Revisiting the texture zero neutrino mass matrices

Singh, Madan; Ahuja, Gulsheen; Gupta, Madhur

doi:10.1093/ptep/ptw180

Cited by 32 publications

(21 citation statements)

References 20 publications

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“…In this context, the texture zero approach has been widely followed in the literature. In particular, texture two zeros have been relatively more successful in both flavor as well as in non flavor basis [20][21][22][23][24][25][26]. Apart from higher predicting power among the textures zeros, two zero mass matrices, in the flavor basis, can easily result from underlying flavor symmetries [27,28] and, in addition, can be realized within the framework of the see-saw mechanism [28,29].…”

Section: Introductionmentioning

confidence: 99%

Testing texture two-zero neutrino mass matrices under current experimental scenario

Singh¹

2020

EPL

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The latest data from Planck collaboration has presented an improved sensitivity limit of the sum of neutrino masses (Σ), Σ < 0.17eV at 95% confidence level (CL). On the other hand, the updated global fits of neutrino oscillation have shown a refined range of atmospheric mixing angle θ 23 at the same CL. In the light of these observations, we have re-investigated the five viable cases ( B 1,2,3,4 and C) of texture two zero Majorana mass matrix in the flavor basis. Using the present Planck's data, we have demonstrated that only cases B 2 and B 4 are now viable for normal mass ordering, while remaining three cases does not meet the present experimental constraints at 2σ CL. The viable cases are also found to be in agreement with the latest T2K, Super-Kamiokande and NOνA results, indicating the preference for normal neutrino mass ordering (m 1 < m 2 < m 3 ), a maximal Dirac CP-violating phase (δ ≃ 270 0 ), and upper octant of neutrino mixing angle (θ 23 > 45 0 ). In addition, the implication of Σ on neutrinoless double beta decay is studied for viable cases.

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Section: Introductionmentioning

confidence: 99%

Testing texture two-zero neutrino mass matrices under current experimental scenario

Singh¹

2020

EPL

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“…The imposition of texture zeros in neutrino mass matrix leads to some important phenomenological relations between flavor mixing angles and fermion mass ratios [24][25][26][27]. In the flavor basis, where charged lepton mass matrix is diagonal, at most two zeros are allowed in neutrino mass matrix, which are consistent with neutrino oscillation data [25,26].…”

Section: Introductionmentioning

confidence: 59%

The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

Singh

2018

Advances in High Energy Physics

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In the light of latest neutrino oscillation data, we have investigated the one-zero Majorana neutrino mass matrix ] with zero sum condition of mass eigenvalues in the flavor basis, where charged lepton mass matrix is diagonal. Among the six possible one-zero cases, it is found that only five can survive the current experimental data, while case with (1, 1) vanishing element of ] is ruled out, if zero trace condition is imposed at 3 confidence level (CL). Numerical and some approximate analytical results are presented.

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“…It is readily seen that case H is not viable since the structures of m † e m e and of m imply that one lepton flavour does not mix with the others and thus there are vanishing mixings. Structures of type E have two vanishing parameters in m. Neutrino matrices of this type have been thoroughly studied in the literature [32][33][34][35][36][37][38][39][40][41] and it is known that they can yield viable models. More precisely, it is possible to find suitable textures in the sense of specific positions for the zero entries, and specific values for the four non-vanishing parameters that fit well the experimental values for the three mixing angles and two mass squared differences, giving predictions for the remaining parameters.…”

Section: Neutrino Mass Structuresmentioning

confidence: 99%

“…Structures of type E with two vanishing parameters can yield viable models. This type of matrices has been already thoroughly analysed in the literature [32][33][34][35][36][37][38][39][40][41], and hence are omitted from our analysis.…”

Section: Neutrino Mass Structuresmentioning

confidence: 99%

Covert symmetries in the neutrino mass matrix

Björkeroth

Luzio

Mescia

et al. 2020

J. High Energ. Phys.

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The flavour neutrino puzzle is often addressed by considering neutrino mass matrices m with a certain number of vanishing entries (m ij = 0 for some values of the indices), since a reduction in the number of free parameters increases the predictive power. Symmetries that can enforce textures zero can also enforce a more general type of conditions f (m ij ) = 0 with f some function of the matrix elements m ij . In this case m can have all entries non-vanishing with no reduction in its predictive power. We classify all generationdependent U (1) symmetries which, in the presence of two leptonic Higgs doublets, can reduce the number of independent high-energy parameters of type-I seesaw to the minimum number compatible with non-vanishing neutrino mixings and CP violation. These symmetries are broken above the scale where the effective operator is generated and can thus remain covert, in the sense that no explicit evidence of the symmetry can be read off the neutrino mass matrix, and different symmetries can give rise to the same low-energy structure. We find that only two cases are viable: one yields a structure with two zerotextures already considered in the literature, the other has no zero-textures and has never been considered before. It predicts normal ordering, a lightest neutrino mass ∼ 10 meV, a Dirac phase δ ∼ 3π 2 and definite values for the Majorana phases.

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Revisiting the texture zero neutrino mass matrices

Cited by 32 publications

References 20 publications

Testing texture two-zero neutrino mass matrices under current experimental scenario

Testing texture two-zero neutrino mass matrices under current experimental scenario

The Texture One-Zero Neutrino Mass Matrix with Vanishing Trace

Covert symmetries in the neutrino mass matrix

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