2012
DOI: 10.1007/jhep11(2012)139
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Repressing anarchy in neutrino mass textures

Abstract: Abstract:The recent results that θ 13 is relatively large, of the order of the previous upper bound, and the indications of a sizable deviation of θ 23 from the maximal value are in agreement with the predictions of Anarchy in the lepton sector. The quark and charged lepton hierarchies can then be reproduced in a SU(5) GUT context by attributing nonvanishing U(1) FN charges, different for each family, only to the SU(5) tenplet states. The fact that the observed mass hierarchies are stronger for up quarks than … Show more

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Cited by 71 publications
(76 citation statements)
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References 77 publications
(88 reference statements)
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“…It is particularly interesting that the present SO(10) GUT can give rise to fermion mass matrices similar to the ones obtained in SU(5)×U(1) FN models [66][67][68][69], very effective in reconciling the nearly anarchical pattern of neutrinos with the hierarchical one of charged fermions. Here we do not aim at a fully realistic model and we deliberately leave apart several important issues, such as gauge coupling unification and the problem of proton decay.…”
Section: Jhep09(2014)095mentioning
confidence: 52%
“…It is particularly interesting that the present SO(10) GUT can give rise to fermion mass matrices similar to the ones obtained in SU(5)×U(1) FN models [66][67][68][69], very effective in reconciling the nearly anarchical pattern of neutrinos with the hierarchical one of charged fermions. Here we do not aim at a fully realistic model and we deliberately leave apart several important issues, such as gauge coupling unification and the problem of proton decay.…”
Section: Jhep09(2014)095mentioning
confidence: 52%
“…In addition each entry acquires a random phase from 0 to 2π, and M N is symmetrised. Following [55] we take λ ≈ 0. Having chosen viable neutrino models we calculate the widths of the right handed neutrino states (see appendix A) and estimate ∆N eff following the numerical procedure described in appendix B.…”
Section: Jhep07(2017)023mentioning
confidence: 99%
“…An estimation of the range of value it may acquire takes into consideration that ǫ should remain in the perturbative regime and that the value of v Φ is expected to be not so much smaller than Λ Φ (without a dynamical mechanism to explain it). In this letter, ǫ is taken in the interval [0.01, 0.3], consistently with previous studies on FN models [6,7]. The logarithm in eq.…”
Section: Jhep10(2017)168mentioning
confidence: 90%
“…Once the scalar field φ, typically called flavon, develops a vacuum expectation value (VEV) the flavour symmetry is spontaneously broken and the Yukawa matrices can be written in terms of powers of φ /Λ F . Fermion mass hierarchies and mixing angles can then be explained by an appropriate choice of the FN charges [2][3][4][5][6][7]. The large number of free parameters, one for each entry of the Yukawa matrices, has the drawback of lowering the predictive power of the model: any value of fermion masses and mixings can indeed be reproduced.…”
Section: Introductionmentioning
confidence: 99%