Non-zero nature of Theta 13 - generating Neutrino Reactor mixing angle via perturbation (θ13 )

Abstract

Thermonuclear fusion reactions happening at the core of the sun lead to the creation of a huge amount of energy and a large number of neutrinos. At very high temperatures and pressure, two protons come and fuse to each other leading to the creation of a deuteron which consists of one proton and one neutron, it means two protons not only fuse together but also a beta decay happens in which a proton gets converted into neutron leading to the emission of a positron and an electron neutrino. This is part of a brooder proton-proton cycle of reactions which is one of the dominant cycles of nuclear fusion reaction that happens at the core of the sun. Additionally, the Standard Model of Particle Physics, which proposes the massless and chargeless character of the neutrino as being sufficient until neutrino oscillation happens, presents the idea of elementary particles by taking into account three fundamental forces. The possibility of a neutrino having a mass other than zero surfaces in neutrino oscillation. Prior to now, Homestake's experiment, which became the solution to the solar neutrino puzzle, gave us the first indication of neutrino oscillation by showing that the Earth's neutrino flux did not match that predicted by the traditional solar model. It is essentially the difference between the flux of neutrinos empirically detected on Earth and the flux of neutrinos theoretically anticipated to be released from the sun. The solution to the solar neutrino problem was proposed using neutrino oscillations. The Tri-Bimaximal Mixing Ansatz provided a clear explanation for previous experimental findings on neutrino oscillations. The disappearing reactor angle theta - 13 was one of the main predictions of the TBM ansatz. The TBM texture is no longer experimentally viable due to the findings of the Daya Bay, RENO, Double Chooz, MINOS, and T2K investigations. These reveal to us theta – 13's non-zero character. To create the non-vanishing reactor angle, we attempt to investigate the perturbations of various TBM terms while continuing to employ TBM as the leading order matrix in the current work. We gravitate towards first-order perturbations.

URN:NBN:sciencein.jist.2024.v12.723