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arxiv: 1503.08835 · v2 · pith:G5YWQMTOnew · submitted 2015-03-30 · ✦ hep-ph

The two-loop helicity amplitudes for gg to V₁ V₂ to 4~leptons

classification ✦ hep-ph
keywords amplitudesbosonsevaluationhelicityhepforgeleptonsnumericaltwo-loop
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We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two electroweak gauge bosons in the gluon fusion channel, $gg \to V_1 V_2$, keeping the virtuality of the vector bosons $V_1$ and $V_2$ arbitrary and taking their decays into leptons into account. The amplitudes are expressed in terms of master integrals, whose representation has been optimised for fast and reliable numerical evaluation. We provide analytical results and a public C++ code for their numerical evaluation on HepForge at http://vvamp.hepforge.org .

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  1. A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons

    hep-ph 2019-06 unverdicted novelty 7.0

    First numerical evaluation of planar two-loop helicity amplitudes for W-boson plus four partons using finite-field reduction and sector decomposition on a subset of master integrals.