Models of Neutrino Masses and Mixings: a Progress Report
Guido Altarelli
本文介绍了中微子质量和混合模型建立的一些最新进展。特别是，我们审查来自离散群，特别是A4的三双峰中微子混合。我们讨论了将对称性扩展到夸克扇区和大统一所遇到的问题。
We present some recent developments on model building for neutrino masses and mixings. In particular, we review tri-bimaximal neutrino mixing derived from discrete groups, notably A4. We discuss the problems encountered with extending the symmetry to the quark sector and with Grand Unification.
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Neutrino Masses and Mixing Matrix from SU(1,1) Horizontal Symmetry
提出了一种新的机制来解释中微子质量及其混合通过SU（1，1）水平对称性破缺。基于这一机制，自然地实现了中微子质量的小化，并给出了大混合的反分级谱。
Electromagnetic Contributions to Vector Meson Masses and Mixings
我们用1/N_c方法估计了电磁场对矢量介子质量和混合的贡献。我们确定了几个新的来源的ρ-ω混合来自短距离效应。本文评述了从矢量介子质量中提取夸克质量的方法。我们还提出了一个简单的电磁质量差的群论讨论。
We review recent developments towards models for neutrino masses and mixings.
Status of Neutrino Masses and Mixing and Future Perspectives
讨论了中微子质量、混合和振荡问题的现状。未来的前景进行了简要的考虑。
Neutrino masses and mixings
我们提出了一个新的中微子质量和混合的理论理解，这是由于在短距离的正则化标准模型的内在矢量的功能。我们试图解释狄拉克中微子质量的微小性和右手中微子作为自由粒子的退耦现象。中微子质量和混合角在Schwinger-Dyson方程中的自能函数是完全相关的。这些方程的解决方案和可能的模式的质量和混合进行了讨论。
We consider a flavor model based on A4 modular group to account for both lepton and quark parameters (masses and mixing). The inverse seesaw mechanism is considered to produce the light neutrino masses. Lepton masses and mixing are obtained in terms of Yukawa coupling ratios and values of the modulus τ nearby some fixed points for inverted neutrino mass hierarchy. The quark masses and mixing are arisen at the same τ values used in inverted neutrino mass hierarchy and are in agreements with the recent data.
Neutrino Masses and Mixing
评述了中微子质量和轻子混合的限制条件。太阳、大气和遗迹中微子给出了中微子质量不为零和混合存在的迹象。数据拾取混合角的两个区域，其明显大于或明显小于Cabibbo角。讨论了具有{ \it大}或{ \it小}轻子混合的一些理论方案。
Models of Neutrino Masses and Mixings
我们提出了一个简明的评论模型建设的中微子质量和混合，特别强调最近的发展。
We present a short summary of our present knowledge and understanding of neutrino masses and mixing.
The possible mechanisms of generation of the neutrino of small masses and sterile neutrino are considered. In the supposition of stability of tracks of a left-right symmetry concerning masses of constituent quarks, the angles of mixing of quarks are evaluated. With usage of experimental data on neutrino oscillation parameters the neutrino masses on order of magnitude are computed.
We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of the first two neutrinos is given by the solar mixing angle. The neutrino masses are calculated: $m_1$ $\approx$ 0.004 eV, $m_2$ $\approx$ 0.010 eV, $m_3$ $\approx$ 0.070 eV.
Light Quark Masses and Mixing Angles
本文综述了u，d，s夸克的质量和弱混合元的研究现状。这是1993年理论高级研究所（TASI）讲座的书面版本。
Neutrino masses and mixing
对中微子质量和混合问题的现状作了简要的评述。不同计划的混合（狄拉克或马约拉纳）大量中微子被认为是。本文介绍了真空和物质中中微子振荡的理论。现有的迹象有利于中微子混合进行了简短的讨论。
Recent Models of Neutrino Masses and Mixing
在这次演讲中，我回顾了最近关于中微子质量和混合的一些模型。特别地，我强调了$A_4$对称模型。
Talk on fermion masses and mixings
本文涉及两个主题。第一部分讨论了夸克质量矩阵与规范理论中可观测量之间的关系。第二部分在跷跷板框架下研究中微子的质量和混合。
Neutrino Masses and Mixings: a Theoretical Perspective
本文简要回顾了最近由Superkamiokande实验证实的中微子振荡所引起的中微子质量和混合的研究活动。
Generation of Neutrino Masses and Mixings in Gauge Theories
我回顾模型，目前大味混合的轻子部门的基础上规范理论。
We consider two Ansatze for the neutrino masses and mixings in which the permutation symmetry is implemented in various orders. We discuss the possible see-saw mechanisms and the charged lepton masses for the two cases in the presence of a Higgs triplet and three Higgs doublets.
