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Durham University

Department of Physics

Staff profile

Publication details for Simon Badger

Badger, Simon, Mogull, Gustav & Peraro, Tiziano (2016). Local integrands for two-loop all-plus Yang-Mills amplitudes. Journal of High Energy Physics 2016(8): 63.

Author(s) from Durham


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.