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arXiv 1104.5500hep-ph
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Z'来自SU(6)$\times$ SU(2)_h GUT,Wj_j反常和希格斯玻色子质量束缚

Z' from SU(6)$\times$SU(2)_h GUT, Wjj anomaly and Higgs boson mass bound

Jihn E. Kim, Seodong Shin

摘要:

在超对称SU(6)$\timesSU(2)_h$大统一模型中应用一般的电弱标度$Z'$,得到六度性的$\Z_6$.我们简要地证明了在E $_6$的任何子群中不可能存在重子U(1)$'_B$.任何需要$Z'$与夸克耦合的效应,如报道的CDF的Wjj异常,如果被观察到,都意味着$Z'$与轻子或希格斯双重态的耦合。在E-$_6$的超对称模型中考虑的动力学混合受到规范耦合统一和中微子混合的限制。$Z'$的质量受到电弱$ρ_0$参数的强烈约束。我们得出结论,$Z'$质量远高于10 TeV的青睐,考虑中微子混合和质子衰变约束的超对称模型。在这个意义上,CDF $Wjj$异常不能被拟合到从E $_6$下降的任何电弱模型。此外,如果发现$Z'$在几百GeV,那么任何嵌入E $_6$的大统一群,如SU(6)$\times$ SU(2)、SO(10)、SU(5)$\times$ U(1)、SU(5)、SU(4)$\times$ SU(4)和SU(3)$^3$,都需要精细调谐的规范耦合。我们还讨论了U(1)PDMATHAMV对最轻MSSM希格斯玻色子树级质量的影响.

英文摘要:

A general electroweak scale $Z'$ is applied in a supersymmetric SU(6)$\timesSU(2)_h$ grand unification model, to have a $\Z_6$ for the hexality. We briefly show that there cannot exist any baryonic U(1)$'_B$ in any subgroup of E$_6$. Any effect that requires sizable $Z'$ couplings to quarks like the reported Wjj anomaly of CDF, if observed, implies a substantial $Z'$ coupling to leptons or Higgs doublets. The kinetic mixing considered in a supersymmetric model from E$_6$ is restricted by the gauge coupling unification and neutrino mixing. The mass of $Z'$ is strongly constrained by the electroweak $ρ_0$ parameter. We conclude that $Z'$ mass much above 10 TeV is favored by considering the neutrino mixing and proton decay constraint in supersymmetric models. In this sense, the CDF $Wjj$ anomaly cannot be fitted to any electroweak model descending from E$_6$. Furthermore, if $Z'$ is found at several hundred GeV, any grand unification group embedded in E$_6$ such as SU(6)$\times$SU(2), SO(10), SU(5)$\times$U(1), SU(5), SU(4)$\times$SU(4), and SU(3)$^3$, needs fine-tuned gauge couplings. We also discuss the U(1)$'$ effect on the tree level mass of the lightest MSSM Higgs boson.

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