SO(10) group theory for the unified model building

Fukuyama, Takeshi; Ilakovac, Amon; Kikuchi, T.; Meljanac, Stjepan; Okada, Nobuchika

doi:10.1063/1.1847709

Cited by 140 publications

(157 citation statements)

References 35 publications

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“…Tuning down of the (2, 2, 1) mass cannot have much impact on the unification constraints, but (2, 2, 15) is a large field and could in principle cause trouble. However, its contribution is actually tiny, since the differences in the corresponding β-function coefficients (b 2 − b 3 ) (2,2,15) and (b 1 −b 2 ) (2,2,15) (in the usual notation) are very small. It should nevertheless be taken into account when studying unification constraints.…”

Section: Who Is the Light Higgs?mentioning

confidence: 99%

Yukawa sector in nonsupersymmetric renormalizable SO(10)

et al. 2006

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We discuss the ordinary, non-supersymmetric SO(10) as a theory of fermion masses and mixings. We construct two minimal versions of the Yukawa sector based on 126H and either 10H or 120H. The latter case is of particular interest since it connects the absolute neutrino mass scale with the size of the atmospheric mixing angle θA. It also relates the smallness of V cb with the largeness of θA. These results are based on the analytic study of the second and third generations. Furthermore, we discuss the structure of the light Higgs and the role of the Peccei-Quinn symmetry for dark matter and the predictivity of the theory.

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Section: Who Is the Light Higgs?mentioning

confidence: 99%

Yukawa sector in nonsupersymmetric renormalizable SO(10)

et al. 2006

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“…The details of group theoretical arguments of SO(10) are given in [60] [61]. So the Higgs fields which can construct SO(10) singlet with bi-product of above fermions are 10, 120, and 126.…”

Section: Yukawa Couplingmentioning

confidence: 99%

So(10) Gut in Four and Five Dimensions: A Review

Fukuyama

2013

Int. J. Mod. Phys. A

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We review SO(10) grand unified theories (GUTs) in four and five dimensions (4D and 5D). The renormalizable minimal SO(10) SUSY GUT is the central theme of this review. It is very predictive and makes it possible to construct all mass matrices including those of the Dirac and heavy right-handed Majorana neutrinos. So it is not only able to reproduce all the low energy data, except for too larger θ 13 in the lepton mixing angles (which can be evaded without spoiling the basic ingredients), but also predicts almost all new physics beyond the standard model (SM) like neutrinoless double beta decay, the electric and magnetic dipole moments of the quark-lepton, lepton flavour violation, leptogenesis etc. To be very predictive, on the other hand, implies that predictions are unambiguous and they are always exposed to severe compatibilities with observations as well as to a conceptual consistency check. The explicit construction of the Higgs superpotential and the explicit display of a symmetry breaking pattern from GUT to the SM show that the naive desert from the SM to GUT in the minimal supersymmetric standard model (MSSM) is a too simplified concept and we have many definitely determined intermediate energy scales in general. This situation destroys the naive gauge coupling unification in the MSSM scheme. Also the precise measurements of neutrino oscillation data have revealed several small but manifest mismatches with our predictions. Also there are arguments that it is impossible to construct a GUT theory in 4D with a finite number of multiplets that leads to the MSSM with a residual R symmetry. Of course, there are several loopholes which solve these problems in 4D. However, if we try to solve all these pathologies comprehensively, it is very attractive for us to go into extra dimensions. Extra dimension may be either warped or flat. The fifth dimension, for simplicity, is compactified on the S 1 /(Z 2 ) (warped) or on the S 1 /(Z 2 × Z ′ 2 ) (flat) orbifold with two inequivalent branes at the orbifold fixed points. In the former warped case, intermediate energy scales are translated with the positions of Higgs fields in the bulk and the fundamental scheme of the MSSM is recovered. On the other hand, in the latter flat scenario, all matter and Higgs multiplets reside on the Pati-Salam (PS) brane where the PS symmetry is manifest. There the original renormalizablity in Yukawa coupling is broken but its essential structures of mass matrices in minimal SO(10) GUT in 4D is promoted to the PS invariant action in 4D. In the gaugino mediation mechanism, the SO(10) gauge multiplet is transmitted to the PS brane through the gaugino mediation with bulk gauge multiplet. Further breaking of the PS gauge group to the SM group is realized by VEVs of the Higgs multiplets (4, 1, 2) ⊕ (4, 1, 2). We show that this model not only cures all pathologies in SO(10) GUT in 4D but also provides the consistent inflation scenario and dark matter candidate and leptogenesis. The gauge coupling unification is successfully realized at ...

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“…The ultimate GUT scale theory in this model is supersymmetric. At first we carry out fine tuning in the GUT-scale superpotential [19] to have two Higgs doublets at the weak scale: one with mass in the hundreds of GeV range and a second one with mass in the TeV range. These two doublets can arise in SO(10) models with two 10 fields at the GUT scale.…”

Section: III Split-susy Example With Precision Unificationmentioning

confidence: 99%

Type-II seesaw dominance in nonsupersymmetric and split-supersymmetrySO(10)models and proton lifetime

Mohapatra

Parida

2011

Phys. Rev. D

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Recently type II seesaw in a supersymmetric SO(10) framework has been found useful in explaining large solar and atmospheric mixing angles as well as a larger value of θ13 while unifying quark and lepton masses. An important question in these models is whether there exists consistency between coupling unification and type II seesaw dominance. Scenarios where this consistency can be demonstrated have been given in a SUSY framework. In this paper we give examples where type II dominance occurs in SO(10) models without supersymmetry but with additional TeV scale particles and also in models with split-supersymmetry. Grand unification is realized in a two step process via breaking of SO(10) to SU (5) and then to a TeV scale standard model supplemented by extra fields and an SU(5) Higgs multiplet 15H at a scale of about 10 12 GeV to give type II seesaw. The predictions for proton lifetime in these models are in the range τ 0 p = 2 × 10 35 yrs. to 6 × 10 35 yrs. A number of recent numerical fits to GUT-scale fermion masses can be accommodated within this model.

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SO(10) group theory for the unified model building

Abstract: The complete tables of Clebsch-Gordan (CG) coefficients for a wide class of SO(10) SUSY grand unified theories (GUTs) are given. Explicit expressions of states of all corresponding multiplets under standard model gauge group

Cited by 140 publications

References 35 publications

Yukawa sector in nonsupersymmetric renormalizable SO(10)

Yukawa sector in nonsupersymmetric renormalizable SO(10)

So(10) Gut in Four and Five Dimensions: A Review

Type-II seesaw dominance in nonsupersymmetric and split-supersymmetrySO(10)models and proton lifetime

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