2006
DOI: 10.1142/s0217751x0603391x
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An Approach to Permutation Symmetry for the Electroweak Theory

Abstract: The form of the leptonic mixing matrix emerging from experiment has, in the last few years, generated a lot of interest in the so-called tribimaximal type. This form may be naturally associated with the possibility of a discrete permutation symmetry (S 3 ) among the three generations.However, trying to implement this attractive symmetry has resulted in some problems and it seems to have fallen out of favor. We suggest an approach in which the S 3 holds to first approximation, somewhat in the manner of the old … Show more

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Cited by 50 publications
(58 citation statements)
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“…It may be seen from Table I of [8] that this is plausible for a large range of possible fits to the data. However such an assumption at first seems inconsistent with permutation symmetry which suggests two of the three neutrinos to be degenerate (however not the two "solar" neutrinos) and different in mass from the third.…”
mentioning
confidence: 70%
See 1 more Smart Citation
“…It may be seen from Table I of [8] that this is plausible for a large range of possible fits to the data. However such an assumption at first seems inconsistent with permutation symmetry which suggests two of the three neutrinos to be degenerate (however not the two "solar" neutrinos) and different in mass from the third.…”
mentioning
confidence: 70%
“…The proposed solution to this problem called for the introduction of a Majorana type phase, which does not affect the usual neutrino oscillations but does affect the rate for neutrinoless double beta decay. The complications involved in obtaining a suitable Higgs scheme for both the neutrino mass matrix and the charged lepton mass matrix (which can be arranged to be proportional to the unit matrix) in this approach are discussed in some detail in [8]. Of course, many interesting different models for neutrinos based on permutation symmetry have been discussed for a long time [11]- [17].…”
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confidence: 99%
“…In [20] we proposed a model for the neutrino masses and mixings which involved the implementation of the S 3 symmetry into the lepton sector of the standard model. This model was further studied in [21], [22], [23] where perturbation symmetric under S 2 subgroups of S 3 were applied and also a possible CP violation phase was considered.…”
Section: Short Review Of An S3 Symmetric Modelmentioning
confidence: 99%
“…[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] Special attention has been paid to the S 3 group because the tribimaximal matrix is just the transformation matrix which decomposes the three-dimensional reducible representation into a sum of two-and one-dimensional irreducible pieces.…”
Section: Introductionmentioning
confidence: 99%