Abstract
The process pp → μ+νμe+νejj receives several contributions of different orders in the strong and electroweak coupling constants. Using appropriate event selections, this process is dominated by vector-boson scattering (VBS) and has recently been measured at the LHC. It is thus of prime importance to estimate precisely each contribution. In this article we compute for the first time the full NLO QCD and electroweak corrections to VBS and its irreducible background processes with realistic experimental cuts. We do not rely on approximations but use complete amplitudes involving two different orders at tree level and three different orders at one-loop level. Since we take into account all interferences, at NLO level the corrections to the VBS process and to the QCD-induced irreducible background process contribute at the same orders. Hence the two processes cannot be unambiguously distinguished, and all contributions to the μ+νμe+νejj final state should be preferably measured together.
Highlights
Since we take into account all interferences, at next-to-leading order (NLO) level the corrections to the vector-boson scattering (VBS) process and to the QCD-induced irreducible background process contribute at the same orders
In this article we have presented all NLO electroweak (EW) and QCD corrections to the process pp → μ+νμe+νejj including like-sign charged vector-boson scattering (VBS) and its EW- and QCD-induced irreducible background
As the full LO and NLO matrix elements are used, these computations account for all possible off-shell, non-resonant, and interference effects
Summary
The hadronic process studied is defined at LO as pp → μ+νμe+νejj. Owing to charge conservation, there are no gluon-induced or photon-induced contributions at LO. The diagram on the bottom right is an example of a QCD-induced contribution at order O gs2g4 This contribution exclusively consists of diagrams where a gluon is connecting the two quark lines and by construction, cannot involve VBS topologies. In figure 1, the contraction of the QCD-induced diagram (bottom right) with the VBS diagrams (top row) necessarily vanishes due to colour structure, while the corresponding contraction with the EW s-channel background diagrams (bottom left and bottom middle) leads to a non-zero interference contribution at order O αsα. The situation is represented graphically in figure 2.1 The order O α7 contributions are the NLO EW corrections to the EW-induced LO processes They have already been presented in ref. All results have been obtained in two independent Monte Carlo programs that have already been used for the computations of NLO QCD and EW corrections for high-multiplicity processes described in refs. [15, 24,25,26] and refs. [15, 27,28,29], respectively
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