Breakings of the neutrino μ-τ reflection symmetry

Zhao, Zhen-hua

doi:10.1007/jhep09(2017)023

Cited by 31 publications

(20 citation statements)

References 58 publications

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“…It is well-known that the µ − τ reflection predicts maximal atmospheric mixing θ 23 = π/4 and maximal Dirac phase δ CP = ±π/2. In light of the experimental indications that θ 23 and δ CP deviate from maximal values [2][3][4][5], one could break the µ − τ reflection symmetry [65][66][67][68] or consider its possible variations such as the generalized µ − τ , e − µ or e − τ reflections [60][61][62]. We shall extend this approach to the quark sector in this work.…”

Section: Introductionmentioning

confidence: 99%

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Lu¹,

Ding²

2018

Phys. Rev. D

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We have studied two approaches to predict quark and lepton mixing patterns from the same flavor symmetry group in combination with CP symmetry. The first approach is based on the residual symmetry Z 2 in the charged lepton sector and Z 2 × CP in the neutrino sector. All lepton mixing angles and CP violation phases depend on three real parameters θ l , δ l and θ ν . This approach is extended to the quark sector, the up and down quark mass matrices are assumed to be invariant under a Z 2 subgroup and Z 2 × CP . The necessary and sufficient conditions for the equivalence of two mixing patterns are derived. The second approach has an abelian subgroup and a single CP transformation as residual symmetries of the charged lepton and neutrino sectors respectively. The lepton mixing would be determined up to a real orthogonal matrix multiplied from the right hand side. Analogously we assume that a single CP transformation is preserved by the down (or up) quark mass matrix, and the residual symmetry of the up (or down) quark sector is be an abelian subgroup. As an example, we analyze the possible mixing patterns which can be obtained from the breaking of ∆(6n 2 ) and CP symmetries. We find ∆(294) combined with CP is the smallest flavor group which can give a good fit to the experimental data of quark and lepton mixing in both approaches. *

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Section: Introductionmentioning

confidence: 99%

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Lu¹,

Ding²

2018

Phys. Rev. D

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“…Moreover, latest results of global-fit of neutrino oscillation data from NuFit-3.2 collaboration [34, 35] favors higher octant of θ 23 along with non-maximal δ 1 . Also, results of ongoing neutrino oscillation experiments (e.g., T2K [36] and NOνA [37]) are in well agreement with the predictions of the concerned symmetry but, still show large uncertainties in their measurement of δ and θ 23 . Therefore, it is tenacious to accept the exact nature of µ − τ reflection symmetry.…”

Section: Introductionmentioning

confidence: 53%

“…This also show the potential of DUNE to know how well it can measure δ and θ 23 . Moreover, latest results of global-fit of neutrino oscillation data from NuFit-3.2 collaboration [34, 35] favors higher octant of θ 23 along with non-maximal δ 1 .…”

Section: Introductionmentioning

confidence: 69%

“…Later, we study its consequences considering next-generation super beam Deep Underground Neutrino Experiment (DUNE). This statistically high potential experiment will improve the precision of the atmospheric mixing angle, θ 23 and play a key role to probe the leptonic CP-violating phase, δ [33]. Because of this, DUNE can test various flavor symmetry models and helps us to understand some inherent physics associate with it.…”

Section: Introductionmentioning

confidence: 99%

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Consequences of μ−τ reflection symmetry at DUNE

Nath

2018

Phys. Rev. D

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We consider minimal type-I seesaw framework to realize µ−τ reflection symmetry in the low-energy neutrino mass matrix, M ν . Considering DUNE experiment, we scrutinize its potential to measure the precision of 2-3 mixing angle, θ 23 and the Dirac CP-phase, δ for the given symmetry. Later, we examine the precision of these two parameters considering NuFit-3.2 data as one of the important true points. To study the low-energy phenomenology, we further discuss various breaking patterns of such an exact symmetry. Moreover, for each breaking scenario we perform the capability test of DUNE for the determination of θ 23 and to establish the phenomenon of CP violation considering the true benchmark point arising from the breaking of µ − τ reflection symmetry. We also make remarks on the potential of DUNE to rule out maximal CP-violation or CP-conservation hypothesis at a certain confidence level for different scenarios.

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“…Of course, it is more fundamental to understand how the µ-τ reflection symmetry of M ν or H ν can be spontaneously or explicitly broken, both for the model-building purpose and for explaining currently available neutrino oscillation data [53]. Following the discussions about the µ-τ symmetry breaking of the Majorana neutrino mass matrix [51,[54][55][56][57], one can similarly introduce the most general perturbation to the Dirac neutrino mass matrix with the µ-τ reflection symmetry. But we find that it is more convenient to focus on the perturbation to H ν in eq.…”

Section: Jhep11(2017)135mentioning

confidence: 99%

The μ-τ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections

Zhang

Zhu

2017

J. High Energ. Phys.

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Given the Dirac neutrino mass term, we explore the constraint conditions which allow the corresponding mass matrix to be invariant under the µ-τ reflection transformation, leading us to the phenomenologically favored predictions θ 23 = π/4 and δ = 3π/2 in the standard parametrization of the 3 × 3 lepton flavor mixing matrix. If such a flavor symmetry is realized at a superhigh energy scale Λ µτ , we investigate how it is spontaneously broken via the one-loop renormalization-group equations (RGEs) running from Λ µτ down to the Fermi scale Λ F . Such quantum corrections to the neutrino masses and flavor mixing parameters are derived, and an analytical link is established between the Jarlskog invariants of CP violation at Λ µτ and Λ F . Some numerical examples are also presented in both the minimal supersymmetric standard model and the type-II two-Higgs-doublet model, to illustrate how the octant of θ 23 , the quadrant of δ and the neutrino mass ordering are correlated with one another as a result of the RGE-induced µ-τ reflection symmetry breaking effects.

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Breakings of the neutrino μ-τ reflection symmetry

Cited by 31 publications

References 58 publications

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Quark and lepton mixing patterns from a common discrete flavor symmetry with a generalized CP symmetry

Consequences of μ−τ reflection symmetry at DUNE

The μ-τ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections

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