μ–τ antisymmetry and neutrino mass matrices

Grimus, Walter; Kaneko, Satoru; Lavoura, L.; Sawanaka, Hideyuki; Tanimoto, Morimitsu

doi:10.1088/1126-6708/2006/01/110

Cited by 37 publications

(27 citation statements)

References 27 publications

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“…Other models with Z 2 symmetries have been considered [125]. For example, in [126] one such symmetry has been considered leading to a maximal atmospheric mixing angle θ 23 , its breaking inducing a nonzero value of θ 13 in a way that strongly depends on the neutrino mass hierarchy.…”

Section: Predicting Neutrino Oscillation Parametersmentioning

confidence: 99%

CP violation and neutrino oscillations

Nunokawa

Parke

Valle

2008

Progress in Particle and Nuclear Physics

254

297

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We review the basic mechanisms of neutrino mass generation and the corresponding structure of the lepton mixing matrix. We summarize the status of three-neutrino oscillation parameters as determined from current observations, using state-of-the-art solar and atmospheric neutrino fluxes, as well as latest experimental data as of September 2007. We also comment on recent attempts to account for these results and to understand flavour from first principles. We discuss extensively the prospects for probing the strength of CP violation in two near term accelerator neutrino oscillation experiments, T2K and NOνA, as well as possible extensions such as T2KK and a second large off-axis detector near the NOνA detector. We also briefly discuss the possibility of probing the effect of Majorana phases in future neutrinoless double beta decay searches and discuss other implications of leptonic CP violation such as leptogenesis. Finally we comment on the issue of robustness of the current oscillation interpretation and possible ways of probing for non-standard neutrino interactions in precision oscillation studies.

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Section: Predicting Neutrino Oscillation Parametersmentioning

confidence: 99%

CP violation and neutrino oscillations

Nunokawa

Parke

Valle

2008

Progress in Particle and Nuclear Physics

254

297

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“…Further, the formulation of a viable scheme of baryogenesis via leptogenesis within this scenario is a challenging task. There has also been a substantial amount of work with discrete flavor symmetries of the light neutrino Majorana mass matrix: specifically real µτ permutation symmetry [22][23][24][25][26][27][28][29][30][31] and its complex (CP) extension [32][33][34] as well as real µτ permutation antisymmetry [35] but not the complex (CP) extension of that. This last mentioned topic will be the subject of our attention in this paper with the aim of predicting the neutrino CP phases.…”

Section: Introductionmentioning

confidence: 99%

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Samanta

Roy

Ghosal

2018

J. High Energ. Phys.

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We propose a complex extension of µτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) extension of µτ permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N 1 and N 2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or π. We further provide an uptodate discussion of the ββ0ν process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N 1 only matters here with the asymmetry produced by N 2 being washed out. Tight upper and lower bounds on the mass of N 1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N 2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix.

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“…• Neutrino mass matrix displaying a specific flavour antisymmetry namely, µ-τ antisymmetry was studied in [55]. This antisymmetry was assumed there to hold in the neutrino flavour basis.…”

Section: Discussionmentioning

confidence: 99%

Neutrino masses and mixing from flavour antisymmetry

Joshipura¹

2015

J. High Energ. Phys.

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We discuss consequences of assuming (i) that the (Majorana) neutrino mass matrix M ν displays flavour antisymmetry, S T ν M ν S ν = −M ν with respect to some discrete symmetry S ν contained in SU(3) and (ii) S ν together with a symmetry T l of the Hermitian combination M l M † l of the charged lepton mass matrix forms a finite discrete subgroup G f of SU(3) whose breaking generates these symmetries. Assumption (i) leads to at least one massless neutrino and allows only four textures for the neutrino mass matrix in a basis with a diagonal S ν if it is assumed that the other two neutrinos are massive. Two of these textures contain a degenerate pair of neutrinos. Assumption (ii) can be used to determine the neutrino mixing patterns. We work out these patterns for two major group series ∆(3N 2 ) and ∆(6N 2 ) as G f . It is found that all ∆(6N 2 ) and ∆(3N 2 ) groups with even N contain some elements which can provide appropriate S ν . Mixing patterns can be determined analytically for these groups and it is found that only one of the four allowed neutrino mass textures is consistent with the observed values of the mixing angles θ 13 and θ 23 . This texture corresponds to one massless and a degenerate pair of neutrinos which can provide the solar pair in the presence of some perturbations. The well-known groups A 4 and S 4 provide examples of the groups in respective series allowing correct θ 13 and θ 23 . An explicit example based on A 4 and displaying a massless and two quasi degenerate neutrinos is discussed.

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μ–τ antisymmetry and neutrino mass matrices

Cited by 37 publications

References 27 publications

CP violation and neutrino oscillations

CP violation and neutrino oscillations

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Neutrino masses and mixing from flavour antisymmetry

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