Abstract
The Standard Model is widely accepted as one of the most successful predictive theories of
Physics, providing insight into the fundamental building blocks of the universe. Over the
last few decades this model has shown signs of incompleteness, most of which are attributed
to Neutrinos. Within the confines of the standard model a discrepancy exists related to
vanishing Neutrino masses, which contradicts the experimental observation of Neutrino Oscillation
[12]. Neutrino oscillation depends on 7 parameters (3 mixing angles θ12, θ23, θ13,
a Dirac Phase due to CP violation δCP , and the 3 mass states m1, m2, m3). Values of the
parameters θ12, θ13, Δm2
21, |Δm2
32| are well determined whilst θ23, δCP and the mass Hierarchy,
whether (m1 < m2 < m3) or (m3 < m1 < m2), remain poorly determined [2]. The goal
of this research is to make use of the Revamped BMV (Babu-Ma-Valle) model [24] to attempt
a constrain of the poorly determined parameter values of δCP and θ23 using data from
the NOvA (NuMI off-axis νe Appearance) and T2K (Tokai to Kamioka) experiments. The
Revamped BMV model makes use of a supersymmetric model under A4 symmetry first proposed
in Ref. [3]. However, the original model [3] resulted in a vanishing θ13, which has been
proven to be non-vanishing by experiments RENO [32], Daya bay [8] and Double Chooz [11].
We begin by building up Neutrino Physics from a brief history to the Standard physics of
oscillation in a vacuum and in matter. The analysis using data from NOvA and T2K experimental
results are then run through the General Long Baseline Experiment Simulator
(GLoBES), which is a dedicated Linux/OS software for simulation and analysis data of long
baseline neutrino experiments. We identify how the current Standard Model constraints the
aforementioned parameters so as to have a comparative analysis of the constraining ability
of both models. Exploring the physics of the new model suggested in Ref. [24] in order to
obtain the new mixing matrix in terms of the new parameters. This analysis was performed
numerically due to the complexity involved in solving for the analytic expressions of the
new physics. The analysis of Δχ2(θ23, δCP ) suggest better constraints can be obtained for
the NOvA experiment in 3σ region, the T2K experiment has no visible difference in both
models. The combined (NOvA+T2K) analysis is driven by the new model’s effect on the
NOvA data. The new model fundamentally constrains the poorly determined parameters
the same way, with the only exception being in the 3σ region.