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arXiv 0709.2220hep-ph
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轻重Majorana中微子带电流相互作用的相关性

Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos

Zhi-zhong Xing

摘要:

中微子振荡的证据表明,三种中微子味(ν_e,ν_μ,ν_τ)必须具有不同的质量态(ν_1,ν_2,ν_3)。最流行的产生微小质量ν i的方法是在标准模型中引入三个重Majorana中微子N i(i = 1,2,3),实现跷跷板机制。在这种方法中,ν_i的带电相互作用中出现的中微子混合矩阵V不是幺正的,V的幺正破坏强度与描述N_i的带电相互作用强度的矩阵R有关。我们给出了V和R之间的关联的一个明确的参数化表示,它表示为9个旋转角和9个相位角,可以在精密的中微子振荡实验中测量或约束,也可以通过探索LHC和ILC上N_i的可能特征来测量或约束。两个特殊的,但可行的情况下,I型跷跷板模型与两个重Majorana中微子和II型跷跷板模型与一个重Majorana中微子和一个Higgs三重态,考虑到说明简化的V-R关联。讨论了R \neq 0对低能中微子唯象的意义。特别地,我们证明了V的非么正性可能引起短基线或中基线的v_μ-> v_τ和\bar v_μ-> \bar v_τ振荡之间的CP破坏不对称性.

英文摘要:

The evidence for neutrino oscillations implies that three neutrino flavors (ν_e, ν_μ, ν_τ) must have different mass states (ν_1, ν_2, ν_3). The most popular idea of generating tiny masses of ν_i is to introduce three heavy Majorana neutrinos N_i (for i = 1, 2, 3) into the standard model and implement the seesaw mechanism. In this approach the neutrino mixing matrix V appearing in the charged current interactions of ν_i is not unitary, and the strength of unitarity violation of V is associated with the matrix R which describes the strength of charged current interactions of N_i. We present an explicit parametrization of the correlation between V and R in terms of nine rotation angles and nine phase angles, which can be measured or constrained in the precision neutrino oscillation experiments and by exploring possible signatures of N_i at the LHC and ILC. Two special but viable scenarios, the Type-I seesaw model with two heavy Majorana neutrinos and the Type-II seesaw model with one heavy Majorana neutrino and one Higgs triplet, are taken into account to illustrate the simplified V-R correlation. The implications of R \neq 0 on the low-energy neutrino phenomenology are also discussed. In particular, we demonstrate that the non-unitarity of V is possible to give rise to an appreciable CP-violating asymmetry between ν_μ-> ν_τand \barν_μ-> \barν_τoscillations with short or medium baselines.

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