关于大统一模型中5维算子及其影响的一个注记
A note on dimension-5 operators in GUTs and their impact
摘要:
在大统一理论中,量子引力或弦紧化可以导致有效的五维算符,它们可以修正规范动力学项。我们详尽地讨论了流行的SU(5),SO(10),和E(6)模型的这种运营商的群论性质。特别是,对于SU(5),只有200表象中的希格斯粒子才有助于使耦合在普朗克尺度下统一,并与质子衰变极限保持一致,而对于超对称版本,24、75或200表象都是可以接受的。结果也有一个直接的应用在非普适性的gaugino质量在一类超对称模型,其中获得相同的群论特征。
英文摘要:
Quantum gravity or string compactification can lead to effective dimension-5 operators in Grand Unified Theories which modify the gauge kinetic terms. We exhaustively discuss the group-theoretic nature of such operators for the popular SU(5), SO(10), and E(6) models. In particular, for SU(5) only a Higgs in the 200 representation can help bring the couplings to unification below the Planck scale and in consistency with proton decay limits while for a supersymmetric version 24, 75, or 200 representations are all acceptable. The results also have a direct application in non-universality of gaugino masses in a class of supersymmetric models where identical group-theoretic features obtain.
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