Progress on Models of Neutrino Masses and Mixings
我们回顾了最近的一些结果，我们的小组的中微子质量和混合模型的一般背景下的超对称大统一理论与相关的味道对称。
Neutrino masses and mixings in a predictive theory of fermion masses
超对称大统一理论中预测带电费米子质量的框架被扩展到中微子领域。提出了八个新的预言，并讨论了它们与中微子振荡实验和太阳中微子问题的关系。
It is shown that phenomenologically favorable expressions of quark mixing angles through the ratios of current quark masses may be derived as stable points of certain 4-th power in CKM matrix flavor-invariant potentials built with traces of 3x3 quark up and down mass matrices.
We obtain analytical formulas which connect the neutrino masses and the leptonic mixing matrix with the entries in the mass matrix for the approximation in which the charged lepton mixing matrix is the unit matrix. We also extract the CP violation phase and determine the conditions in which this is present.
We discuss first the flavor mixing of the quarks, using the texture zero mass matrices. Then we study a similar model for the mass matrices of the leptons. We are able to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mixing angles and can predict the masses of the neutrinos. We find a normal hierarchy - the masses are 0.004 eV, 0.01 eV and 0.05 eV. The atmospheric mixing angle is given by the mass ratios of the charged leptons and the neutrinos. we find about 40 degrees, consistent with the experiments. The mixing element, connecting the first neutrino wit the …
Current Status of Neutrino Masses and Mixings
本文简要回顾了太阳和大气中微子振荡的证据，并指出这些证据可以很好地容纳在三中微子混合和双大混合的框架中。
We discuss the neutrino oscillations, using texture zero mass matrices for the leptons. The reactor mixing angle $θ^{}_{l}$ is calculated. The ratio of the masses of two neutrinos is determined by the solar mixing angle. We can calculate the masses of the three neutrinos: $m_1$ $\approx$ 0.003 eV - $m_2$ $\approx$ 0.012 eV - $m_3$ $\approx$ 0.048 eV.
This paper has been withdrawn by the author. A revised version has been resubmitted to the archive.
Neutrino Masses and Mixing - Theory
在这次演讲中，我回顾了我们所知道的和不知道的关于中微子，中微子质量和轻子混合。我还讨论了中微子具有非零质量这一发现的重要性，并说明了目前对它们背后的物理学知之甚少。
In this talk I present my personal summary of the progress on the determination of the masses of the neutrinos and of the leptonic flavour mixing from the combined analysis of the experimental results.
We present a very concise summary of the status of our knowledge and understanding of neutrino masses and mixing.
Theories of Neutrino Masses and Mixings
本文综述了中微子质量及其对标准模型以外物理学的影响。
Masses and mixing of neutrinos in grand unified SO(10) model
本文提出了一个基于SO（10）和超对称性的大统一模型来解释实验中观测到的中微子的质量和混合。
Neutrino Masses and Mixing: Where We Stand and Where We are Going
在这次演讲中，我回顾了我们目前对中微子质量和混合的认识，以及对不久的将来实验的期望。
The impact of renormalization group equations(RGEs) on neutrino masses and mixings at high energy scales in Minimal Supersymmetric Standard Model(MSSM) is studied using two different mixing patterns such as Tri-Bimaximal(TBM) mixing and Golden Ratio(GR) mixing in consistent with cosmological bound of the sum of three neutrino masses, $\sum _{i}|m_{i}|$. Magnifications of neutrino masses and mixing angles at low energy scale, are obtained by giving proper input masses, and mixing angles from TBM mixing matrix and GR mixing matrix at high energy scales. High energy scales, $M_{R}$ such as $10^{1…
This paper has been withdrawn by the author, due to two identical copies of the paper.
Flavor Symmetries, Neutrino Masses and Neutrino Mixing
我们讨论中微子混合，使用纹理0质量矩阵，这对夸克非常有效。太阳混合角与前两个中微子的质量比直接相关。中微子的质量是分等级的，但质量比夸克小得多。大气混合角为38 $^{\circ}$。轻子的CP破坏应该比夸克小得多。
Are the neutrino masses and mixings closely related to the masses and mixings of quarks?
夸克的质量矩阵如果用小参数σ=（m_c/m_t）^{1/2}的幂来表示，则具有简单的结构。如果夸克和轻子之间有密切的关系，那么对于包含相同参数的轻子矩阵，人们会期望有相似的结构。有一个具体的建议，跷跷板机制一起使用的严格要求，单态中微子携带非零代电荷。这些电荷决定了相应的重中微子质量矩阵中σ的幂。结果表明，中微子混合矩阵是双峰型的。此外，两个最轻的中微子的质量分裂被发现是微小的，并且正好是太阳中微子真空解所必需的正确大小。
ICTP Lectures on Theoretical Aspects of Neutrino Masses and Mixings
最近的中微子振荡实验正在产生关于中微子质量和混合性质的有价值的信息，尽管我们对它们所隐含的新物理学还远没有完全理解。在这些讲座中，我总结了中微子质量物理学的当前理论状况。
We study a class of models for tri-bimaximal neutrino mixing in SO(10) grand unified SUSY framework. Neutrino masses arise from both type-I and type-II seesaw mechanisms. We use dimension five operators in order to not spoil tri-bimaximal mixing by means of type-I contribution in the neutrino sector. We show that it is possible to fit all fermion masses and mixings including also the recent T2K result as deviation from the tri-bimaximal.
