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High Energy Physics - Phenomenology

arXiv:hep-ph/0302263v2 (hep-ph)
[Submitted on 27 Feb 2003 (v1) , last revised 2 Apr 2003 (this version, v2)]

Title: Unitarity of the Higher Dimensional Standard Model

Title: 高维标准模型的幺正性

Authors:R. Sekhar Chivukula, Duane A. Dicus, Hong-Jian He, Satyanarayan Nandi
Abstract: We study the unitarity of the standard model (SM) in higher dimensions. We show that the essential features of SM unitarity remain after compactification, and place bounds on the highest Kaluza-Klein (KK) level N_KK and the Higgs mass m_H in the effective four-dimensional (4d) low-energy theory. We demonstrate these general observations by explicitly analyzing the effective 4d KK theory of a compactified 5d SM on S^1/Z_2. The nontrivial energy cancellations in the scattering of longitudinal KK gluons or KK weak bosons, a consequence of the geometric Higgs mechanism, are verified. In the case of the electroweak gauge bosons, the longitudinal KK states also include a small mixture from the KK Higgs excitations. With the analyses before and after compactification, we derive the strongest bounds on N_KK from gauge KK scattering. Applying these bounds to higher-dimensional SUSY GUTs implies that only a small number of KK states can be used to accelerate gauge coupling unification. As a consequence, we show that the GUT scale in the 5d minimal SUSY GUT cannot be lower than about 10^{14} GeV.
Abstract: 我们研究了标准模型(SM)在高维空间中的幺正性。我们表明,在紧致化之后,SM 的幺正性的本质特征仍然保留下来,并对有效四维(4d)低能理论中的最高 Kaluza-Klein(KK)能级 \$N_\{KK\}\$ 和 Higgs 质量 \$m_H\$ 进行了限制。通过显式分析在 \$S^1/Z_2\$ 上紧致化的 5d SM 的有效 4d KK 理论,我们验证了这些一般性观察结果。纵向 KK 胶子或 KK 规范玻色子散射中的非平凡能量抵消现象,这是几何 Higgs 机制的结果,得到了验证。对于电弱规范玻色子的情况,纵向 KK 态还包括来自 KK Higgs 振动的少量混合成分。通过对紧致化前后的分析,我们从规范 KK 散射中得出了关于 \$N_\{KK\}\$ 的最强约束条件。将这些约束条件应用于更高维的 SUSY GUTs 表明,只有少数几个 KK 态可以用来加速规范耦合统一。因此,我们得出结论,在 5d 最小 SUSY GUT 中的 GUT 能标不能低于约 \$10^\{{14}\}\$ GeV。
Comments: Version in Phys. Lett. B (minor typos fixed, refs added)
Subjects: High Energy Physics - Phenomenology (hep-ph) ; High Energy Physics - Experiment (hep-ex); High Energy Physics - Theory (hep-th)
Cite as: arXiv:hep-ph/0302263
  (or arXiv:hep-ph/0302263v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0302263
arXiv-issued DOI via DataCite
Journal reference: BUHEP-03-06, UTHEP-03-07, OSUHEP-03-2
Related DOI: https://doi.org/10.1016/S0370-2693%2803%2900553-7
DOI(s) linking to related resources

Submission history

From: Hong-Jian He [view email]
[v1] Thu, 27 Feb 2003 20:12:31 UTC (22 KB)
[v2] Wed, 2 Apr 2003 06:47:41 UTC (23 KB)
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