Constraints from unification in SU(5) and SUSY SU(5)

Astorga, Francisco

doi:10.1088/0954-3899/20/2/005

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…Here, we ought to stress a point. Because we have extended the Higgs sector, gauge coupling unification is not guaranteed, since the Renormalization Group Equations (RGE) depend strongly on the number of Higgs families [51,52]. This is a drawback in the present model, and it is the price we have to pay for going beyond the minimal SUSY SU(5) model.…”

Section: Susy Sumentioning

confidence: 96%

$Q_{6}$ As The Flavour Symmetry in a Non-minimal SUSY $SU(5)$ Model

Gómez-Izquierdo¹,

Canales²,

Mondragón³

2013

Preprint

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We present a non-minimal renormalizable SUSY SU (5) model, with extended Higgs sector and right-handed neutrinos, where the flavour sector exhibits a Q 6 flavour symmetry. We analysed the simplest version of this model, in which R-parity is conserved and the right-handed neutrino masses in the flavour doublet are considered with and without degeneration. We find the generic form of the mass matrices both in the quark and lepton sectors. We reproduce, according to current data, the mixing in the CKM matrix. In the leptonic sector, in the general case where the right-handed neutrino masses are not degenerate, we find that the values for the solar, atmospheric, and reactor mixing angles are in very good agreement with the experimental data, both for a normal and an inverted hierarchy. In the particular case where the right handed neutrinos masses are degenerate, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. In this case the atmospheric and solar angles are in very good agreement with experimental data, and the reactor one is different from zero, albeit too small (θ ℓ th 13 ∼ 3.38 • ). This value constitues a lower bound for θ 13 in the general case. We also find the range of values for the neutrino masses in each case.

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Section: Susy Sumentioning

confidence: 96%

$Q_{6}$ As The Flavour Symmetry in a Non-minimal SUSY $SU(5)$ Model

Gómez-Izquierdo¹,

Canales²,

Mondragón³

2013

Preprint

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“…Here, we ought to stress a point. Because we have extended the Higgs sector, gauge coupling unification is not guaranteed, since the Renormalization Group Equations (RGEs) depend strongly on the number of Higgs families [51,52]. This is a drawback in the present model, and it is the price we have to pay for going beyond the minimal [53,54].…”

Section: Susy Su(5) ⊗ Q 6 Modelmentioning

confidence: 99%

$$Q_{6}$$ Q 6 as the flavor symmetry in a non-minimal SUSY $$SU(5)$$ S U ( 5 ) model

2015

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We present a non-minimal renormalizable SUSY SU (5) model, with extended Higgs sector and right-handed neutrinos, where the flavor sector exhibits a Q 6 flavor symmetry. We analyzed the simplest version of this model, in which R-parity is conserved and the right-handed neutrino masses in the flavor doublet are considered with and without degeneracy. We find the generic form of the mass matrices both in the quark and lepton sectors. We reproduce, according to current data, the mixing in the CKM matrix. In the leptonic sector, in the general case where the right-handed neutrino masses are not degenerate, we find that the values for the solar, atmospheric, and reactor mixing angles are in very good agreement with the experimental data, both for a normal and an inverted hierarchy. In the particular case where the right-handed neutrinos masses are degenerate, the model predicts a strong inverted hierarchy spectrum and a sum rule among the neutrino masses. In this case the atmospheric and solar angles are in very good agreement with experimental data, and the reactor one is different from zero, albeit too small (θ th 13 ∼ 3.38 • ). This value constitutes a lower bound for θ 13 in the general case. We also find the range of the values for the neutrino masses in each case.

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“…They can be found in [11]. The coefficients for the evolution of the SM embedded in a larger group and its SUSY extension can be found in [12].…”

Section: Appendix β-Coefficientsmentioning

confidence: 99%

Two-intermediate-scale unification analysis of supersymmetricSO(10) at a two-loop level

Astorga¹

1999

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

Self Cite

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The process of unification within a supersymmetric left-right (SUSY L-R) model embedded in SO(10) is parametrized in terms of two intermediate scales (one at which L-R symmetry is broken and a second one at which supersymmetry breaks down to the standard model), the numbers of fermion families (F) and scalar multiplets (S), and the value of the strong coupling (0s), which we take to be between 0.110 and 0.130. The analysis is carried out at a two-loop level and analytical expressions for the first-order case are also given. We compare the results of this analysis with those obtained for SUSY SU(5) and L-R SO(10), among which similar analyses have revealed significant differences in the structure of unification within these models. Unlike L-R SO(10), it is found that the Higgs contribution is indispensable to attain unification. It also turns out that a two-intermediate-scale scenario allows more freedom in the actual values of these scales constrained by unification.

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Constraints from unification in SU(5) and SUSY SU(5)

Cited by 4 publications

References 26 publications

$Q_{6}$ As The Flavour Symmetry in a Non-minimal SUSY $SU(5)$ Model

$Q_{6}$ As The Flavour Symmetry in a Non-minimal SUSY $SU(5)$ Model

$$Q_{6}$$ Q 6 as the flavor symmetry in a non-minimal SUSY $$SU(5)$$ S U ( 5 ) model

Two-intermediate-scale unification analysis of supersymmetricSO(10) at a two-loop level

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