Minimal supersymmetric SO(10) model and predictions for neutrino mixings and leptonic<i>CP</i>violation

Recently SO(10) models with type-II see-saw dominance have been proposed as a promising framework for obtaining Grand Unification theories with approximate Tribimaximal (TB) mixing in the neutrino sector. We make a general study of SO(10) models with type-II see-saw dominance and show that an excellent fit can be obtained for fermion masses and mixings, also including the neutrino sector. To make this statement more significant we compare the performance of type-II see-saw dominance models in fitting the fermion masses and mixings with more conventional models which have no built-in TB mixing in the neutrino sector. For a fair comparison the same input data and fitting procedure is adopted for all different theories. We find that the type-II dominance models lead to an excellent fit, comparable with the best among the available models, but the tight structure of this framework implies a significantly larger amount of fine tuning with respect to other approaches.

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“…literature [44,[49][50][51][52][53][54] and found tricky but not impossible [56]. The neutrino mass formula then becomes …”

Section: Jhep03(2011)133mentioning

confidence: 99%

Different SO(10) paths to fermion masses and mixings

Altarelli

Blankenburg

2011

J. High Energ. Phys.

135

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“…This can be achieved by constructing a low energy effective theory with the SM and some discrete non-Abelian family symmetry and, subsequently, embedding this theory into Grand Unified Theory (GUT) models like SO(10) [1]. For this reason, the discrete symmetry will have to be a subgroup of SO(3) or SU(3) [2].…”

Section: Introductionmentioning

confidence: 99%

Phenomenological analysis of hybrid textures of neutrinos

2010

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We present a comprehensive phenomenological analysis of the allowed hybrid textures of neutrinos. Out of a total of sixty hybrid textures with one equality between the elements of neutrino mass matrix and one texture zero only twenty three are found to be viable at 99% C.L. whereas the earlier analysis found fifty four to be viable. We examine the phenomenological implications of the allowed hybrid textures including Majorana type CP-violating phases, 1-3 mixing angle and Dirac type CP-violating phase, δ. We, also, obtain lower bound on effective Majorana mass for all the allowed hybrid textures.

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“…Thus, the selection of A 2 type neutrino mass matrices will have important implications for GUTs. On the other hand, there exist models based on minimal supersymmetric SO(10) [9], for example, which predict neutrino mass matrices of type A 1 . An interesting way of realizing the textures zeros is the triplet Higgs model based on an abelian discrete symmetry [10] under which the transformation properties of ν 2 and ν 3 get interchanged in neutrino mass matrices of type A 1 and A 2 .…”

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confidence: 99%

Phenomenological implications of a class of neutrino mass matrices

et al. 2007

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The generic predictions of two-texture zero neutrino mass matrices of class A in the flavor basis have been reexamined especially in relation to the degeneracy between mass matrices of types A 1 and A 2 and interesting constraints on the neutrino parameters have been obtained. It is shown that the octant of θ 23 and the quadrant of the Diractype CP-violating phase δ can be used to lift this degeneracy.Mass matrices provide important tools for the investigation of the underlying symmetries and the resulting dynamics. The first step in this direction is the reconstruction of the neutrino mass matrix in the flavor basis. However, the reconstruction results in a large variety of possible structures of mass matrices depending strongly on the mass scale, mass hierarchy and the Majorana phases. However, the relatively weak dependence on some oscillation parameters (θ 23 and δ) results in the degeneracy of possible neutrino mass matrices since all the parameters are not known at present. The mass matrix for Majorana neutrinos contains nine physical parameters including the three mass eigenvalues, three mixing angles and the three CP-violating phases. The two squared-mass differences (∆m 2 21 and ∆m 2 32 ) and the two mixing angles (θ 12 and θ 23 ) have been measured in solar, atmospheric and reactor experiments. The third mixing angle θ 13 and the Dirac-type CP-violating phase δ are expected to be measured in the forthcoming neutrino oscillation experiments. The possible measurement of the effective Majorana mass in neutrinoless double β decay searches will provide an additional constraint on the remaining three neutrino parameters viz. the neutrino mass scale and two Majorana CP violating phases. While the neutrino mass scale will be determined by the direct beta decay searches and cosmological observations, the two Majorana phases will not be uniquely determined even if the absolute neutrino mass scale is known. Under the circumstances, it is natural to employ other theoretical inputs * dev5703@yahoo.com † sanjeev3kumar@yahoo.co.in ‡ s 7verma@yahoo.co.in § shiroberts 1980@yahoo.co.in 1 for the reconstruction of the neutrino mass matrix. Several proposals have been made in the literature to restrict the form of the neutrino mass matrix and to reduce the number of free parameters which include presence of texture zeros [1,2,3,4], requirement of zero determinant [5,6] and the zero trace condition [7] to name a few. However, the current neutrino oscillation data are consistent only with a limited number of texture schemes [1,2,3,4]. In particular, the current neutrino oscillation data disallow all neutrino mass matrices with three or more texture zeros in the flavor basis. Out of the fifteen possible neutrino mass matrices with two texture zeros, only seven are compatible with the current neutrino oscillation data. The seven allowed two texture zero mass matrices have been classified into three categories. The two class A matrices of the types A 1 and A 2 give hierarchical neutrino masses. The class B matrices of ...

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Minimal supersymmetric SO(10) model and predictions for neutrino mixings and leptonicCPviolation

Cited by 170 publications

References 55 publications

Different SO(10) paths to fermion masses and mixings

Different SO(10) paths to fermion masses and mixings

Phenomenological analysis of hybrid textures of neutrinos

Phenomenological implications of a class of neutrino mass matrices

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