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相关论文: Unitarity Cuts: NLO Six-Gluon Amplitudes in QCD

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Unitarity cuts are widely used in analytic computation of loop amplitudes in gauge theories such as QCD. We expand upon the technique introduced in hep-ph/0503132 to carry out any finite unitarity cut integral. This technique naturally…

高能物理 - 唯象学 · 物理学 2011-05-05 Ruth Britto , Bo Feng , Pierpaolo Mastrolia

Recent progress in unitarity techniques for one-loop scattering amplitudes makes a numerical implementation of this method possible. We present a 4-dimensional unitarity method for calculating the cut-constructible part of amplitudes and…

高能物理 - 唯象学 · 物理学 2009-09-17 R. K. Ellis , W. T. Giele , Z. Kunszt

One-loop amplitudes of gluons in supersymmetric Yang-Mills are four-dimensional cut-constructible. This means that they can be determined from their unitarity cuts. We present a new systematic procedure to explicitly carry out any finite…

高能物理 - 唯象学 · 物理学 2009-07-09 Ruth Britto , Evgeny Buchbinder , Freddy Cachazo , Bo Feng

This article reviews on-shell methods for analytic computation of loop amplitudes, emphasizing techniques based on unitarity cuts. Unitarity techniques are formulated generally but have been especially useful for calculating one-loop…

高能物理 - 理论 · 物理学 2015-05-20 Ruth Britto

A c++ implementation of the D_s-dimensional unitarity cut algorithm for the numerical evaluation of the virtual contribution to NLO QCD amplitudes is presented. The current version includes an arbitrary number of external gluons with…

高能物理 - 唯象学 · 物理学 2008-12-17 A. Lazopoulos

We present a new method for computing complete one-loop amplitudes, including their rational parts, in non-supersymmetric gauge theory. This method merges the unitarity method with on-shell recursion relations. It systematizes a…

高能物理 - 唯象学 · 物理学 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We present results for the six-gluon scattering amplitude at one-loop. Since our method is semi-numerical, it yields the result for arbitrary momenta and helicities of the external gluons. We evaluate the colour-ordered sub-amplitudes with…

高能物理 - 唯象学 · 物理学 2009-11-11 R. K. Ellis , W. T. Giele , Giulia Zanderighi

We propose a systematic way to carry out the method introduced in hep-th/0410077 for computing certain unitarity cuts of one-loop N=4 amplitudes of gluons. We observe that the class of cuts for which the method works involves all…

高能物理 - 理论 · 物理学 2009-11-10 Ruth Britto , Freddy Cachazo , Bo Feng

We show that one-loop amplitudes in massless gauge theories can be determined from single cuts. By cutting a single propagator and putting it on-shell, the integrand of an n-point one-loop integral is transformed into an (n+2)-particle tree…

高能物理 - 理论 · 物理学 2008-12-25 E. W. Nigel Glover , Ciaran Williams

We present advances in the development of the numerical unitarity method for the computation of multi-loop amplitudes in QCD. As an application, we show results for all the leading-color two-loop five-gluon helicity amplitudes. The…

高能物理 - 唯象学 · 物理学 2018-07-26 Samuel Abreu , Fernando Febres Cordero , Harald Ita , Ben Page , Mao Zeng

We review the recently developed bootstrap method for the computation of high-multiplicity QCD amplitudes at one loop. We illustrate the general algorithm step by step with a six-point example. The method combines (generalized) unitarity…

高能物理 - 唯象学 · 物理学 2008-11-26 Carola F. Berger

The unitarity method for calculating one-loop amplitudes provides algorithms of polynomial complexity. This is primarily beneficial for the computation of multi-leg one loop amplitudes and it is therefore of great interest to develop a…

高能物理 - 唯象学 · 物理学 2009-04-14 R. Keith Ellis , Walter T. Giele , Zoltan Kunszt

We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ($\bar{q}qggg$). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

We compute the one-loop QCD amplitude for the process gg-->Q\bar{Q} in dimensional regularization through order \epsilon^2 in the dimensional regulator and for arbitrary quark mass values. This result is an ingredient of the NNLO…

高能物理 - 唯象学 · 物理学 2008-12-30 Charalampos Anastasiou , S. Mert Aybat

We use on-shell recursion relations to determine the one-loop QCD scattering amplitudes with a massless external quark pair and an arbitrary number (n-2) of positive-helicity gluons. These amplitudes are the last of the unknown infrared-…

高能物理 - 唯象学 · 物理学 2010-11-15 Zvi Bern , Lance J. Dixon , David A. Kosower

We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure allowing us to reconstruct the amplitude by cutting into…

高能物理 - 唯象学 · 物理学 2015-07-21 Simon Badger , Hjalte Frellesvig , Yang Zhang

We use on-shell recursion relations to compute analytically the one-loop corrections to maximally-helicity-violating n-gluon amplitudes in QCD. The cut-containing parts have been computed previously; our work supplies the remaining rational…

高能物理 - 唯象学 · 物理学 2008-11-26 Carola F. Berger , Zvi Bern , Lance J. Dixon , Darren Forde , David A. Kosower

We describe the recently developed on-shell bootstrap for computing one-loop amplitudes in non-supersymmetric theories such as QCD. The method combines the unitarity method with loop-level on-shell recursion. The unitarity method is used to…

高能物理 - 唯象学 · 物理学 2008-11-26 Carola F. Berger , Zvi Bern , Lance J. Dixon , Darren Forde , David A. Kosower

We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized $D$-dimensional unitarity. It allows automated computations of both cut-constructible {\it and} rational parts of one-loop scattering…

高能物理 - 唯象学 · 物理学 2009-09-17 Walter T. Giele , Zoltan Kunszt , Kirill Melnikov

We present the publicly available program NGluon allowing the numerical evaluation of primitive amplitudes at one-loop order in massless QCD. The program allows the computation of one-loop amplitudes for an arbitrary number of gluons. The…

高能物理 - 唯象学 · 物理学 2012-08-02 Simon Badger , Benedikt Biedermann , Peter Uwer
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