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arXiv 0903.3640hep-ph
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族规范对称性是小出质量公式和带电轻子谱的起源

Family Gauge Symmetry as an Origin of Koide's Mass Formula and Charged Lepton Spectrum

Y. Sumino

摘要:

最近,我们在U(3)\times O(3)族规范对称性的基础上,提出了解释带电轻子谱和Koide质量公式起源的机制。在这篇文章中,我们回顾了这些机制的基本思想。在没有技术细节的情况下,加上一些猜测,我们给出了机制的草图,重点是什么,涉及什么假设。我们采用一种已知的情况,其中带电轻子谱由取3乘3矩阵值的标量场的真空期望值确定。在这种情况下,我们提出了一种机制,其中U(3)族规范相互作用引起的辐射修正抵消了Koide质量公式的QED辐射修正。我们考虑SU(9)\times U(1)对称性破缺为U(3)\times O(3)对称性。这导致了一个潜在的模型,预测小出的质量公式和带电轻子光谱与实验值一致,在很大程度上避免微调的参数。这些都在一个有效的理论进行了讨论,我们认为它的有效性和实用性。

英文摘要:

Recently we have proposed mechanisms to explain origins of the charged lepton spectrum as well as Koide's mass formula, on the basis of U(3)\times O(3) family gauge symmetry. In this note, we review the basic ideas of these mechanisms. Without technical details, and adding some speculations, we give a sketch of the mechanisms, what the important points are and what assumptions are involved. We adopt a known scenario, in which the charged lepton spectrum is determined by the vacuum expectation value of a scalar field that takes values on 3-by-3 matrix. Within this scenario, we propose a mechanism, in which the radiative correction induced by U(3) family gauge interaction cancels the QED radiative correction to Koide's mass formula. We consider SU(9)\times U(1) symmetry broken down to U(3)\times O(3) symmetry. This leads to a potential model which predicts Koide's mass formula and the charged lepton spectrum consistent with the experimental values, by largely avoiding fine tuning of parameters. These are discussed within an effective theory, and we argue for its validity and usefulness.

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