudes
Zvi Bern,David A. Kosower +1 more
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