Exploring the $gg \rightarrow ZH$ process for constraining Wilson coefficients within the SMEFT framework

The Standard Model Effective Field Theory (SMEFT) aims to investigate deviations from the Standard Model and place constraints on the free parameters of this theory, the Wilson coefficients. In the SMEFT framework, the process, $gg \rightarrow Z(\rightarrow l^{+}l^{-})$H(\rightarrow$ receives a contribution from the dimension-6 operator $\mathcal{O}_{\phi t}$ whose associated Wilson coefficient, $c_{\phi t}$, is presently weakly constrained in the current state-of-the-art measurements. This thesis, for the first time, carries out feasibility studies in this process within this framework. We simulate and analyze events generated using the SMEFT model to identify key kinematic quantities which can be used to study these EFT effects. By effectively separating the most challenging backgrounds, which include $qq \rightarrow ZH$ and $pp \rightarrow Z+jets$, from the signal, we establish constraints on this Wilson coefficient at a 95\% Confidence Level. Comparing our results with the current global fit values, we find a stricter constraint for the High Luminosity LHC era.