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arXiv 0810.1507hep-ph
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$μν$ SSM的参数空间和谱分析

Analysis of the parameter space and spectrum of the $μν$SSM

Nicolas Escudero, Daniel E. Lopez-Fogliani, Carlos Munoz, Roberto Ruiz de Austri

摘要:

$μν$ SSM是一个超对称标准模型,它利用超势$λ_{i} \hat ν^c_i \hat H_d \hat H_u$中右手中微子超场和希格斯玻色子之间的R宇称破缺耦合来解决MSSM的$μ$问题。$μ$项是在电弱对称性破缺后,通过微中微子真空期望值$μ=λ_i < \tilde ν^c_i>$自发产生的。此外,耦合$κ_{ijk} \hat ν^c_i\hat ν^c_j\hat ν^c_k$禁止了整体U(1)对称性,避免了Goldstone玻色子的存在,也有助于自发产生的微中子在电弱标度的Majorana质量。根据这一建议,我们详细分析了参数空间的$μν$ SSM。特别是,我们已经研究了可行的区域,避免假极小值和快子,以及满足朗道极点约束。我们还计算了相关的光谱,特别注意最轻的希格斯粒子的质量。左、右手中微子真空期望值的存在导致了质量矩阵的特殊结构。最重要的结果是中性中微子与中微子混合,中性希格斯粒子与超中微子混合。

英文摘要:

The $μν$SSM is a supersymmetric standard model that solves the $μ$ problem of the MSSM using the R-parity breaking couplings between the right-handed neutrino superfields and the Higgses in the superpotential, $λ_{i} \hat ν^c_i \hat H_d \hat H_u$. The $μ$ term is generated spontaneously through sneutrino vacuum expectation values, $μ=λ_i < \tilde ν^c_i>$, once the electroweak symmetry is broken. In addition, the couplings $κ_{ijk} \hat ν^c_i\hat ν^c_j\hat ν^c_k$ forbid a global U(1) symmetry avoiding the existence of a Goldstone boson, and also contribute to spontaneously generate Majorana masses for neutrinos at the electroweak scale. Following this proposal, we have analysed in detail the parameter space of the $μν$SSM. In particular, we have studied viable regions avoiding false minima and tachyons, as well as fulfilling the Landau pole constraint. We have also computed the associated spectrum, paying special attention to the mass of the lightest Higgs. The presence of right and left-handed sneutrino vacuum expectation values leads to a peculiar structure for the mass matrices. The most important consequence is that neutralinos are mixed with neutrinos, and neutral Higgses with sneutrinos.

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