Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
By Z. Bern, A. Freitas, L. Dixon. 2002
218 citations recorded by the source corpus.
We present the two-loop helicity amplitudes for the scattering of two gluons into two gluons in QCD, which are relevant for next-to-next-to-leading order corrections to jet production at hadron colliders. We give the results in the 't Hooft-Veltman and four-dimensional helicity variants of dimensional regularization. Summing our expressions over helicities and colors, and converting to conventional dimensional regularization, gives results in complete agreement with those of Glover, Oleari and Tejeda-Yeomans. We also present the amplitudes for 2 ! 2 scattering in pure N = 1 supersymmetric Yang-Mills theory.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e47d22d9e049445788540c4287241506f6f5dfe0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
Citations in the corpus
- A brief introduction to modern amplitude methods (2013, unknown): “rity-based methods to QCD are still in their infancy, but they are being developed very rapidly now. For the simplest 2 → 2 processes, the principles of generalized unitarity were applied a while ago [58, 59, 60], but not in a way that could be automatically extended to more complicated processes. T”
- A two-loop five-gluon helicity amplitude in QCD (2013, methodology): “For performing the integrals over the higher-dimensional μ-parameters, we use the Schwinger parametrization technique described in [37].”
- Heisenberg-Euler Effective Lagrangians : Basics and Extensions (2004, background): “12) These massless helicity amplitudes, with 4 external legs, have been extended to two-loop level [153], where they also exhibit remarkable simplicities.”
- Erratum: On the structure of infrared singularities of gauge-theory amplitudes (2009, background): “In addition to the on-shell quark and gluon form factors, these include e+e− → q̄qg [35] as well as all four-point amplitudes of quarks and gluons [36–42].”
- Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, background): “While all 2→ 2 NNLO amplitudes in QCD have been known for a number of years [499, 500, 501, 502, 503, 504], NNLO predictions for single inclusive jet production [469, 470] and dijet production [469] are just becoming available.”
- Collective Phenomena in the Non-Equilibrium Quark-Gluon Plasma (2008, unknown): “After writing down the matrix elements for the three other diagrams, adding them together, taking the complex square, summing over final state polarizations and averaging over initial state polarizations, summing over final state gluon colors and averaging over initial state gluon colors one finds [”
- Black hole binary dynamics from the double copy and effective theory (2019, background): “Such double counting can be removed either during the construction of the integrand [53, 62] or after integration [63].”