arXiv 1301.60852013-01-25hep-ph

具有滑动尺度的超对称SO（10）GUT

Supersymmetric SO(10) GUTs with sliding scales

C. Arbelaez, R. M. Fonseca, M. Hirsch, J. C. Romao

DOI：: 10.1103/PhysRevD.87.075010

摘要：

我们构造了在中间步骤具有扩展规范群的超对称模型列表，所有这些模型都是基于SO（10）统一的。我们考虑三种不同的设置：（i）模型有一个额外的中间标度和一个左右（LR）对称群;（ii）SO（10）通过一个中间Pati-Salam（PS）标度分解为LR群;（iii）LR群在分解为SM群之前分解为$SU(3)_{c} \times SU(2)_{L} \times U(1)_{R} \times U(1)_{B-L}$。我们使用一套条件，我们称之为“滑动机制”，它产生统一的扩展规范群（S）允许在任意的中间能量标度。因此，原则上，所有模型都可以在LHC的范围内获得新的规范玻色子。我们应用额外的条件，如微扰统一，重正化和异常取消，并发现，尽管有这些要求，对于只有一个额外的规模仍然存在约50个不同的变体的anadenoid（i），可以有一个LR对称性低于10 TeV。对于更复杂的计划（ii）和（iii）字面上数以千计的可能的变体存在，并为计划（ii），我们也发现了非常低的PS规模的变体。我们还讨论了可能的实验测试的模型从测量超对称质量。假设mSugra边界条件，我们计算某些组合的软条款，称为“不变量”，为不同类别的模型。所有不变量的值都可以被归类到少数集合中，这些集合包含了关于模型类别的信息，原则上，也包含了超MSSM物理的尺度，即使扩展规范群在LHC无法达到的能量下被破坏。

英文摘要：

We construct lists of supersymmetric models with extended gauge groups at intermediate steps, all of which are based on SO(10) unification. We consider three different kinds of setups: (i) The model has exactly one additional intermediate scale with a left-right (LR) symmetric group; (ii) SO(10) is broken to the LR group via an intermediate Pati-Salam (PS) scale; and (iii) the LR group is broken into $SU(3)_{c} \times SU(2)_{L} \times U(1)_{R} \times U(1)_{B-L}$, before breaking to the SM group. We use sets of conditions, which we call the "sliding mechanism", which yield unification with the extended gauge group(s) allowed at arbitrary intermediate energy scales. All models thus can have new gauge bosons within the reach of the LHC, in principle. We apply additional conditions, such as perturbative unification, renormalizability and anomaly cancellation and find that, despite these requirements, for the ansatz (i) with only one additional scale still around 50 different variants exist that can have an LR symmetry below 10 TeV. For the more complicated schemes (ii) and (iii) literally thousands of possible variants exist, and for scheme (ii) we have also found variants with very low PS scales. We also discuss possible experimental tests of the models from measurements of SUSY masses. Assuming mSugra boundary conditions we calculate certain combinations of soft terms, called "invariants", for the different classes of models. Values for all the invariants can be classified into a small number of sets, which contain information about the class of models and, in principle, the scale of beyond-MSSM physics, even in case the extended gauge group is broken at an energy beyond the reach of the LHC.

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