$pp\to jj{e}^{\pm }{\mu }^{\pm }\nu \nu$ and $jj{e}^{\pm }{\mu }^{\mp }\nu \nu$ at $\mathcal{O}({\alpha }_{\mathrm{em}}^6)$ and $\mathcal{O}({\alpha }_{\mathrm{em}}^4{\alpha }_s^2)$ for the study of the quartic electroweak gauge boson vertex at CERN LHC

We analyze the potential of the CERN Large Hadron Collider (LHC) to study the structure of quartic vector-boson interactions through the pair production of electroweak gauge bosons via weak boson fusion $qq\to qqWW$. In order to study these couplings we have performed a partonic level calculation of all processes $pp\to jj{e}^{\pm }{\mu }^{\pm }\nu \nu$ and $pp\to jj{e}^{\pm }{\mu }^{\mp }\nu \nu$ at the LHC using the exact matrix elements at $\mathcal{O}({\alpha }_{\mathrm{em}}^6)$ and $\mathcal{O}({\alpha }_{\mathrm{em}}^4{\alpha }_s^2)$ as well as a full simulation of the $t\overline{t}$ plus 0 to 2 jets backgrounds. A complete calculation of the scattering amplitudes is necessary not only for a correct description of the process but also to preserve all correlations between the final-state particles which can be used to enhance the signal. Our analyses indicate that the LHC can improve by more than 1 order of magnitude the bounds arising at the present from indirect measurements.