Possible alternatives to tri-bimaximal mixing

Albright, Carl H.; Dueck, Alexander; Rodejohann, Werner

doi:10.1140/epjc/s10052-010-1492-2

Cited by 230 publications

(192 citation statements)

References 90 publications

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“…Reducing the uncertainty on the values of these two parameters is important for measuring CP violation in neutrino oscillations by T2K and other current and future experiments. Furthermore, precise measurements of sin 2 θ 23 could constrain models of neutrino mass generation [107][108][109][110][111][112].…”

Section: Characterizing Systematic Uncertaintymentioning

confidence: 99%

Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with6.6×1020protons on target

Abe¹,

Adam²,

Aihara³

et al. 2015

Phys. Rev. D

279

376

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We report on measurements of neutrino oscillation using data from the T2K long-baseline neutrino experiment collected between 2010 and 2013. In an analysis of muon neutrino disappearance alone, we find the following estimates and 68% confidence intervals for the two possible mass hierarchies: normal hierarchy∶ sin 2 θ 23 ¼ 0.514 þ0.055 −0.056 and Δm 2 32 ¼ ð2.51 AE 0.10Þ × 10 −3 eV 2 =c 4 and inverted hierarchy∶ sin 2 θ 23 ¼ 0.511 AE 0.055 and Δm 2 13 ¼ ð2.48 AE 0.10Þ × 10 −3 eV 2 =c 4 . The analysis accounts for multinucleon mechanisms in neutrino interactions which were found to introduce negligible bias. We describe our first analyses that combine measurements of muon neutrino disappearance and electron neutrino appearance to estimate four oscillation parameters, jΔm 2 j, sin 2 θ 23 , sin 2 θ 13 , δ CP , and the mass hierarchy. Frequentist and Bayesian intervals are presented for combinations of these parameters, with and without including recent reactor measurements. At 90% confidence level and including reactor measurements, we exclude the region δ CP ¼ ½0.15; 0.83 π for normal hierarchy and δ CP ¼ ½−0.08; 1.09 π for inverted hierarchy. The T2K and reactor data weakly favor the normal hierarchy with a Bayes factor of 2.2. The most probable values and 68% one-dimensional credible intervals for the other oscillation parameters, when reactor data are included, are sin 2 θ 23 ¼ 0.528 þ0.055 −0.038 and jΔm 2 32 j ¼ ð2.51 AE 0.11Þ × 10 −3 eV 2 =c 4 .

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Section: Characterizing Systematic Uncertaintymentioning

confidence: 99%

Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with6.6×1020protons on target

Abe¹,

Adam²,

Aihara³

et al. 2015

Phys. Rev. D

279

376

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show abstract

“…The well-known bimaximal structure has the mixing matrix (Barger et al, 1998) with θ 12 = arccos(Φ/2) and θ 23 = −π/4. Finally, the socalled hexagonal mixing (Albright et al, 2010;Giunti, 2003;Xing, 2003) is described by the matrix which corresponds to the mixing angles θ 12 = π/6 and θ 23 = −π/4. As in the TB case, the above mixing schemes predict the mixing angle θ 13 = 0 and therefore no Dirac-type CP violation.…”

mentioning

confidence: 99%

LeptonicCPviolation

Branco¹,

Felipe

Joaquim³

2012

Rev. Mod. Phys.

205

188

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Several topics on CP violation in the lepton sector are reviewed. A few theoretical aspects concerning neutrino masses, leptonic mixing, and CP violation will be covered, with special emphasis on seesaw models. A discussion is provided on observable effects which are manifest in the presence of CP violation, particularly, in neutrino oscillations and neutrinoless double beta decay processes, and their possible implications in collider experiments such as the LHC. The role that leptonic CP violation may have played in the generation of the baryon asymmetry of the Universe through the mechanism of leptogenesis is also discussed.

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“…it is the first column of the TB mixing matrix, corresponding to m 1 = 0. We conclude that the neutrino mass matrix leads to so-called TM 1 mixing [32][33][34][35][36][37][38], in which the first column of the mixing matrix is fixed to be that of the TB mixing matrix, but the other two columns are not uniquely determined, Since the neutrino mass matrix yields TM 1 mixing as discussed above, it can be block diagonalised by the TB mixing matrix, It only remains to put m ν block into diagonal form, with real positive masses, which can be done exactly analytically of course, since this is just effectively a two by two complex symmetric matrix which may be diagonalised with a rotation angle θ ν 23 . This procedure leads to the following exact analytic results for neutrino masses and lepton mixing parameters [30].…”

Section: Jhep09(2016)023mentioning

confidence: 73%

“…The starting point for our approach here is the observation that eq. (1.2) leads to trimaximal TM 1 mixing [32][33][34][35][36][37][38], in which the first column of the tri-bimaximal mixing matrix [39] is preserved. The inspiration for our approach comes from the semi-direct model of trimaximal TM 1 mixing that was developed in [40] in which, denoting the three generators of S 4 as S, U, T , the model preserves a 1 In general, neutrino mass models based on discrete family symmetry may be classified into three types [31]: direct, semi-direct and indirect, depending on the residual symmetry preserved in the neutrino and charged lepton sectors.…”

Section: Jhep09(2016)023mentioning

confidence: 99%

Littlest Seesaw model from S 4 × U(1)

King

Luhn

2016

J. High Energ. Phys.

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We show how a minimal (littlest) seesaw model involving two right-handed neutrinos and a very constrained Dirac mass matrix, with one texture zero and two independent Dirac masses, may arise from S 4 ×U(1) symmetry in a semi-direct supersymmetric model. The resulting CSD3 form of neutrino mass matrix only depends on two real mass parameters plus one undetermined phase. We show how the phase may be fixed to be one of the cube roots of unity by extending the S 4 × U(1) symmetry to include a product of Z 3 factors together with a CP symmetry, which is spontaneously broken leaving a single residual Z 3 in the charged lepton sector and a residual Z 2 in the neutrino sector, with suppressed higher order corrections. With the phase chosen from the cube roots of unity to be −2π/3, the model predicts a normal neutrino mass hierarchy with m 1 = 0, reactor angle θ 13 = 8.7 • , solar angle θ 12 = 34 • , atmospheric angle θ 23 = 44 • , and CP violating oscillation phase δ CP = −93 • , depending on the fit of the model to the neutrino masses.

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Possible alternatives to tri-bimaximal mixing

Cited by 230 publications

References 90 publications

Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with6.6×1020protons on target

Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with6.6×1020protons on target

LeptonicCPviolation

Littlest Seesaw model from S 4 × U(1)

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