We consider a class of unified models based on the gauge group SO(10) which with appropriate choice of Higgs representations generate in a natural way a pair of light Higgs doublets needed to accomplish electroweak symmetry breaking. In this class of models higher dimensional operators of the form matter-matter-Higgs-Higgs in the superpotential after spontaneous breaking of the GUT symmetry generate contributions to Yukawa couplings which are comparable to the ones from cubic interactions. Specifically we consider an SO(10) model with a sector consisting of 126 + \( \overline{126} \) + 210 of heavy Higgs which breaks the GUT symmetry down to the standard model gauge group and a sector consisting of 2 × 10 + 120 of light Higgs fields. In this model we compute the corrections from the quartic interactions to the Yukawa couplings for the top and the bottom quarks and for the tau lepton. It is then shown that inclusion of these corrections to the GUT scale Yukawas allows for consistency of the top, bottom and tau masses with experiment for low tan β with a value as low as tan β of 5–10. We compute the sparticle spectrum for a set of benchmarks and find that satisfaction of the relic density is achieved via a compressed spectrum and coannihilation and three sets of coannihilations appear: chargino-neutralino, stop-neutralino and stau-neutralino. We investigate the chargino-neutralino coannihilation in detail for the possibility of observation of the light chargino at the high luminosity LHC (HL-LHC) and at the high energy LHC (HE-LHC) which is a possible future 27 TeV hadron collider. It is shown that all benchmark models but one can be discovered at HL-LHC and all would be discoverable at HE-LHC. The ones discoverable at both machines require a much shorter time scale and a lower integrated luminosity at HE-LHC.

我们认为，基于规范群SO（10），其与希格斯表示的适当选择以自然的方式生成一对来完成弱电对称性破缺所需要的光照希格斯双峰一类统一的模式。在这类模型中，自发破坏GUT对称性后，超势形式的物质-希格斯-希格斯形式的高维算符对汤川耦合产生了贡献，这与三次相互作用中的耦合相当。具体来说，我们考虑一个SO（10）模型，其扇区由126 + \（\ overline {126} \） + 210的重型希格斯组成，它将GUT的对称性分解为标准模型规格组，并且扇区由2 ×10 + 120光希格斯场。在此模型中，我们计算了从上次夸克和下夸克以及tau轻子的四次相互作用到汤川耦合的校正。然后，示出了包含这些更正GUT规模Yukawas允许与实验低黄褐色的顶部，底部和tau群众的一致性β与值低至黄褐色β5-10。我们计算了一组基准的粒子光谱，发现通过压缩光谱和co灭可以实现对遗址密度的满意，并且出现了三组sets灭：chargino-neutralino，stop-neutralino和stau-neutralino。我们详细研究了chargino-neutralino共an没现象，以便在高发光度LHC（HL-LHC）和高能LHC（HE-LHC）观察到轻型chargino的可能性，这是将来可能出现的27 TeV强子对撞机。结果表明，除基准模型外，所有其他基准模型都可以在HL-LHC中找到，而所有基准模型都可以在HE-LHC中发现。在两台机器上都可以发现的光束在HE-LHC上需要更短的时间范围和更低的综合发光度。