A discrete symmetry group for maximal atmospheric neutrino mixing

Grimus, Walter; Lavoura, L.

doi:10.1016/j.physletb.2003.08.032

Cited by 269 publications

(331 citation statements)

References 26 publications

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“…As we then deal with the Dirac neutrino mass matrix and the right-handed Majorana mass matrix, these mass matrices can preserve different subgroups of the flavor symmetry. This is, for example, the case in the models [15,16] by Grimus and Lavoura 15 . The situation can be even more complicated, if the model also includes Higgs triplets.…”

Section: Discussionmentioning

confidence: 85%

θ_Cfrom the dihedral flavor symmetriesD₇andD₁₄

Blum

Hagedorn

Hohenegger

2008

J. High Energy Phys.

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In [1] it has been shown that the Cabibbo angle θ C might arise from a dihedral flavor symmetry which is broken to different (directions of) subgroups in the up and the down quark sector. This leads to a prediction of θ C in terms of group theoretical quantities only, i.e. the index n of the dihedral group D n , the index j of the fermion representation 2 j and the preserved subgroups indicated by m u and m d . Here we construct a low energy model which incorporates this idea. The gauge group is the one of the Standard Model and D 7 × Z (aux) 2 serves as flavor symmetry. The additional Z (aux) 2 is necessary in order to maintain two sets of Higgs fields, one which couples only to up quarks and another one coupling only to down quarks. We assume that D 7 is broken spontaneously at the electroweak scale by vacuum expectation values of SU (2) L doublet Higgs fields. The quark masses and mixing parameters can be accommodated well. Furthermore, the potential of the Higgs fields is studied numerically in order to show that the required configuration of the vacuum expectation values can be achieved. We also comment on more minimalist models which explain the Cabibbo angle in terms of group theoretical quantities, while θ q 13 and θ q 23 vanish at leading order. Finally, we perform a detailed numerical study of the lepton mixing matrix V MN S in which one of its elements is entirely determined by the group theory of a dihedral symmetry. Thereby, we show that nearly tri-bi-maximal mixing can also be produced by a dihedral flavor group with preserved subgroups.

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Section: Discussionmentioning

confidence: 85%

θ_Cfrom the dihedral flavor symmetriesD₇andD₁₄

Blum

Hagedorn

Hohenegger

2008

J. High Energy Phys.

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“…In order to see these evolutions, we take D 2 /λ = 1eV 2 in eq. (27) Evolutions of w versus z are shown in Figure 3. These behaviors of w are similar in three cases.…”

Section: Evolutions Of Neutrino Masses and Wmentioning

confidence: 99%

Embedding the texture of the neutrino mass matrix into the MaVaNs scenario

Honda¹,

Takahashi²,

Tanimoto³

2006

J. High Energy Phys.

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We have embedded the texture of the neutrino mass matrix with three families into the MaVaNs scenario. We take the power-law potential of the acceleron field and a typical texture of active neutrinos, which is derived by the D 4 symmetry and predicts the maximal mixing of the atmospheric neutrino and the vanishing U e3 . Three cases of couplings among the dark fermion and active neutrinos are examined with the current cosmological data and the terrestrial neutrino experimental data. It is found that the neutrino flavor mixings evolve as well as the neutrino masses. Especially, U e3 develops into the non-vanishing one and θ atm deviates from the maximal mixing due to couplings among the dark fermion and active neutrinos. *

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“…In this task, there are some differences among the scalar sectors and among the symmetries of the models of Refs. [4,5,6] which must be taken into consideration.…”

Section: The Yukawa Lagrangians and Kmentioning

confidence: 99%

“…[8]-instead of a certain 2 contained in the symmetry groups of Refs. [4,5]. The symmetries defining the models of Refs.…”

Section: Introductionmentioning

confidence: 99%

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Maximal atmospheric neutrino mixing and the small ratio of muon to tau mass

Grimus

Lavoura²

2004

J. Phys. G: Nucl. Part. Phys.

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We discuss the problem of the small ratio of muon mass to tau mass in a class of seesaw models where maximal atmospheric neutrino mixing is enforced through a µ-τ interchange symmetry. We introduce into those models an additional symmetry K such that m µ = 0 in the case of exact K invariance. The symmetry K may be softly broken in the Higgs potential, and one thus achieves m µ ≪ m τ in a technically natural way. We speculate on a wider applicability of this mechanism. *

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A discrete symmetry group for maximal atmospheric neutrino mixing

Cited by 269 publications

References 26 publications

θ_Cfrom the dihedral flavor symmetriesD₇andD₁₄

θ_Cfrom the dihedral flavor symmetriesD₇andD₁₄

Embedding the texture of the neutrino mass matrix into the MaVaNs scenario

Maximal atmospheric neutrino mixing and the small ratio of muon to tau mass

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A discrete symmetry group for maximal atmospheric neutrino mixing

Cited by 269 publications

References 26 publications

θCfrom the dihedral flavor symmetriesD7andD14

θCfrom the dihedral flavor symmetriesD7andD14

Embedding the texture of the neutrino mass matrix into the MaVaNs scenario

Maximal atmospheric neutrino mixing and the small ratio of muon to tau mass

Contact Info

Product

Resources

About

θ_Cfrom the dihedral flavor symmetriesD₇andD₁₄

θ_Cfrom the dihedral flavor symmetriesD₇andD₁₄