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This thesis presents a search for evidence of
Additionally, to study potential deviations from the Standard Model prediction in the \emuy channel, the ATLAS run-2 dataset is used to set upper and lower limits at the 95% confidence level on 13 Wilson coefficients of an effective field theory extending the Standard Model with dimension-8 operators. Two methods to restore unitarity to the effective field theory are investigated: the clipping method as well as a dipole form factor model. The dependence of the Wilson coefficients' expected upper and lower limits on these two methods' parameters are presented.