arXiv 1306.44682013-06hep-ph

适用于SO（10）Grand Unified型号

Fits to SO(10) Grand Unified Models

Alexander Dueck, Werner Rodejohann

备注：: 40 pages, 2 figures. Published version
发表信息：: JHEP 1309, 024 (2013)
DOI：: 10.1007/JHEP09(2013)024

摘要：

我们使用10维、120维和126维希格斯表象的各种组合，对基于SO（10）的大统一模型进行数值拟合。超对称和非超对称的版本，以及两种可能的中微子质量排序。与大多数以前的作品相比，我们在弱尺度下进行拟合，即我们使用从GUT尺度的RG演化，在该尺度下，各种汤川耦合矩阵之间的GUT关系保持到弱尺度。另外，跷跷板机制的右手中微子在RG运行中被一个一个积分出来。其他新的功能是列入最近的结果反应堆中微子混合角和希格斯质量（在非超对称性的情况下）。正如从真空稳定性考虑所预期的那样，低希格斯质量和大的顶夸克汤川耦合对拟合造成了一定的压力。较低的顶夸克质量，有时被认为是从实验结果中提取的更一致的结果，可以减轻这种压力并改善拟合。我们给出了中微子质量的预测，包括无中微子双β衰变的有效质量，以及大气中微子混合角和中微子振荡的轻子CP相位。

英文摘要：

We perform numerical fits of Grand Unified Models based on SO(10), using various combinations of 10-, 120- and 126-dimensional Higgs representations. Both the supersymmetric and non-supersymmetric versions are fitted, as well as both possible neutrino mass orderings. In contrast to most previous works, we perform the fits at the weak scale, i.e. we use RG evolution from the GUT scale, at which the GUT-relations between the various Yukawa coupling matrices hold, down to the weak scale. In addition, the right-handed neutrinos of the seesaw mechanism are integrated out one by one in the RG running. Other new features are the inclusion of recent results on the reactor neutrino mixing angle and the Higgs mass (in the non-SUSY case). As expected from vacuum stability considerations, the low Higgs mass and the large top-quark Yukawa coupling cause some pressure on the fits. A lower top-quark mass, as sometimes argued to be the result of a more consistent extraction from experimental results, can relieve this pressure and improve the fits. We give predictions for neutrino masses, including the effective one for neutrinoless double beta decay, as well as the atmospheric neutrino mixing angle and the leptonic CP phase for neutrino oscillations.

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