Two-zero Majorana textures in the light of the Planck results

Abstract

The recent results of the Planck experiment put a stringent constraint on the sum of the light neutrino masses, Σ i m i < 0.23 eV (95% CL). On the other hand, two-zero Majorana mass matrix textures predict strong correlations among the atmospheric angle sin 2 θ 23 and Σ. We use the Planck result to show that, for the normal hierarchy case, the texture with vanishing (2, 2) and (3, 3) elements is ruled out at a high confidence level; in addition, we emphasize that a future measurement of the octant of θ 23 (or the 1σ determination of it based on recent fit to neutrino data) will put severe constraint on the possible structure of the Majorana mass matrix. The implication of the above mentioned correlations for neutrinoless double β-decay are also discussed, for both normal and inverted orderings.

Neutrino mass matrices from two zero 3 × 2 Yukawa textures and minimal d = 5 entries

“…Our results for the textures P 3 and P 4 are compatible with ones [18][19][20][21][22][23][24][25], obtained before. Now we turn to the analysis of the one texture zero neutrino mass matrices we have obtained in Section 3.…”

“…Dirac Yukawa couplings and heavy Majorana neutrino masses) which are not measured so far, a priory it is impossible to make predictions unless some reduction of model parameters are achieved. For this purpose, the texture zero Yukawa and/or Majorana mass matrices have been investigated in the literature [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. This approach, besides some predictions, opens up a possibility of relating phase δ (appearing in neutrino oscillations) to the CP asymmetry of the thermal leptogenesis [14][15][16], [32][33][34][35].…”

Mu-tau reflection symmetry with a texture-zero

“…Our approach is a combination of two very different approaches to lepton flavor: (a) texture-zeros that increase predictivity and relate mixing angles with masses [26][27][28][29][30] and (b) symmetries that fully or partly determine the mixing structure independently of the masses [10,11,31]. The former usually requires abelian symmetries [32] while the latter requires nonabelian discrete symmetries [10,11].…”

One-loop radiative seesaw dark matter and neutrinoless double beta decay with two zero flavor neutrino mass texture

“…According to Dev et al 55 and Meloni et al, 56 we employ the values of θ 23 given for both octant which are shown in TABLE 1.…”

“…[55][56][57][58] This type of matrix is called the two zero flavor neutrino mass texture. If we require a nonvanishing effective neutrino mass M ee for the neutrino less double beta decay, 59,60 only four textures are compatible with observed data in the two zero flavor neutrino mass texture scheme.…”