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arXiv 2011.07900hep-ph
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在未来强子对撞机上用约化耦合探测统一理论

Probing Unified Theories with Reduced Couplings at Future Hadron Colliders

Sven Heinemeyer, Jan Kalinowski, Wojciech Kotlarski, Myriam Mondragón, Gregory Patellis, Nick Tracas, George Zoupanos

备注：
30 pages, 9 figures; references added, typos corrected, CDM arguments added in sections 3,5,6,7 and 8
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摘要：

在微扰论中寻找各阶参数间的重整化群不变关系是耦合约化概念的基础。在某些$N=1$超对称大统一理论中，耦合的减少是可以实现的，并且它们中的很少一个可以在所有循环处变得甚至有限。我们回顾的基本思想，已经开发的工具，以及由此产生的理论，成功地减少耦合已经实现了。其中包括：（i）最小$N = 1$ $SU(5)$模型的简化版本，（ii）全回路有限$N = 1$ $SU(5)$模型，（iii）双回路有限$N = 1$ $SU(3)^3$模型，以及最后（vi）最小超对称标准模型的简化版本。在本文中，我们提出了一些基准的情况下，每个模型，并调查其在现有的和未来的强子对撞机的可观测性。上述模型的重超对称谱是14 TeV HL-LHC所不能达到的。我们还发现，在LHC寻找重中性MSSM希格斯玻色子玻色子的过程中，已经排除了MSSM的简化版本。反过来，100 TeV的FCC-hh的发现潜力进行了调查，发现这些模型的预测光谱的大部分可以进行测试，但更高的质量区域甚至超出了FCC-hh的范围。

英文摘要：

The search for renormalization group invariant relations among parameters to all orders in perturbation theory constitutes the basis of the reduction of couplings concept. Reduction of couplings can be achieved in certain $N=1$ supersymmetric Grand Unified Theories and few of them can become even finite at all loops. We review the basic idea, the tools that have been developed as well as the resulting theories in which successful reduction of couplings has been achieved so far. These include: (i) a reduced version of the minimal $N = 1$ $SU(5)$ model, (ii) an all-loop finite $N = 1$ $SU(5)$ model, (iii) a two-loop finite $N = 1$ $SU(3)^3$ model and finally (vi) a reduced version of the Minimal Supersymmetric Standard Model. In this paper we present a number of benchmark scenarios for each model and investigate their observability at existing and future hadron colliders. The heavy supersymmetric spectra featured by each of the above models are found to be beyond the reach of the 14 TeV HL-LHC. It is also found that the reduced version of the MSSM is already ruled out by the LHC searches for heavy neutral MSSM Higgs bosons. In turn the discovery potential of the 100 TeV FCC-hh is investigated and found that large parts of the predicted spectrum of these models can be tested, but the higher mass regions are beyond the reach even of the FCC-hh.

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