On the quasi-fixed point in the running of CP-violating phases of Majorana neutrinos

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• 作者：Shu Luo and Zhi-Zhong Xing
• 刊名：Physics Letters B
• 出版年：2006
• 出版时间：15 June 2006
• 年：2006
• 卷：637
• 期：4-5
• 页码：279-286
• 全文大小：134 K

文摘

Taking the standard parametrization of three-flavor neutrino mixing, we carefully examine the evolution of three CP-violating phases (δ,α₁,α₂) with energy scales in the realistic limit 6534020cece2"" title=""Click to view the MathML source"">θ₁₃→0. If m₃ vanishes, we find that the one-loop renormalization-group equation (RGE) of δ does not diverge and its running has no quasi-fixed point. When m₃≠0 holds, we show that the continuity condition derived by Antusch et al. is always valid, no matter whether the τ-dominance approximation is taken or not. The RGE running of δ undergoes a quasi-fixed point determined by a nontrivial input of α₂ in the limit m₁→0. If three neutrino masses are nearly degenerate, it is also possible to arrive at a quasi-fixed point in the RGE evolution of δ from the electroweak scale to the seesaw scale or vice versa. Furthermore, the continuity condition and the quasi-fixed point of CP-violating phases in another useful parametrization are briefly discussed.