Residual Symmetries for Neutrino Mixing with a Large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>θ</mml:mi><mml:mn>13</mml:mn></mml:msub></mml:math>and Nearly Maximal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>δ</mml:mi><mml:mi>D</mml:mi></mml:msub></mml:math>

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

doi:10.1103/physrevlett.108.041801

Cited by 168 publications

(76 citation statements)

References 51 publications

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“…The now established relatively large 1-3 mixing and the indications of significant deviations of the 2-3 mixing from maximal [12] rule out the exact TBM, and therefore cast doubts to the explanation of mixing separated from masses through nonabelian symmetries. At the same time, it was shown in [13,14,15,16] that flavor symmetries can still accommodate the recent results on the 1-3 and 2-3 mixings.…”

Section: Introductionmentioning

confidence: 91%

Relating neutrino masses and mixings by discrete symmetries

Hernández

Smirnov

2013

Phys. Rev. D

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Lepton mixing can originate from the breaking of a flavor symmetry in different ways in the neutrino and the charged lepton sector. We propose an extension of this framework which allows to connect the mixing parameters with masses, and more precisely, with certain types of degeneracy of the neutrino mass spectrum. We obtain relations between the mixing parameters for the cases of partial degeneracy, m 1 = m 2 , and complete degeneracy, m 1 = m 2 = m 3 . These relations determine also the Majorana phases. It is shown that relatively small corrections to these lowest order results can produce the required mass splitting and modify the mixing without significant changes of the other symmetry results. *

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Section: Introductionmentioning

confidence: 91%

Relating neutrino masses and mixings by discrete symmetries

Hernández

Smirnov

2013

Phys. Rev. D

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“…• First, one can take the constant mixing patterns with θ 13 = 0 as the leadingorder approximation, which will be modified by significant corrections from various sources [23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Jhep09(2016)167mentioning

confidence: 99%

Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects

Zhang

Zhou

2016

J. High Energ. Phys.

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In light of the latest neutrino oscillation data, we examine whether the leptonic flavor mixing matrix can take on an exact form of tri-bimaximal (TBM), golden-ratio (GR) or bimaximal (BM) mixing pattern at a superhigh-energy scale, where such a mixing pattern could be realized by a flavor symmetry, and become compatible with experimental data at the low-energy scale. Within the framework of the Minimal Supersymmetric Standard Model (MSSM), the only hope for realizing such a possibility is to count on the corrections from the renomalization-group (RG) running. In this work we focus on these radiative corrections, and fully explore the allowed parameter space for each of these mixing patterns. We find that when the upper bound on the sum of neutrino masses Σ ν ≡ m 1 + m 2 + m 3 < 0.23 eV at the 95% confidence level from Planck 2015 is taken into account, none of these mixing patterns can be identified as the leptonic mixing matrix below the seesaw threshold. If this cosmological upper bound on the sum of neutrino masses were relaxed, the TBM and GR mixing patterns would still be compatible with the latest neutrino oscillation data at the 3σ level, but not at the 1σ level. Even in this case, no such a possibility exists for the BM mixing.

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“…We also note that all possible generalized CP symmetry elements that are consistent with U e = 1 can be found from Eq. (36). Finally, it is worthwhile to comment on the situation for which a general basis is chosen such that neither the charged leptons or the neutrinos are diagonal.…”

Section: Generalization Of Bottom-up Constructionsmentioning

confidence: 99%

Lepton sector phases and their roles in flavor and generalized CP symmetries

Everett

Stuart

2017

Phys. Rev. D

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We study the effects of considering nontrivial unphysical lepton sector phases on the group theoretical properties of the flavor and generalized CP symmetry elements in the case where there are three light, distinct Majorana neutrino species. We highlight the similarities and differences between the charged lepton and neutrino sectors and further elucidate the group properties of the flavor and generalized CP symmetry elements. We show how the inclusion of these leptonic phases affects the bottom-up constructions of these symmetry elements and discuss the implications for top-down model building based on discrete symmetry groups. *

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Residual Symmetries for Neutrino Mixing with a Largeθ13and Nearly MaximalδD

Cited by 168 publications

References 51 publications

Relating neutrino masses and mixings by discrete symmetries

Relating neutrino masses and mixings by discrete symmetries

Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects

Lepton sector phases and their roles in flavor and generalized CP symmetries

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