Distribution of Neutrino Mixing Parameters FromReal and Complex Random Neutrino Mass Matrices

University essay from KTH/Teoretisk fysik; KTH/Teoretisk fysik

Author: Sammy Mannaa; Antek Szadaj; [2013]

Keywords: ;

Abstract:

The theory of neutrino oscillations is covered. Also, the theory of Dirac, Majorana, and

Dirac-Majorana neutrinos is presented. From this theory, and the model presented in [7],

a program is constructed which creates a suitable number of neutrino mass matrices

M

using pseudo-random numbers generated in MATLAB. These matrices are diagonalised,

and from the general notion of the Pontecorvo-Maki-Nakagawa-Sakata matrix

UPMNS,

statistical distributions of six mixing parameters are presented, namely;

12; 13; 23, the

CP-violating Dirac phase delta (

), and two Majorana CP-violating phases alpha one

and two (

1; 2). Furthermore, from the diagonal matrix resulting from the diagonalisation

of

M, masses mi, of the mass states i; i = 1; 2; 3, are taken. All data is presented

in histograms using 90 bins. This numerical approach to determining how the neutrino

mixing parameters are distributed will be discussed in section 2.10, and possible conclusions

regarding the statistical distributions of the mixing angles

12; 13, and 23, and the

masses

mi will be presented in chapter 3.

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