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arXiv 1001.0428hep-ph
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有限统一:理论与预言

Finite Unification: Theory and Predictions

Sven Heinemeyer, Myriam Mondragon, George Zoupanos

摘要:

全圈有限统一理论(FUTs)是非常有趣的N=1超对称大统一理论(GUTs),它不仅实现了一个古老的场论梦想,而且由于所需的耦合减少而具有显着的预测能力。通过寻找N=1个大统一理论之间的重整化群不变关系,实现了无量纲耦合的约化.无量纲耦合之间存在RGI关系,保证了在某些N=1的GUT中所有β函数甚至到所有阶都消失,这一事实导致了精确性。此外,在N=1 GUT和FUT的软超对称破缺扇区中的发展也导致了在理论的这个维度扇区中的精确RGI关系,即耦合的减少。基于上述理论框架,构造了唯象一致的FUTS。在这里,我们提出了基于SU(5)和SU(3)^3规范群的FUT模型及其预言。特别令人感兴趣的是希格斯质量预测的一个模型,预计将在大型强子对撞机进行测试。

英文摘要:

All-loop Finite Unified Theories (FUTs) are very interesting N=1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N=1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exist RGI relations among dimensionless couplings that guarantee the vanishing of all beta-functions in certain N=1 GUTs even to all orders. Furthermore developments in the soft supersymmetry breaking sector of N=1 GUTs and FUTs lead to exact RGI relations, i.e. reduction of couplings, in this dimensionful sector of the theory too. Based on the above theoretical framework phenomenologically consistent FUTS have been constructed. Here we present FUT models based on the SU(5) and SU(3)^3 gauge groups and their predictions. Of particular interest is the Higgs mass prediction of one of the models which is expected to be tested at the LHC.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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