We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from on-shell tree amplitudes in six dimensions using D-dimensional generalised unitarity cuts. The resulting expressions are shown to have manifest infrared behaviour at the integrand level. We also find simple representations of the rational terms obtained after integration in 4 − 2ϵ dimensions.

Local integrands for two-loop all-plus Yang-Mills amplitudes

Badger S.;
2016

Abstract

We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from on-shell tree amplitudes in six dimensions using D-dimensional generalised unitarity cuts. The resulting expressions are shown to have manifest infrared behaviour at the integrand level. We also find simple representations of the rational terms obtained after integration in 4 − 2ϵ dimensions.
2016
8
N/A
N/A
http://arxiv.org/abs/1606.02244v3
Perturbative QCD; Scattering Amplitudes; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology; High Energy Physics - Theory
Badger S.; Mogull G.; Peraro T.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1770902
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