Perturbative approach to the generation of neutrino reactor mixing angle (θ13)

A significant amount of energy and neutrinos are produced by thermonuclear fusion reactions occurring at the sun’s core. Two protons come together at extremely high temperatures and pressures to form a deuteron, which is made up of one proton and one neutron. This means that in addition to the two protons fusing together, there is also a beta decay, in which one proton turns into one neutron, producing an electron neutrino and a positron. This is a portion of a dominant nuclear fusion reaction cycle occurring at the sun’s core, known as the brooder proton-proton cycle. Furthermore, the idea of elementary particles is presented by the Standard Model of Particle Physics, which considers three fundamental forces and suggests that the neutrino’s massless and chargeless nature is sufficient until neutrino oscillation occurs. In neutrino oscillation, the possibility of a neutrino’s mass being something other than zero surfaces. Until now, the first clue to neutrino oscillation was provided by Homestake’s experiment, which solved the solar neutrino puzzle by demonstrating that the neutrino flux on Earth did not match the expected value of the standard solar model. It is basically the difference between the neutrino flux that is theoretically expected to be released from the sun and the neutrino flux that is empirically detected on Earth. Neutrino oscillations were suggested as a solution to the solar neutrino problem. Neutrino oscillations observed in earlier experiments were explained in detail by the Tri-Bimaximal Mixing Ansatz. One of the primary predictions of the TBM ansatz was the reactor angle theta-13. The Daya Bay, RENO, Double Chooz, MINOS, and T2K investigations have revealed that the TBM texture is no longer viable from an experimental standpoint. These show us the non-zero character of theta – 13. While keeping TBM as the leading order matrix in the current work, we try to explore the perturbations of different TBM terms to generate the non-vanishing reactor angle. Our preference is for first-order perturbations.