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arXiv 1003.2625hep-ph
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稳定双三重态分裂对SO(10)质子寿命的约束

Constraining Proton Lifetime in SO(10) with Stabilized Doublet-Triplet Splitting

K. S. Babu, Jogesh C. Pati, Zurab Tavartkiladze

摘要:

我们提出了一类基于超对称SO(10)的现实的统一模型,其中与自然双三重态(DT)分裂有关的问题得到了充分解决。使用一个最小的低维希格斯场,其中包括一个单一的伴随,我们表明,Dimopoulos-Wilzcek机制DT分裂可以稳定的存在下,所有高阶运营商没有伪戈德斯通玻色子和平坦的方向。发现TeV量级的μ项是自然诱导的。Z_2辅助的反常U(1)_A规范对称性在获得这些结果中起着至关重要的作用。对α_3(M_Z)的阈值修正,有些令人惊讶的是,被发现仅由几个有效的参数控制。这导致了质子衰变的一个非常可预测的场景。作为一个新的特征,我们发现了d=6(p \to e^+π^0)和d=5(p \to ν-bar K+)衰变振幅之间的一个有趣的相关性,这使我们能够推导出e^+π^0模的反转率的限制上限。我们的研究结果表明,这两种模式应观察到电流灵敏度的改善约五至十倍。

英文摘要:

We present a class of realistic unified models based on supersymmetric SO(10) wherein issues related to natural doublet-triplet (DT) splitting are fully resolved. Using a minimal set of low dimensional Higgs fields which includes a single adjoint, we show that the Dimopoulos--Wilzcek mechanism for DT splitting can be made stable in the presence of all higher order operators without having pseudo-Goldstone bosons and flat directions. The μterm of order TeV is found to be naturally induced. A Z_2-assisted anomalous U(1)_A gauge symmetry plays a crucial role in achieving these results. The threshold corrections to alpha_3(M_Z), somewhat surprisingly, are found to be controlled by only a few effective parameters. This leads to a very predictive scenario for proton decay. As a novel feature, we find an interesting correlation between the d=6 (p\to e^+π^0) and d=5 (p\to ν-bar K+) decay amplitudes which allows us to derive a constrained upper limit on the inverse rate of the e^+π^0 mode. Our results show that both modes should be observed with an improvement in the current sensitivity by about a factor of five to ten.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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