CP Violation in Neutrino Oscillations

The asymmetry between matter and antimatter in the universe continues to represent one of the most significant unresolved challenges in modern physics. This research investigates CP violation in the context of neutrino oscillations, utilizing the distinctive characteristics of neutrinos as elusive particles that interact solely through the weak nuclear force and gravity. Neutrinos exist in three flavors: electron, muon, and tau, and they experience flavor oscillations due to quantum mixing among different mass eigenstates. The observation of neutrino oscillations offers compelling evidence for the existence of non-zero neutrino masses and suggests the presence of a complex phase within the mixing matrix, which may play a crucial role in generating CP violation. Through a detailed analysis of the mixing matrix structure and the relationship between oscillation probabilities and the complex phase, this study seeks to enhance the theoretical framework for neutrino CP violation, which is essential for deepening our understanding of the fundamental asymmetries that have shaped the evolution of the universe.