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2021

Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD

Abreu, S., Cordero, F. Febres, Ita, H. et al.

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We present the leading-color two-loop QCD corrections for the scattering of four partons and a $W$ boson, including its leptonic decay.

The amplitudes are assembled from the planar two-loop helicity amplitudes for four partons and a vector boson decaying to a lepton pair, which are also used to determine the planar two-loop amplitudes for four partons and a $Z/\gamma^*$ boson with a leptonic decay.
The analytic expressions are obtained by setting up a dedicated Ansatz and constraining the free parameters from numerical samples obtained within the framework of numerical unitarity.
The large linear systems that must be solved to determine the analytic expressions are constructed to be in Vandermonde form.

Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD · Around

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