在SO（10）GUT中嵌入Zprime模型
Embedding Zprime models in SO(10) GUTs
摘要：
我们将一个Z素规范玻色子（与额外U（1）规范群有关）的理论嵌入到基于SO（10）的超对称大统一理论中。考虑了SO（10）通过适当的Higgs场的VEV破缺的两种可能序列。规范耦合统一提供了两个额外的规范耦合常数与费米子相互作用的低能量值的限制。我们的主要目的是详细地研究这两个值的自由度，由于不同尺度的后续SO（10）破缺和未知的阈值质量修正的规范RGE。这些修正主要由希格斯表象产生，并且由于这些表象的大维度而可能很大。为了解释许多自由质量参数，引入了有效的阈值质量修正。给出了单圈水平下两个附加规范耦合常数值的允许范围。对于属于这些允许区域之一的参数空间中的几个点，将规范耦合常数的单圈运行与规范耦合常数的双圈运行和Yukawa耦合常数的单圈运行进行了比较。1-回路的结果已与电弱精密测试和最新LHC数据的实验约束进行了比较。
英文摘要：
We embed a theory with Zprime gauge boson (related to extra U(1) gauge group) into a supersymmetric GUT theory based on SO(10). Two possible sequences of SO(10) breaking via VEVs of appropriate Higgs fields are considered. Gauge coupling unification provides constraints on low energy values of two additional gauge coupling constants related to Zprime interactions with fermions. Our main purpose is to investigate in detail the freedom in these two values due to different scales of subsequent SO(10) breaking and unknown threshold mass corrections in the gauge RGEs. These corrections are mainly generated by Higgs representations and can be large because of the large dimensions of these representations. To account for many free mass parameters, effective threshold mass corrections have been introduced. Analytic results that show the allowed regions of values of two additional gauge coupling constants have been derived at 1-loop level. For a few points in parameter-space that belong to one of these allowed regions 1-loop running of gauge coupling constants has been compared with more precise running, which is 2-loop for gauge coupling constants and 1-loop for Yukawa coupling constants. 1-loop results have been compared with experimental constraints from electroweak precision tests and from the most recent LHC data.
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