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arXiv 1409.7574hep-phhep-th
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Higgs质量、超连接和TeV-scale左右对称模型

The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model

Ufuk Aydemir, Djordje Minic, Chen Sun, Tatsu Takeuchi

摘要:

我们讨论了在超代数su(2/1)的超连接形式下建立标准模型(SM)的物理意义。特别是,我们讨论了希格斯质量的预测,根据形式主义,并指出,它是~170 GeV,在明确的不同意与实验。为了解决这个问题,我们将形式主义扩展到超代数su(2/2),将SM扩展到左右对称模型(LRSM),并容纳~126 GeV的Higgs。SU(2/1)情形中的SM和SU(2/2)情形中的LRSM都被认为是在~4 TeV时从一个基础理论中出现的,在这个基础理论中,时空几何通过增加一个离散的额外维度而被修改。在这个模型空间中的外导数的制定建议修改后的几何,它可以在非交换几何(NCG)的语言描述,和自发破缺的规范对称性之间的深刻联系。这意味着自发对称性破缺实际上可能是几何/量子引力性质的。在希格斯扇区中看到的非退耦现象可以用新的观点重新解释,因为它是低能物理学和与量子引力相关的高能物理学(如弦论)的混合。TeV尺度LRSM的现象也进行了讨论,我们认为,一些令人兴奋的发现可能会等待我们在LHC,和其他不久的将来的实验。

英文摘要:

We discuss the physical implications of formulating the Standard Model (SM) in terms of the superconnection formalism involving the superalgebra su(2/1). In particular, we discuss the prediction of the Higgs mass according to the formalism and point out that it is ~170 GeV, in clear disagreement with experiment. To remedy this problem, we extend the formalism to the superalgebra su(2/2), which extends the SM to the left-right symmetric model (LRSM) and accommodates a ~126 GeV Higgs. Both the SM in the su(2/1) case and the LRSM in the su(2/2) case are argued to emerge at ~4 TeV from an underlying theory in which the spacetime geometry is modified by the addition of a discrete extra dimension. The formulation of the exterior derivative in this model space suggests a deep connection between the modified geometry, which can be described in the language of non-commutative geometry (NCG), and the spontaneous breaking of the gauge symmetries. The implication is that spontaneous symmetry breaking could actually be geometric/quantum gravitational in nature. The non-decoupling phenomenon seen in the Higgs sector can then be reinterpreted in a new light as due to the mixing of low energy (SM) physics and high energy physics associated with quantum gravity, such as string theory. The phenomenology of a TeV scale LRSM is also discussed, and we argue that some exciting discoveries may await us at the LHC, and other near-future experiments.

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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