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首页> 外文期刊>Journal of High Energy Physics >Mass-splitting between haves and have-nots — symmetry vs. Grand Unified Theory
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Mass-splitting between haves and have-nots — symmetry vs. Grand Unified Theory

机译：富人与富人之间的分裂-对称与大统一理论

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We revisit the long-standing problem of supersymmetric grand unified theory (GUT), the doublet-triplet splitting problem. We discuss whether symmetry which controls the μ term in the minimal supersymmetric standard model is compatible with GUT. We find that the symmetry must be broken at the GUT scale. A similar argument also shows that the R symmetry, which is important for low energy supersymmetry, must be broken down to a Z 2R symmetry at the GUT scale. We propose a new prescription to achieve the doublet-triplet splitting by symmetry. There, the symmetry which controls the μ term is spontaneously broken at the GUT scale by order parameters which are charged under other symmetries. Bilinear terms of triplet Higgses are charged under the other symmetries, while those of doublet Higgses are not. Then triplet Higgses directly couple to the order parameters and hence obtain GUT scale masses, while doublet Higgses obtain suppressed masses. The broken R symmetry can be also effectively preserved by a similar prescription. As a demonstration, we construct an SU(5) × SU(5) GUT model. We also comment on unification of yukawa couplings
机译：我们回顾了超对称大统一理论（GUT）长期存在的问题，即双峰-三重态分裂问题。我们讨论在最小超对称标准模型中控制μ项的对称性是否与GUT兼容。我们发现必须在GUT尺度上打破对称性。类似的论点也表明，对于低能超对称性很重要的R对称性必须分解为GUT尺度的Z 2R对称性。我们提出了一种新的处方，以实现对称性的三重态-三重态分裂。在这里，控制μ项的对称性在GUT尺度上被其他对称性带电的阶次参数自然破坏。三重态希格斯的双线性项在其他对称性下带电，而二重态希格斯的双线性项不带电。然后，三重态希格斯直接耦合到阶次参数，从而获得GUT比例质量，而三重态希格斯获得抑制的质量。破裂的R对称性也可以通过类似的处方有效地保留。作为演示，我们构建了SU（5）×SU（5）GUT模型。我们也评论汤川联轴器的统一

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