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arXiv 1503.07964hep-phhep-ex
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高尺度混合统一假设的预测

Predictions From High Scale Mixing Unification Hypothesis

Rahul Srivastava

摘要:

本文从“高尺度混合统一”假设出发,研究了Dirac型和Majorana型中微子的混合参数和质量的重整化群演化。根据这一假设,PMNS混合参数被认为是相同的CKM的统一的高尺度。然后,他们被发展到一个低尺度使用MSSM重整化群方程。对于这两种类型的中微子,重整化群演化“自然地”导致轻子混合角$θ_{13}$的非零和小的值。该分析的重要预测之一是,在这两种情况下,混合角$θ_{23}$对于大多数参数范围来说都是非最大的。我们还阐述了狄拉克和马约拉纳中微子在我们的框架内,以及如何实验区分这两种情况之间的重要差异。此外,对于这两种情况下,我们还推导出的超对称性打破和统一尺度,这一假设的工作允许的参数范围的限制。这些结果可以通过现在和将来的实验来检验。

英文摘要:

Starting with 'High Scale Mixing Unification' hypothesis, we investigate the renormalization group evolution of mixing parameters and masses for both Dirac and Majorana type neutrinos. Following this hypothesis, the PMNS mixing parameters are taken to be identical to the CKM ones at a unifying high scale. Then, they are evolved to a low scale using MSSM renormalization-group equations. For both type of neutrinos, the renormalization group evolution 'naturally' results in a non-zero and small value of leptonic mixing angle $θ_{13}$. One of the important predictions of this analysis is that, in both cases, the mixing angle $θ_{23}$ turns out to be non-maximal for most of the parameter range. We also elaborate on the important differences between Dirac and Majorana neutrinos within our framework and how to experimentally distinguish between the two scenarios. Furthermore, for both cases, we also derive constraints on the allowed parameter range for the SUSY breaking and unification scales, for which this hypothesis works. The results can be tested by present and future experiments.

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。

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