arXiv 1701.044132017-01-16hep-ph

中微子、味和CP破坏的统一模型

Unified Models of Neutrinos, Flavour and CP Violation

S. F. King

备注：: 67 pages, 29 figures, review article to appear in Progr.Part.Nucl.Phys
DOI：: 10.1016/j.ppnp.2017.01.003

摘要：

最近的中微子实验数据给出了有趣的暗示，质量排序，CP违反阶段和非最大大气混合。似乎有一个（一西格玛）的偏好正常有序（NO）中微子质量模式，与CP阶段$δ= -100^{\circ}\pm 50 ^\circ$，（更重要的是）非最大的大气混合。NO情况下的整体拟合产生轻子混合角1 σ范围：$θ_{23}\approx 41.4^\circ \pm 1.6^\circ$，$θ_{12}\approx 33.2^\circ \pm 1.2^\circ$，$θ_{13}\approx 8.45^\circ \pm 0.15^\circ$。宇宙学给出了三个质量总和的限制，大约在$0.23$ eV以下，这有利于中微子质量的分级，而不是准简并质量。鉴于这些实验进展，现在似乎是一个适当的时机来回顾试图解释中微子质量和轻子混合模式的理论状态，重点是基于以下四个支柱的方法：{ \em预测性}，{ \em最小性}，{ \em鲁棒性}和{ \em统一性}。{ \em Predictivity}可由其状态已被查看的各种混合和规则生成。{ \em最小值}可以从I型跷跷板机制中得到，包括右手中微子的受约束的顺序优势和最小跷跷板模型。{ \em鲁棒性}要求强制执行离散CP和非阿贝尔族对称性，通过以半直接方式保持对称性的黄酮自发破缺。{ \em统一}可以解释所有轻子和夸克的质量、混合角和CP相位，就像超对称大统一味理论一样，可能起源于弦论。

英文摘要：

Recent data from neutrino experiments gives intriguing hints about the mass ordering, the CP violating phase and non-maximal atmospheric mixing. There seems to be a (one sigma) preference for a normal ordered (NO) neutrino mass pattern, with a CP phase $δ= -100^{\circ}\pm 50 ^\circ$, and (more significantly) non-maximal atmospheric mixing. Global fits for the NO case yield lepton mixing angle one sigma ranges: $θ_{23}\approx 41.4^\circ \pm 1.6^\circ$, $θ_{12}\approx 33.2^\circ \pm 1.2^\circ$, $θ_{13}\approx 8.45^\circ \pm 0.15^\circ$. Cosmology gives a limit on the total of the three masses to be below about $0.23$ eV, favouring hierarchical neutrino masses over quasi-degenerate masses. Given such experimental advances, it seems an opportune moment to review the theoretical status of attempts to explain such a pattern of neutrino masses and lepton mixing, focussing on approaches based on the four pillars of: {\em predictivity}, {\em minimality}, {\em robustness} and {\em unification}. {\em Predictivity} can result from various mixing sum rules whose status is reviewed. {\em Minimality} can follow from the type I seesaw mechanism, including constrained sequential dominance of right-handed (RH) neutrinos, and the littlest seesaw model. {\em Robustness} requires enforcing a discrete CP and non-Abelian family symmetry, spontaneously broken by flavons with the symmetry preserved in a semi-direct way. {\em Unification} can account for all lepton and quark masses, mixing angles and CP phases, as in Supersymmetric Grand Unified Theories of Flavour, with possible string theory origin.

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