Generalized hidden<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="script">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>symmetry of neutrino mixing

Dicus, Duane A.; Ge, Shao Feng; Repko, Wayne W.

doi:10.1103/physrevd.83.093007

Cited by 23 publications

(18 citation statements)

References 18 publications

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“…Essentially the atmospheric angle θ a and the Dirac CP phase δ D can be predicted as functions of the reactor and solar angles, θ r and θ s , which is in the same spirit as residual symmetries [11][12][13].…”

Section: Democratic Mass Matrix Hypothesis -Preliminarymentioning

confidence: 99%

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Large leptonic Dirac CP phase from broken democracy with random perturbations

Kusenko

Yanagida

2018

Physics Letters B

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A large value of the leptonic Dirac CP phase can arise from broken democracy, where the mass matrices are democratic up to small random perturbations. Such perturbations are a natural consequence of broken residual S3 symmetries that dictate the democratic mass matrices at leading order. With random perturbations, the leptonic Dirac CP phase has a higher probability to attain a value around ±π/2. Comparing with the anarchy model, broken democracy can benefit from residual S3 symmetries, and it can produce much better, realistic predictions for the mass hierarchy, mixing angles, and Dirac CP phase in both quark and lepton sectors. Our approach provides a general framework for a class of models in which a residual symmetry determines the general features at leading order, and where, in the absence of other fundamental principles, the symmetry breaking appears in the form of random perturbations. *

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Section: Democratic Mass Matrix Hypothesis -Preliminarymentioning

confidence: 99%

“…In both approaches, the residual symmetry takes the role of predicting the mixing pattern [11][12][13][14]. In some sense, the residual symmetry takes the same role as the custodial symmetry in the gauge sector [15].…”

Section: Introductionmentioning

confidence: 99%

Large leptonic Dirac CP phase from broken democracy with random perturbations

Kusenko

Yanagida

2018

Physics Letters B

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“…U µτ , construction of G matrices are unique, then for a particular G matrix, one might or might not have U µτ . Papers such as [4][5][6][7][8] discuss scenarios like soft breaking of one of the two residual symmetries such that presence of the other with its degenerate eigenvalues enhances the degrees of choice of the mixing matrix in accordance with the phenomenological requirement. On the other hand, in refs.…”

Section: Jhep12(2017)030mentioning

confidence: 99%

“…Recently, the idea of residual symmetry [1][2][3][4][5][6][7][8] has attracted much attention to explore the flavor structure of light neutrino mass matrix. In this approach, the neutrino mass matrix is attributed some residual or remnant symmetry of a horizontal flavor group.…”

Section: Introductionmentioning

confidence: 99%

Generalized ℤ2 × ℤ2 in scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis

Sinha

Samanta

Ghosal

2017

J. High Energ. Phys.

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Abstract:We investigate the consequences of a generalized Z 2 ×Z 2 symmetry on a scaling neutrino Majorana mass matrix. It enables us to determine definite analytical relations between the mixing angles θ 12 and θ 13 , maximal CP violation for the Dirac type and vanishing for the Majorana type. Beside the other testable predictions on the low energy neutrino parameters such as ββ 0ν decay matrix element |M ee | and the light neutrino masses m 1,2,3 , the model also has intriguing consequences from the perspective of leptogenesis. With the assumption that the required CP violation for leptogenesis is created by the decay of lightest (N 1 ) of the heavy Majorana neutrinos, only τ -flavored leptogenesis scenario is found to be allowed in this model. For a normal (inverted) ordering of light neutrino masses, θ 23 is found be less (greater) than its maximal value, for the final baryon asymmetry Y B to be in the observed range. Besides, an upper and a lower bound on the mass of N 1 have also been estimated. Effect of the heavier neutrinos N 2,3 on final Y B has been worked out subsequently. The predictions of this model will be tested in the experiments such as nEXO, LEGEND, GERDA-II, T2K, NOνA, DUNE etc.

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“…Such effort also provides an indirect way to help probing the mass scale involved in neutrino mass generation through the seesaw mechanism. A precise measurement of the genuine Dirac CP phase would also provide direct tests of residual symmetries that can predict correlation between the Dirac CP phase and the mixing angles [24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Measuring the leptonic CP phase in neutrino oscillations with nonunitary mixing

Pasquini

Tórtola

et al. 2017

Phys. Rev. D

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Non-unitary neutrino mixing implies an extra CP violating phase that can fake the leptonic Dirac CP phase δ CP of the simplest three-neutrino mixing benchmark scheme. This would hinder the possibility of probing for CP violation in accelerator-type experiments. We take T2K and T2HK as examples to demonstrate the degeneracy between the "standard" (or "unitary") and "non-unitary" CP phases. We find, under the assumption of non-unitary mixing, that their CP sensitivities severely deteriorate. Fortunately, the TNT2K proposal of supplementing T2(H)K with a µDAR source for better measurement of δ CP can partially break the CP degeneracy by probing both cos δ CP and sin δ CP dependences in the wide spectrum of the µDAR flux. We also show that the further addition of a near detector to the µDAR setup can eliminate the degeneracy completely. *

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Generalized hiddenZ2symmetry of neutrino mixing

Cited by 23 publications

References 18 publications

Large leptonic Dirac CP phase from broken democracy with random perturbations

Large leptonic Dirac CP phase from broken democracy with random perturbations

Generalized ℤ2 × ℤ2 in scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis

Measuring the leptonic CP phase in neutrino oscillations with nonunitary mixing

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