Texture zeros in neutrino mass matrix

Abstract

The Standard Model does not explain the hierarchy problem. Before the discovery of nonzero lepton mixing angle θ 13 high hopes in explanation of the shape of the lepton mixing matrix were combined with non abelian symmetries. Nowadays, assuming one Higgs doublet, it is unlikely that this is still valid. Texture zeroes, that are combined with abelian symmetries, are intensively studied. The neutrino mass matrix is a natural way to study such symmetries.

Two simple textures of the magic neutrino mass matrix

“…where α and β are the Majorana phases. While analyzing the experimental results on neutrino mixing and mass matrices, we can often look for some particular features like equalities [1,2], zeros [3,4,5,6,7,8,9,10,11,12], hybrids of zeros and equalities [13,14,15,16,17], zero trace [18], or some other pattern [19,20,21,22] in their elements. Harrison, Perkins and Scott proposed one such type of mixing matrix [23] which had ν 2 trimaximally mixed and ν 3 bimaximally mixed.…”

“…e , e where α and β are the Majorana phases. While analyzing the experimental results on neutrino mixing and mass matrices, we can often look for some particular features like equalities [1,2], zeros [3][4][5][6][7][8][9][10][11][12], hybrids of zeros and equalities [13][14][15][16][17], zero trace [18], or some other pattern [19][20][21][22] in their elements.…”

Breaking μ − τ symmetry of tri-bimaximal mixing

“…These discrete symmetries impose certain conditions on the elements of the neutrino mass matrix resulting in the textures of the neutrino mass matrix. Some of the well studied textures are equalities [1,2], zeros [3][4][5][6][7][8][9][10][11][12][13], hybrids of zeros and equalities [14][15][16][17][18], zero trace [19], or some other patterns between the elements of neutrino mass matrix [20][21][22][23].…”

Phenomenological study of neutrino mass, dark matter and baryogenesis within the framework of minimal extended seesaw

“…Texture zero in the final neutrino mass matrix implies some of the elements are much smaller than the other elements or zero, eventually the number of free parameters are significantly reduced [40][41][42]. Flavour symmetries are widely used in neutrino phenomenology and play a crucial role in texture realization by reducing free parameters in the neutrino mass matrix [40,[43][44][45][46][47]. Flavon fields introduced under flavour symmetries to describe neutrino mixing phenomenology are customarily SM singlet.…”