The one-loop amplitude for six-gluon scattering

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 gluons, fermions and scalars running in the internal loop. T...

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Main Authors: Ellis, R, Giele, W, Zanderighi, G
Format: Journal article
Published: 2006
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author Ellis, R
Giele, W
Zanderighi, G
author_facet Ellis, R
Giele, W
Zanderighi, G
author_sort Ellis, R
collection OXFORD
description 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 gluons, fermions and scalars running in the internal loop. This is more than sufficient to give a complete description of six-gluon scattering at one-loop in QCD. Combination of these results into amplitudes with N = 4 and N = 1 multiplets of supersymmetric Yang-Mills or with a complex scalar in the internal loops allows comparison with analytic results in the literature. The numerical results for most of the helicity combinations with loops of complex scalars are new.
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spelling oxford-uuid:1b54b075-81fd-43f3-bf0f-f941b84fdbe52022-03-26T10:59:48ZThe one-loop amplitude for six-gluon scatteringJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1b54b075-81fd-43f3-bf0f-f941b84fdbe5Symplectic Elements at Oxford2006Ellis, RGiele, WZanderighi, GWe 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 gluons, fermions and scalars running in the internal loop. This is more than sufficient to give a complete description of six-gluon scattering at one-loop in QCD. Combination of these results into amplitudes with N = 4 and N = 1 multiplets of supersymmetric Yang-Mills or with a complex scalar in the internal loops allows comparison with analytic results in the literature. The numerical results for most of the helicity combinations with loops of complex scalars are new.
spellingShingle Ellis, R
Giele, W
Zanderighi, G
The one-loop amplitude for six-gluon scattering
title The one-loop amplitude for six-gluon scattering
title_full The one-loop amplitude for six-gluon scattering
title_fullStr The one-loop amplitude for six-gluon scattering
title_full_unstemmed The one-loop amplitude for six-gluon scattering
title_short The one-loop amplitude for six-gluon scattering
title_sort one loop amplitude for six gluon scattering
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AT zanderighig theoneloopamplitudeforsixgluonscattering
AT ellisr oneloopamplitudeforsixgluonscattering
AT gielew oneloopamplitudeforsixgluonscattering
AT zanderighig oneloopamplitudeforsixgluonscattering