Abstract
We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: \( q\overline{q}^{\prime}\to {V}_1{V}_2 \). Combining with the leptonic decay currents, we obtain the full two-loop QCD description of the corresponding electroweak four-lepton production processes. The calculation is performed by projecting the two-loop diagrams onto an appropriate basis of Lorentz structures. All two-loop Feynman integrals are reduced to a basis of master integrals, which are then computed using the differential equations method and optimised for numerical performance. We provide a public C++ code which allows for fast and precise numerical evaluations of the amplitudes.
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Gehrmann, T., von Manteuffel, A. & Tancredi, L. The two-loop helicity amplitudes for \( q\overline{q}^{\prime}\to {V}_1{V}_2\to 4 \) leptons. J. High Energ. Phys. 2015, 128 (2015). https://doi.org/10.1007/JHEP09(2015)128
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DOI: https://doi.org/10.1007/JHEP09(2015)128