ANALYSIS OF NEUTRINO MASSES

ABSTRACT

The precise masses m1, m2 and m3 of neutrinos and the ordering of these masses are currently poorly determined features of particle physics. Solar, atmospheric, accelerator and reactor neutrino experiments are able to determine mass-squared differences, and the so called Mikheyev-Smirnov-Wolfenstein matter effect determines the ordering of two of the mass eigen states. Experiments have been able to show the value of sum of the neutrino masses to be approximately equal to 0.058eV. As predicted using quantum gravitational couplings/effective Majorana dimensionless couplings from the spherically symmetric vacuum solutions arising from the Bose-Einstein statistical modification to gravitation, the sum of the mass of neutrino determined is approximately equal to 0.058eV. A seesaw mechanism was adopted (a la mode matrix) and was diagonalized to analyze the predicted values of the parameter eta (ƞ) from the mass Eigen states. Within this theoretical scheme, the normal ordering and the inverted order were achieved at ranges 10-3 - 100 and 1.4 x 10-1 – 1.14 x 103 on both axis in figure one (1), and it followed that at ∑ 𝑚𝑣 = 0.058, η = 0.05 which satisfy the constraints by neutrino oscillation experiments.