Abstract
We present the first calculation of the full next-to-leading-order electroweak and QCD corrections for vector-boson scattering (VBS) into a pair of Z bosons at the LHC. We consider specifically the process pp → e+e−μ+μ−jj + X at orders mathcal{O} (α7) and mathcal{O} (αsα6) and take all off-shell and interference contributions into account. Owing to the presence of enhanced Sudakov logarithms, the electroweak corrections amount to −16% of the leading-order electroweak fiducial cross section and induce significant shape distortions of differential distributions. The QCD corrections on the other hand are larger (+24%) than typical QCD corrections in VBS. This originates from considering the full computation including tri-boson contributions in a rather inclusive phase space. We also provide a leading-order analysis of all contributions to the cross section for pp → e+e−μ+μ−jj + X in a realistic setup.
Highlights
The prospects of this channel for the high-luminosity and high-energy upgrade of the LHC have been studied in ref. [20]
In this article we have presented a calculation of the NLO EW and QCD corrections of orders O α7 and O αsα6, respectively, for the process pp → e+e−μ+μ−jj + X
In particular, the NLO EW and QCD corrections to the LO EW contribution of order O α6, which is dominated by vector-boson scattering (VBS) into a pair of Z bosons
Summary
We are studying the process pp → e+e−μ+μ−jj + X. 60 partonic quark-induced channels contribute compared to 40 for WZ and 12 for W±W± scattering (not counting qq and q q initial states separately) Out of these 60 channels, 24 receive non-vanishing interference contributions between different coupling orders that make up the contribution of order O αsα. In contrast to final states corresponding to charged W±W± and WZ scattering, the e+e−μ+μ−jj final state receives contributions from the loop-induced partonic process gg → e+e−μ+μ−gg at order O αs4α4 (see figure 2 for sample diagrams). We include these contributions in our leading-order analysis
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