ID: hep-ph/0311127

Model Building with Gauge-Yukawa Unification

November 10, 2003

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Gauge-Yukawa Unified Models

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J. Kanazawa Univ. Kubo, M. IF-UNAM, Mexico Mondragon, G. Nat. Tech. Univ., Athens Zoupanos
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Gauge-Yukawa Unification (GYU) is obtained in GUTs by searching for renormalization group invariant relations among gauge and Yukawa couplings beyond the unification scale. Of particular interest are two supersymmetric GUTs, the finite and the minimal SU(5) models. Both models provided us,among others,with predictions of the top quark mass which so far have passed successfully the tests of progressively more accurate measurements.

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Ralf Hempfling
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We study the effects of additional fields on the unification of gauge couplings in supersymmetric models. We find that the effects are quite constrained by the requirement of SU(5) gauge invariance. In general, we find that any extension of the MSSM will form complete SU(5) multiplets or spoil gauge coupling unification.

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Supersymmetric SO(10) Models Inspired by Deconstruction

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Chao-Shang Huang, Jing Jiang, Tianjun Li
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We consider 4-dimensional N=1 supersymmetric SO(10) models inspired by deconstruction of 5-dimensional N=1 supersymmetric orbifold SO(10) models and high dimensional non-supersymmetric SO(10) models with Wilson line gauge symmetry breaking. We discuss the $SO(10) \times SO(10)$ models with bi-fundamental link fields where the gauge symmetry can be broken down to the Pati-Salam, $SU(5) \times U(1)$, flipped $SU(5) \times U(1)'$ or the standard model like gauge symmetry. We als...

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Model building by coset space dimensional reduction in eight-dimensions

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Toshifumi Jittoh, Masafumi Koike, Takaaki Nomura, ... , Toyama Yutsuki
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We investigate gauge-Higgs unification models in eight-dimensional spacetime where extra-dimensional space has the structure of a four-dimensional compact coset space. The combinations of the coset space and the gauge group in the eight-dimensional spacetime of such models are listed. After the dimensional reduction of the coset space, we identified $\mathrm{SO}(10)$, $\mathrm{SO}(10) \times \mathrm{U}(1)$ and $\mathrm{SO}(10) \times \mathrm{U}(1) \times \mathrm{U}(1)$ as the...

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Lawrence Hall, Yasunori Nomura
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A complete 5-dimensional SU(5) unified theory is constructed which, on compactification on the orbifold with two different Z_2's (Z_2 and Z_2'), yields the minimal supersymmetric standard model. The orbifold accomplishes SU(5) gauge symmetry breaking, doublet-triplet splitting, and a vanishing of proton decay from operators of dimension 5. Until 4d supersymmetry is broken, all proton decay from dimension 4 and dimension 5 operators is forced to vanish by an exact U(1)_R symme...

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Yukawa Sector of Minimal SO(10) Unification

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K. S. Babu, Borut Bajc, Shaikh Saad
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We show that in SO(10) models, a Yukawa sector consisting of a real $10_H$, a real $120_H$ and a complex $126_H$ of Higgs fields can provide a realistic fit to all fermion masses and mixings, including the neutrino sector. Although the group theory of SO(10) demands that the $10_H$ and $120_H$ be real, most constructions complexify these fields and impose symmetries exterior to SO(10) to achieve predictivity. The proposed new framework with real $10_H$ and real $120_H$ relies...

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Higgs and SUSY Particle Predictions from SO(10) Yukawa Unification

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Stuart Raby
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In this talk we assume SO(10) boundary conditions at the GUT scale, including unification for the third generation Yukawa couplings $\lambda_t = \lambda_b = \lambda_\tau$. We find that this assumption is only consistent with the low energy data in a narrow region of soft SUSY breaking parameter space. We discuss the consequences of this result for Higgs and SUSY searches.

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In this talk, we present a minimal viable scenario that unifies the gauge symmetries of the Standard Model (SM) and their breaking sector. Our Gauge-Higgs Grand Unification setup employs 5D warped space with a $SU(6)$ bulk gauge field that includes both a $SU(5)$ grand unified theory (GUT) and a Higgs sector as a scalar component of the 5D vector field, solving the hierarchy problem. By appropriately breaking the gauge symmetry on the boundaries of the extra dimension the iss...

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Paul Langacker
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The current status of gauge unification is surveyed both in the standard model and its minimal supersymmetric extension. Implications for proton decay, Yukawa unification, and the Higgs mass are described.

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New Models of $SU(6)$ Grand Gauge-Higgs Unification

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Nobuhito Maru, Ryujiro Nago
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A five dimensional $SU(6)$ grand gauge-Higgs unification compactified on $S^1/Z_2$ is discussed. We propose new sets of the $SU(6)$ representations where the quarks and leptons in one generation are embedded and there is no extra massless exotic fermions absent in the Standard Model. The correct electroweak symmetry breaking pattern can be realized by introducing some adjoint fermions. We also analyze whether a viable Higgs mass can be obtained.

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