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arXiv 1302.6546hep-ph
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GGM和126 GeV Higgs粒子的微调

Fine-tuning in GGM and the 126 GeV Higgs particle

Zygmunt Lalak, Marek Lewicki

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摘要：

在本文中，我们重新分析的超对称模型的微调的问题，其功能广义规范调解（GGM）的光的质量轻希格斯粒子的最新测量，并考虑到μ子磁矩$g_μ-2$的值的可用数据。我们考虑GGM模型与3，5和6个输入参数，并减少微调，假设它们之间的简单关系在高尺度。我们能够找到的解决方案，使正确的值轻希格斯质量和更少的微调比模型与标准规范调解（和重力调解），但从来没有发现微调措施低于约$10^2$，如果忽略的数据$g_μ-2$和约四倍以上，如果考虑到由$g_μ-2$给出的约束。通常，当前的$g_μ-2$数据将模型推向高微调区域。值得注意的是，一旦去除$μ$和$B_μ$引起的微调的贡献，那么在忽略$g_μ-2$约束的情况下，可以很容易地找到具有1阶或更低阶微调的实际真空，而当强制执行$g_μ-2$约束时，微调总是保持很大。应该注意的是，在最后一种情况下，即使是轻希格斯质量向更小值的微小偏移，也会减少微调，并有助于提高模型与$g_μ-2$数据的一致性。

英文摘要：

In this paper we reanalyze the issue of fine-tuning in supersymmetric models which feature Generalized Gauge Mediation (GGM) in the light of recent measurement of the mass of the light Higgs particle and taking into account available data on the value of the muon magnetic moment $g_μ-2$. We consider GGM models with 3, 5 and 6 input parameters and reduce the fine-tuning by assuming simple relations between them at the high scale. We are able to find solutions which give the correct value of the light Higgs mass and are less fine-tuned than models with standard gauge mediation (and with gravity mediation), however one never finds fine-tung measure lower than about $10^2$ if one neglects the data on $g_μ-2$ and and about four times more if one takes the constraint given by $g_μ-2$ into account. In general the current $g_μ-2$ data push the models towards the high fine-tuning region. It is interesting to note, that once one removes the contributions to the finetuning induced by $μ$ and $B_μ$, then in the case with neglected $g_μ-2$ constraint one can easily find realistic vacua with fine-tuning of order 1 or lower, while the fine-tung remains always large when the $g_μ-2$ constraint is enforced. One should note, that in the last case even a small shift of the light Higgs mass towards smaller values both reduces fine-tuning and helps to improve agreement of a model with $g_μ-2$ data.

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