Abstract
We present the first computation of the full next-to-leading-order QCD and electroweak corrections to the WZ scattering process at the LHC. All off-shell, gauge-boson-decay, and interference effects are taken into account for the process pp → μ+μ−e+νej j + X at the orders mathcal{O} (αsα6) and mathcal{O} (α7). The electroweak corrections feature the typical Sudakov behaviour towards high energy and amount to −16% relative to the electroweak contribution to the integrated cross section. Moreover, the corrections induce significant shape distortions in differential distributions. The next-to-leading-order analysis of the quark- and gluon-induced channels is supplemented by a leading-order study of all possible contributions to the full 4ℓ + 2jets production cross section in a realistic fiducial phase-space volume.
Highlights
Where different Monte Carlo programs were compared
We note that our calculation of QCD corrections is based on the full set of NLO diagrams including all interferences without approximation, i.e. we do not employ the so-called vector-boson scattering (VBS) approximation used in previous QCD calculations [11, 12], which neglects colour exchange between the two incoming protons
The process pp → μ+μ−e+νejj + X is of great interest at the LHC, because its EW contribution of order O α6 to the cross section contains vector-boson scattering (VBS) as a subprocess
Summary
As for all quark-quark-initiated processes characterised by four leptons and two jets in the final state, two types of amplitudes occur for the quark-induced processes qq → μ+μ−e+νeqq,. Further contributions in this order result from squares of amplitudes of order O gsg of the channels gγ → μ+μ−e+νeqq and qγ → μ+μ−e+νeqg (see figures 1i and 1j for examples) Those contributions are shown together with the order O(α6) photon-induced contributions. Owing to the colour structure, in case of two different generations of quarks in the partonic process, only diagrams of the type figure 2e with gluon exchange within one quark line contribute. In both types of NLO corrections, partonic channels with initial-state photons are not taken into account, since their contribution is already strongly suppressed at LO. With ∼ 1000 Feynman diagrams per partonic channel and up to 5-point functions this approximation reduces the complexity drastically in comparison to the calculation presented in this article
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