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arXiv 0905.2346hep-phhep-th
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低规模SU(4)_W Unification

Low-Scale SU(4)_W Unification

Csaba Balazs, Tianjun Li, Fei Wang, Jin Min Yang

摘要:

我们将最小左右模型SU(2)_L*SU(2)_R* U(1)_{B-L}嵌入到SU(4)_W规范群中,并通过五维S^1/(Z_2*Z_2)轨道折叠破开统一群.轻子被拟合到SU(4)W多重态中,并位于对称性保持的O膜上,而夸克则位于对称性破缺的O'膜上。这种方法预测树水平上弱混合角的\sin^2 θ W=0.25,并导致相当低的弱(强)耦合统一尺度,其量级为3*10^2 TeV(几个TeV),具有超对称性,或在非超对称情况下低至几个TeV。另一个具有低能规范群SU(2)_L*U(1)_{3R}*U(1)_{B-L}的对称性破缺链在规范对称性破缺后也能在树水平上产生弱混合角\sin^2 θ_W=0.25。这种具有低尺度统一的理论具有有趣的现象学后果。

英文摘要:

We embed the minimal left-right model SU(2)_L*SU(2)_R* U(1)_{B-L} into an SU(4)_W gauge group, and break the unified group via five-dimensional S^1/(Z_2*Z_2) orbifolding. Leptons are fitted into SU(4)_W multiplets and located on a symmetry preserving O brane, while quarks are placed onto an O' brane where the symmetry is broken. This approach predicts \sin^2θ_W=0.25 for the weak mixing angle at tree level and leads to a rather low weakly (strongly) coupled unification scale of order 3*10^2 TeV (several TeV) with supersymmetry, or as low as several TeV in the non-supersymmetric case. Another symmetry breaking chain with the low-energy gauge group SU(2)_L*U(1)_{3R}*U(1)_{B-L} can also give rise to a weak mixing angle \sin^2θ_W=0.25 at tree level after gauge symmetry breaking by orbifolding. Such theories with low-scale unification have interesting phenomenological consequences.

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