Standard Model Electroweak Precision Measurements with two Z bosons and two jets in ATLAS

This thesis presents the differential cross-section measurements as a function of several kinematic observables, sensitive to vector boson scattering for two Z bosons production in association with two jets ($Z$ $Z$∗jj), where each $Z$ boson is reconstructed in same-flavor opposite-charge two leptons final state. The electroweak $Z$ $Z$∗jj production includes the rare triple and quartic self-couplings of gauge bosons, whose scattering amplitude at high energies is regularized by the Standard Model $H$ → $Z$ $Z$∗ processes. The analysis is performed using the proton-proton collision data collected by the ATLAS experiment during LHC Run-2 at √ s = 13 TeV center-of-mass collision energy, corresponding to an integrated luminosity of 139 f b−1 . Several theories Beyond the Standard Model are expected to modify the electroweak $Z$ $Z$∗jj cross-sections at high energies. Certain phase space of some kinematic observables describing the electroweak $Z$ $Z$∗jj process is sensitive to these new physics modifications. Therefore, performing differential cross-section measurements as a function of these kinematic observables for the electroweak $Z$ $Z$∗jj processes is crucial. Given the low statistics in Run-2, the cross-sections corrected for detector effects are measured in an electroweak-enhanced phase space and compared to the state-of-the-art Standard Model predictions. The differential cross-sections are also used to constrain anomalous quartic gauge couplings using a dimension-8 Effective Field Theory formalism.