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Gauge-Yukawa unification in SO(10) SUSY GUTs

Kubo, J, Mondragón, M N, Shoda, S, Zoupanos, George

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Abstract

We study supersymmetric unified models with three fermion generations based on the gauge group SO(10) and require gauge-Yukawa unification, i.e. a renormalization group invariant functional relationship among the gauge and Yukawa couplings of the third generation in the symmetric phase. In the case of the minimal model, we find that the predicted values for the top and bottom quark masses are in agreement with the present experimental data for a wide range of supersymmetry breaking scales. We also find that an experimental accuracy of less than 1% for the top quark mass could test the corresponding prediction of the gauge-Yukawa unified model.

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What this paper is about

We study supersymmetric unified models with three fermion generations based on the gauge group SO(10) and require gauge-Yukawa unification, i.e. a renormalization group invariant functional relationship among the gauge and Yukawa couplings of the third generation in the symmetric phase. In the case of the minimal model, we find that the predicted values for the top and bottom quark masses are in agreement with the present experimental data for a wide range of supersymmetry breaking scales. We also find that an experimental accuracy of less than 1% for the top quark mass could test the corresponding prediction of the gauge-Yukawa unified model.

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Available abstract

We study supersymmetric unified models with three fermion generations based on the gauge group SO(10) and require gauge-Yukawa unification, i.e. a renormalization group invariant functional relationship among the gauge and Yukawa couplings of the third generation in the symmetric phase. In the case of the minimal model, we find that the predicted values for the top and bottom quark masses are in agreement with the present experimental data for a wide range of supersymmetry breaking scales. We also find that an experimental accuracy of less than 1% for the top quark mass could test the corresponding prediction of the gauge-Yukawa unified model.

Key concepts: Yukawa potential, Physics, Particle physics, Supersymmetry, Grand Unified Theory, Renormalization group, Supersymmetry breaking, Gauge (firearms)

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