Higgs Boson is characterized by J \(^\pi \) = 0 \(^+\) and fundamentally interacts with other particles to impart mass. This study is focused on Z \(\gamma \) channel of Higgs with branching ratio of \(\beta (H \rightarrow Z\gamma ) = (1.57 \pm 0.09) \times 10^{-3}\) . Feynman diagram for Z \(\gamma \) channel is similar to \(\gamma \) \(\gamma \) channel, and loop effects in this process are particularly sensitive to BSM physics. As detection of resonance signals in heavy-ion physics is challenging due to complex background noise and pile-up in dense media, existing methods for detecting the Higgs boson are not yet optimal. The analysis of \(H\rightarrow Z\gamma \rightarrow \mu ^+\mu ^-\gamma \) or \(e^+e^-\gamma \) is conducted with collision data from proton-proton interactions simulated using PYTHIA-8 at \(\sqrt{s} = 13 \, \text {TeV}\) , offering solutions to these challenges. With the reconstruction of Higgs mass signal-to-background ratio has been computed by employing selection criteria focused on certain kinematic variables at various stages. This involves examining relation between \(P_{Z}\)  vs \(\theta _{\ell ^+\ell ^-}\) and \(P_{H}\) vs \(\theta _{Z\gamma }\) - refers to \(1^{st}\) and \(2^{nd}\) angular correlation respectively where 1 \(\sigma \) correlations are applied for both the cases which enhanced the signal-to-background ratio up to several orders of magnitude.