Nonzero<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>θ</mml:mi></mml:mrow><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>with unbroken<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi><mml:mo>−</mml:mo><mml:mi>τ</mml:mi></mml:math>symmetry of the active neutrino mass matrix in the presence of a light sterile neutrino

Borah, Debasish

doi:10.1103/physrevd.95.035016

Cited by 12 publications

(9 citation statements)

References 119 publications

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“…Such distinction is due to the complex nature of the mass matrix elements in the sterile sector. Our results also improve those of [49,50] on the search for solutions that are consistent with the expected PMNS CP phase. The present work is organized as follows.…”

Section: (): V-volsupporting

confidence: 77%

“…High energy flavour model realizations of this idea were explored in Refs. [49,50] were some general hints on Dirac phase correlations were given for some scenarios (see also [51,52] for similar ideas). Besides the preference for the normal hierarchy, which is also hinted to from cosmology [53], we will also see a significant difference for the allowed mass values reported in this work when compared with the results obtained in [28].…”

Section: (): V-volmentioning

confidence: 97%

“…Given the potential to reproduce the observed neutrino oscillation parameters, it would be interesting to further explore complete flavor model constructions that may reproduce all these features. As already mentioned, earlier models were addressed in [49][50][51][52] based on A 4 symmetry, but other discrete symmetries, as S 3 or S 4 , could be also explored. A consistent introduction of heavy neutrino decay in the same flavor model basis is also a feature that remains to be fully explored.…”

Section: Switching On Majorana Phasesmentioning

confidence: 99%

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Dirac CP phases in a 3 + 1 neutrino scenario with $$\mu -\tau $$ symmetry

Becerra-García

Pérez‐Lorenzana

2021

Eur. Phys. J. C

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A sterile neutrino in the $$3+1$$ 3 + 1 scheme, where the sterile accounts for neutrino anomalies not explained solely by the weak active neutrinos, arises as a natural source for the breaking of the $$\mu -\tau $$ μ - τ symmetry suggested by oscillation neutrino data. We explore the predictions for the Dirac CP phases in this scenario, with and without sterile neutrino decay, and show that current limits on $$\delta _{CP}$$ δ CP suggest a normal hierarchy and a lightest neutrino scale below 0.1 eV as the most plausible explanation for that, when Majorana phases are null. Other Dirac phases turn out to be non zero as well.

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Section: (): V-volsupporting

confidence: 77%

Section: (): V-volmentioning

confidence: 97%

Section: Switching On Majorana Phasesmentioning

confidence: 99%

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Dirac CP phases in a 3 + 1 neutrino scenario with $$\mu -\tau $$ symmetry

Becerra-García

Pérez‐Lorenzana

2021

Eur. Phys. J. C

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“…[66,68,[85][86][87][88] and within A 4 flavour symmetric model recently in Ref. [89]. Although we are not discussing such discrete flavour symmetry in this work, the µ − τ symmetric active neutrino block of the light neutrino mass matrix could be hinting at such a symmetry at the fundamental level.…”

Section: Possible Implicationsmentioning

confidence: 94%

Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme

et al. 2017

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In this work we revisit the zero textures in low energy Majorana neutrino mass matrix when the active neutrino sector is extended by a light sterile neutrino in the eV scale i.e., the 3+1 scheme. In 3+1 scenario, the low energy neutrino mass matrix (mν ) has ten independent elements. Thus in principle one can have minimum one-zero texture to maximum ten-zero texture. We summarize the previous results of one, two, three and four-zero textures which already exist in the literature and present our new results on five-zero textures. In our analysis we find that among six possible five-zero textures, only one is allowed by the present data. We discuss possible theoretical model which can explain the origin of the allowed five-zero texture and discuss other possible implications of such a scenario. Our results also concludes that in 3+1 scheme, one can not have more than five-zeros in mν .

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“…In the context of 3 + 1 neutrino mixing exact µ-τ permutation symmetry would still give θ 13 zero. Studies have been accomplished in the literature examining the possible role of activesterile mixing in generating a breaking of this symmetry starting from a µ-τ symmetric 3 × 3 neutrino mass matrix [28,[56][57][58][59][60][61]. In this paper we concentrate on the ramifications of µ-τ reflection symmetry for the 4 × 4 neutrino mass matrix in presence of one sterile neutrino.…”

Section: Introductionmentioning

confidence: 99%

Consequences of μ−τ reflection symmetry for 3+1 neutrino mixing

2019

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We investigate the consequences of µ−τ reflection symmetry in presence of a light sterile neutrino for the 3 + 1 neutrino mixing scheme. We discuss the implications of total µ − τ reflection symmetry as well partial µ − τ reflection symmetry. For the total µ − τ reflection symmetry we find that values of θ 23 and δ remains confined near π/4 and ±π/2 respectively.The current allowed region for θ 23 and δ in case of inverted hierarchy lies outside the area preferred by the total µ − τ reflection symmetry. However, interesting predictions on the neutrino mixing angles and Dirac CP violating phases are obtained considering partial µ − τ reflection symmetry. We obtain predictive correlations between the neutrino mixing angle θ 23 and Dirac CP phase δ and study the testability of these correlations at the future long baseline experiment DUNE. We find that while the imposition of µ − τ reflection symmetry in the first column admits both normal and inverted neutrino mass hierarchy, demanding µ − τ reflection symmetry for the second column excludes the inverted hierarchy. Interestingly, the sterile mixing angle θ 34 gets tightly constrained considering the µ − τ reflection symmetry in the fourth column. We also study the implications of µ−τ reflection symmetry for the Majorana phases and neutrinoless double beta decay in the 3+1 scenario.

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Nonzeroθ13with unbrokenμ−τsymmetry of the active neutrino mass matrix in the presence of a light sterile neutrino

Cited by 12 publications

References 119 publications

Dirac CP phases in a 3 + 1 neutrino scenario with $$\mu -\tau $$ symmetry

Dirac CP phases in a 3 + 1 neutrino scenario with $$\mu -\tau $$ symmetry

Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme

Consequences of μ−τ reflection symmetry for 3+1 neutrino mixing

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