Unitarity bounds in the Higgs model including triplet fields with custodial symmetry
Unitarity bounds in the Higgs model including triplet fields with custodial symmetry
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DOI：
10.1103/physrevd.77.095009
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发表时间：
2007-12
影响因子：
5
通讯作者：
M. Aoki;S. Kanemura
中科院分区：
文献类型：
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作者：
M. Aoki;S. Kanemura
我们在乔治 - 马恰切克（Georgi - Machacek）模型中从微扰幺正性研究希格斯玻色子质量的界限。该模型的希格斯部分由一个标量同位旋二重态以及一个实的和一个复的同位旋三重态场组成。由于在希格斯势中施加了全局$SU(2)_{R}$对称性，此模型无需精细调节就能与电弱精确数据相容，通过该对称性，电弱ρ参数在树图水平为1。考虑所有可能的两体弹性散射通道以计算S波振幅矩阵，然后将微扰幺正性条件施加于本征值，从而获得对希格斯参数的约束。结果表明所有标量玻色子的质量都有上限，其中一些与标准模型（712 GeV）相比受到更严格的上限约束。特别是，无论最轻的标量玻色子是什么，其上限约为270 GeV。
We study bounds on Higgs-boson masses from perturbative unitarity in the Georgi-Machacek model, whose Higgs sector is composed of a scalar isospin doublet and a real and a complex isospin triplet field. This model can be compatible with the electroweak precision data without fine-tuning because of the imposed global $SU(2{)}_{R}$ symmetry in the Higgs potential, by which the electroweak rho parameter is unity at the tree level. All possible two-body elastic-scattering channels are taken into account to evaluate the $S$-wave amplitude matrix, and then the condition of perturbative unitarity is imposed on the eigenvalues to obtain constraint on the Higgs parameters. Masses of all scalar bosons turn out to be bounded from above, some of which receive more strict upper bounds as compared to that in the standard model (712 GeV). In particular, the upper bound of the lightest scalar boson, whatever it would be, is about 270 GeV.