arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1306.6713hep-ph
收藏

单重标量场标准模型中的么正性约束

Unitarity Constraints in the standard model with a singlet scalar field

Sin Kyu Kang, Jubin Park

摘要:

受一种新标量场的发现和嵌入标准模型中的单重标量场对电弱真空稳定性的改善的启发,我们研究了含单重标量场的标准模型中微扰么正性的含义.考虑到对散射振幅的全部贡献,我们导出了散射矩阵的么正性条件,该条件可以转化为标量场质量的界。在单重态标量场产生真空期望值的情况下,得到了单重态标量场质量随单重态标量场与Higgs标量场混合而变化的上界。另一方面,希格斯标量的质量可以由幺正性条件约束的情况下,单态标量的VEV没有产生。将Higgs质量的上界应用到幺正化Higgs暴胀的情形中,讨论了幺正性条件如何约束Higgs暴胀。由于单重态标量质量不与希格斯标量混合,所以当我们在模型中加入Z_2时,单重态标量质量不受幺正性本身的约束。但是,考虑到单重态标量场是冷暗物质的候选者,我们结合观测到的残余丰度和么正性条件,推导出了单重态标量场的质量上限。

英文摘要:

Motivated by the discovery of a new scalar field and amelioration of the electroweak vacuum stability ascribed to a singlet scalar field embedded in the standard model (SM), we examine the implication of the perturbative unitarity in the SM with a singlet scalar field. Taking into account the full contributions to the scattering amplitudes, we derive unitarity conditions on the scattering matrix which can be translated into bounds on the masses of the scalar fields. In the case that the singlet scalar field develops vacuum expectation value (VEV), we get the upper bound on the singlet scalar mass varying with the mixing between the singlet and Higgs scalars. On the other hand, the mass of the Higgs scalar can be constrained by the unitarity condition in the case that the VEV of the singlet scalar is not generated. Applying the upper bound on the Higgs mass to the scenario of the unitarized Higgs inflation, we discuss how the unitarity condition can constrain the Higgs inflation. The singlet scalar mass is not constrained by the unitarity itself when we impose Z_2 in the model because of no mixing with the Higgs scalar. But, regarding the singlet scalar field as a cold dark matter candidate, we derive upper bound on the singlet scalar mass by combining the observed relic abundance with the unitarity condition.

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。

↑