Renormalization-group equations of neutrino masses and flavor mixing parameters in matter
Renormalization-group equations of neutrino masses and flavor mixing parameters in matter
复制标题
物质中中微子质量和风味混合参数的重正化群方程
DOI：
10.1007/jhep05(2018)015
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Zhou Ye-Ling
中科院分区：
文献类型：
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作者：
Xing Zhi-zhong;Zhou Shun;Zhou Ye-Ling
We borrow the general idea of renormalization-group equations (RGEs) to understand how neutrino masses and flavor mixing parameters evolve when neutrinos propagate in a medium, highlighting a meaningful possibility that the genuine flavor quantities in vacuum can be extrapolated from their matter-corrected counterparts to be measured in some realistic neutrino oscillation experiments. Taking the matter parameterto be an arbitrary scale-like variable with N e being the net electron number density and E being the neutrino beam energy, we derive a complete set of differential equations for the effective neutrino mixing matrix V and the effective neutrino masses(for i= 1, 2, 3). Given the standard parametrization of V, the RGEs forin matter are formulated for the first time. We demonstrate some useful differential invariants which retain the same form from vacuum to matter, including the well-known Naumov and Toshev relations. The RGEs of the partial μ-τ asymmetries, the off-diagonal asymmetries and the sides of unitarity triangles of V are also obtained as a by-product.
