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arXiv 1011.0964hep-phhep-th
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高尺度超对称破缺标准模型中的正则规范耦合统一

Canonical Gauge Coupling Unification in the Standard Model with High-Scale Supersymmetry Breaking

Yun-Jie Huo, Tianjun Li, Dimitri V. Nanopoulos

摘要:

受F-理论大统一理论(GUTs)中的弦景观和统一规范耦合关系的启发,我们研究了具有高尺度超对称破缺的标准模型(SM)中的正则规范耦合统一和希格斯玻色子质量.在具有GUT尺度超对称破缺的SM中,我们在约5.3 x 10^{13} GeV处实现了规范耦合统一,预测希格斯玻色子的质量范围为130 GeV至147 GeV。在超对称破缺标度为10 ^{16} GeV ~ 5.3 x 10^{13} GeV的超对称模型中,规范耦合统一总是可以实现的,对应的统一大统一尺度M_U分别为10^{16} GeV ~ 5.3 x 10^{13} GeV。同时,我们还得到了希格斯玻色子的质量从114.4 GeV到147 GeV。此外,在GUT标度下,SM压力计联轴器之间的差异小于约4- 6%。进一步,我们从F理论模型建立和轨道结构出发,给出了SU(5)和SO(10)模型,并证明了即使M_U \le为5 × 10^{15} GeV,我们也不存在五维和六维质子衰变问题.

英文摘要:

Inspired by the string landscape and the unified gauge coupling relation in the F-theory Grand Unified Theories (GUTs) and GUTs with suitable high-dimensional operators, we study the canonical gauge coupling unification and Higgs boson mass in the Standard Model (SM) with high-scale supersymmetry breaking. In the SM with GUT-scale supersymmetry breaking, we achieve the gauge coupling unification at about 5.3 x 10^{13} GeV, and the Higgs boson mass is predicted to range from 130 GeV to 147 GeV. In the SM with supersymmetry breaking scale from 10^4 GeV to 5.3 x 10^{13} GeV, gauge coupling unification can always be realized and the corresponding GUT scale M_U is from 10^{16} GeV to 5.3 x 10^{13} GeV, respectively. Also, we obtain the Higgs boson mass from 114.4 GeV to 147 GeV. Moreover, the discrepancies among the SM gauge couplings at the GUT scale are less than about 4-6%. Furthermore, we present the SU(5) and SO(10) models from the F-theory model building and orbifold constructions, and show that we do not have the dimension-five and dimension-six proton decay problems even if M_U \le 5 x 10^{15} GeV.

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