Minimal lepton flavour structures lead to non-maximal 2-3 mixing

Frigerio, Michele; Moral, A. Villanova del

doi:10.1007/jhep07(2013)146

Cited by 3 publications

(2 citation statements)

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“…For instance, it has been shown that the two-zero textures in class 1 4 0 2 can be obtained from continuous or discrete flavour symmetries (see e.g. [4,6,28]), while the particular texture T 4, 6 25 of class 2 1 1 2 0 2 can be constructed through a flavour symmetry based on the order-twelve quaternion group Q 6 [26]. Similarly, the hybrid textures belonging to class 2 1 1 3 0 1 can be realised in a type-II seesaw framework by implementing certain discrete symmetries [11].…”

Section: Discussionmentioning

confidence: 99%

“…Particular cases of textures belonging to the class 2 1 1 2 0 2 have been previously considered in the literature. For example, the texture C 25 was analysed in [26], while the textures A 1,46 and A 2,46 with an additional constraint were found to be compatible with data at 3σ CL in [27]. We analysed all the textures of table 5 in order to search for extra correlations among the matrix elements of m ν .…”

Section: Textures With Four and Five Parametersmentioning

confidence: 99%

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Neutrino observables from predictive flavour patterns

2016

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We look for predictive flavour patterns of the effective Majorana neutrino mass matrix that are compatible with current neutrino oscillation data. Our search is based on the assumption that the neutrino mass matrix contains equal elements and a minimal number of parameters, in the flavour basis where the charged lepton mass matrix is diagonal and real. Three unique patterns that can successfully explain neutrino observables at the 3 σ confidence level with just three physical parameters are presented. Neutrino textures described by four and five parameters are also studied. The predictions for the lightest neutrino mass, the effective mass parameter in neutrinoless double beta decays and for the CP-violating phases in the leptonic mixing are given.

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Section: Discussionmentioning

confidence: 99%

Section: Textures With Four and Five Parametersmentioning

confidence: 99%

Neutrino observables from predictive flavour patterns

2016

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Update on two-zero textures of the Majorana neutrino mass matrix in light of recent T2K, Super-Kamiokande and NOνA results

Zhou

2016

Chinese Phys. C

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The latest results from atmospheric and accelerator neutrino experiments indicate that the normal neutrino mass ordering m 1 < m 2 < m 3 , a maximal leptonic CP-violating phase δ = 270 • and the second octant of neutrino mixing angle θ 23 > 45 • are favored. In light of new experimental results, we update previous phenomenological studies on two-zero textures of the Majorana neutrino mass matrix M ν , in the flavor basis where the charged-lepton mass matrix M l is diagonal. When the 1σ ranges of neutrino mixing parameters are taken into account, only four (i.e., A 1,2 and B 2,4 ) among seven two-zero patterns of M ν show the aforementioned features of neutrino mass spectrum, mixing angle θ 23 and CP-violating phase δ, and thus are compatible with the latest neutrino oscillation data. The correlative relations among neutrino masses and mixing parameters have been derived analytically for these four patterns, and the allowed regions of neutrino mixing angles and the CP-violating phase are also given. Possible realizations of four viable two-zero textures via non-Abelian discrete flavor symmetries are discussed.PACS number(s): 14.60.Pq, 11.30.Hv * zhoush@ihep.ac.cnIn 2011, the accelerator neutrino experiments T2K [1] and MINOS [2] observed neutrino oscillations in the ν µ → ν e appearance channel, indicating a nonzero θ 13 at the 2σ significance level, which is also consistent with the result from the reactor neutrino experiment Double Chooz [3]. In 2012, the Daya Bay collaboration [4] observed the disappearance of ν e from nuclear reactors and discovered a relatively large value θ 13 ≈ 9 • with a high statistical significance, which was further confirmed by the RENO [5] and Double Chooz [6] experiments. Thanks to three leading reactor neutrino experiments, Daya Bay, Double Chooz and RENO, the value of the smallest mixing angle θ 13 has been measured more precisely than those of the other two large mixing angles θ 12 and θ 23 . The remaining important issues in experimental neutrino physics are to determine whether neutrino mass ordering is normal (i.e., m 1 < m 2 < m 3 , denoted as NO) or inverted (i.e., m 3 < m 1 < m 2 , denoted as IO), to discover leptonic CP violation and measure the CP-violating phase δ, and to pin down the octant of θ 23 (i.e., θ 23 < 45 • or θ 23 > 45 • ). Any important experimental progress will shed light on the underlying flavor structure of lepton mass matrices, and thus help us explore the origin of neutrino masses and flavor mixing.Very recently, the T2K collaboration has published a combined analysis of the data in both ν µ → ν µ disappearance and ν µ → ν e appearance channels [7]. If the reactor neutrino data relevant for θ 13 are included, the likelihood maximum is reached at δ = 270 • and sin 2 θ 23 = 0.528 (i.e., θ 23 = 46.6 • ) in the NO case. In addition, the latest preliminary results of ν µ → ν e appearance from the NOνA experiment also favor NO at the 2σ level, and point to δ ≈ 270 • if θ 23 = 45 • is fixed [8]. Apart from the long-baseline accelerator neutrino experiments T2K...

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Two-zero Majorana textures in the light of the Planck results

2014

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The recent results of the Planck experiment put a stringent constraint on the sum of the light neutrino masses, Σ i m i < 0.23 eV (95% CL). On the other hand, two-zero Majorana mass matrix textures predict strong correlations among the atmospheric angle sin 2 θ 23 and Σ. We use the Planck result to show that, for the normal hierarchy case, the texture with vanishing (2, 2) and (3, 3) elements is ruled out at a high confidence level; in addition, we emphasize that a future measurement of the octant of θ 23 (or the 1σ determination of it based on recent fit to neutrino data) will put severe constraint on the possible structure of the Majorana mass matrix. The implication of the above mentioned correlations for neutrinoless double β-decay are also discussed, for both normal and inverted orderings.

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Minimal lepton flavour structures lead to non-maximal 2-3 mixing

Cited by 3 publications

References 56 publications

Neutrino observables from predictive flavour patterns

Neutrino observables from predictive flavour patterns

Update on two-zero textures of the Majorana neutrino mass matrix in light of recent T2K, Super-Kamiokande and NOνA results

Two-zero Majorana textures in the light of the Planck results

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