Mass independent textures and symmetry

Lam, C. S.

doi:10.1103/physrevd.74.113004

Cited by 103 publications

(98 citation statements)

References 20 publications

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“…1 C. S. Lam has shown [14] that the column vectors of the lepton mixing matrix can be eigenvectors of certain horizontal flavor symmetry. Keeping the symmetry point of view, we can construct the M(T)BM parameterizations of the neutrino mixing matrix by appropriately multiplying either tri-bimaximal or bimaximal mixing matrix by a unitary matrix while keeping a column or a row vector characterizing the horizontal symmetry unchanged.…”

Section: Neutrino Mixing Matricesmentioning

confidence: 99%

Prediction of leptonicCPphase from perturbatively modified tribimaximal (or bimaximal) mixing

Kang

Kim²

2014

Phys. Rev. D

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We consider the perturbatively modified tri-bimaximal (or bimaximal) mixing to estimate the (Dirac-type) CP phase in the neutrino mixing matrix. The expressions for the CP phase are derived from the equivalence between the standard parametrization of the neutrino mixing matrix for the Majorana neutrino and modified tri-bimaximal or bimaximal mixing matrices with appropriate CP phases. Carrying out numerical analysis based on the current experimental results for neutrino mixing angles, we can predict the values of the CP phase for several possible cases.

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Section: Neutrino Mixing Matricesmentioning

confidence: 99%

Prediction of leptonicCPphase from perturbatively modified tribimaximal (or bimaximal) mixing

Kang

Kim²

2014

Phys. Rev. D

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“…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].…”

Section: Introductionmentioning

confidence: 99%

Mu-tau reflection symmetry with a texture-zero

Nishi

Sánchez-Vega

2017

J. High Energ. Phys.

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Abstract:The µτ -reflection symmetry is a simple symmetry capable of predicting all the unknown CP phases of the lepton sector and the atmospheric angle but too simple to predict the absolute neutrino mass scale or the mass ordering. We show that by combining it with a discrete abelian symmetry in a nontrivial way we can additionally enforce a texture-zero and obtain a highly predictive scenario where the lightest neutrino mass is fixed to be in the few meV range for two normal ordering (NO) solutions or in the tens of meV in one inverted ordering (IO) solution. The rate for neutrinoless double beta decay is predicted to be negligible for NO or have effective mass m ββ ≈ 14-29 meV for IO, right in the region to be probed in future experiments.

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“…In this section we explore the neutrino mass matrices having one texture zero along with TM 1 mixing. The TM 1 mixing matrix can be parametrized as [4,5,12,14] …”

Section: Tm 1 Mixing and One Texture Zero A Tm 1 Mixingmentioning

confidence: 99%

Trimaximal mixing with a texture zero

Gautam

2018

Phys. Rev. D

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We analyze neutrino mass matrices having one texture zero, assuming that the neutrino mixing matrix has either its first (TM 1 ) or second (TM 2 ) column identical to that of the tribimaximal mixing matrix. We found that all six possible one texture-zero neutrino mass matrices are compatible with the present neutrino oscillation data when combined with TM 1 or TM 2 mixing. These textures have interesting predictions for the presently unknown parameters such as the effective Majorana neutrino mass, the Dirac CP violating phase, and the neutrino mass scale. We also present a way to theoretically realize some of these textures using A 4 symmetry within the framework of the type-I þ II seesaw mechanism.

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Mass independent textures and symmetry

Cited by 103 publications

References 20 publications

Prediction of leptonicCPphase from perturbatively modified tribimaximal (or bimaximal) mixing

Prediction of leptonicCPphase from perturbatively modified tribimaximal (or bimaximal) mixing

Mu-tau reflection symmetry with a texture-zero

Trimaximal mixing with a texture zero

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