A SUSY SO(10) $\times A_4$ GUT model is constructed for fermion masses and mixing by introducing a minimal set of low dimensional Higgs representations needed to break the guage symmetry down to $SU(3)_c \times U(1)_{em}$. The hierarchy of fermion masses can be understood in the framework of $A_4$ symmetry. From the $A_4$-invariant superpotential, the "double lopsided" mass matrices for the charged leptons and the down quarks are obtained. It is shown that this structure leads to bi-large neutrino mixings simultaneously with small CKM mixing angles. An excellent fit to the masses and mixings o…
Status of Neutrino Masses and Mixing
简要回顾了有利于太阳中微子和大气中微子振荡的实验证据，并将其纳入三中微子混合的框架。中微子质量的值的影响进行了讨论，并从氚β衰变和宇宙学数据的中微子质量的绝对规模的界限进行了审查。最后，我们讨论了三中微子混合对无中微子双β衰变的影响。
Phenomenology of Neutrino Masses and Mixings
我们回顾了中微子质量和混合角的理论思想，问题和影响。我们给出了一般性的讨论方案与三轻中微子。一些具体的例子进行了详细分析，特别是那些可以嵌入到大统一理论。
Quantum corrections to neutrino masses and mixing angles
内容：1.导言2.费米子质量和混合3.有效理论中的中微子质量4。从重整化群演化得到的量子修正4.1. CKM矩阵的RG方程4.2.中微子质量和混合角的RG方程4.3.中微子质量的演化4.4.两个中微子的混合4.5三个中微子和不动点的混合5.低能量阈值校正5.1. SM 5.2中的阈值校正。MSSM 5.2.1中的阈值校正。三重简并和味对角校正5.2.2.三重简并和味非对角校正5.2.3.双重简并和阈值校正6.结论，附录A，附录B，参考文献。
Fermion Masses and Mixing in Thick Branes
费米质量和混合，无论是在夸克和轻子部门，讨论的方法内的汤川之谜提出的Arkani-Hamed和Schmaltz。在夸克扇区中，我们已经证明，为了获得足够的CP破坏，同时再现正确的夸克质量谱和混合角，至少需要两个额外的维。我们还研究了在这种情况下，轻子质量和混合角抑制轻子数破坏带电轻子衰变的后果。
Neutrino Mass Matrix Related to Up-Quark Masses and Nearly Tribimaximal Mixing -- Based on a Yukawaon model --
基于一种新的质量谱和混合方法（Yukawaon模型），提出了一个用上夸克质量和CKM矩阵参数描述的中微子质量矩阵。质量矩阵成功地导致了一个几乎tribimmaximal混合，而无需假设任何离散对称性。
Lepton family symmetries for neutrino masses and mixing
我回顾了一些最近的进展（截至2005年12月）在应用非阿贝尔离散对称性的轻子的家庭结构，特别强调哈里森，帕金斯和斯科特的tribimalmaximal混合ananomaly。
Models of neutrino masses and mixings
我们简要回顾中微子质量和混合模型。鉴于现有的实验模棱两可，许多可能性仍然是开放的。在概述了主要的替代方案之后，我们专注于基于超对称大统一中三个广泛分裂的轻中微子的最受约束的一类模型。
Some properties of lepton mixing and neutrino masses can be computed under the assumption of A5 and CP as a symmetry in the leptonic sector. The results show that four mixing patterns accommodate well the oscillation data, i.e. all the mixing angles are in the 3sigma confidence region. We also introduce an explicit realization of this framework in the case of the Weinberg operator where the neutrino mass spectrum can be computed.
We consider different extensions of the standard model which can give rise to the small active neutrino masses through seesaw mechanisms, and their mixing. These tiny neutrino masses are generated at some high energy scale by the heavy seesaw fields which then get sequentially decoupled to give an effective dimension-5 operator. The renormalization group evolution of the masses and the mixing parameters of the three active neutrinos in the high energy as well as the low energy effective theory is reviewed in this article.
Absolute values of three neutrino masses from atmospheric mixing and an ansatz for the mixing-matrix elements
利用大气中微子混合的数据和一个简单的混合角函数形式，计算了三种中微子质量的绝对值：$m_3\cong 5.37\times 10^{-2} eV$，$m_2\cong 1.94\times 10^{-2} eV$，$m_1\cong 1.46\times 10^{-2} eV$ .计算了与太阳中微子混合有关的量：$(m_2^2-m_1^2) \cong 1.63\times 10^{-4} eV^2$，非最大混合$\tan^2θ_\sol \cong 0.56$。分析给出了一个建议的动力学起源的经验，大CP违反相关联的一个内在的，非常小的混合角在夸克部门。
Lectures on Models of Neutrino Masses and Mixings
我们提出了一个简明的评论模型的中微子质量和混合，特别强调最近的发展和当前的问题。我们详细讨论了试图从离散对称群，特别是A4的近似三-双极大混合。我们讨论了在试图将对称性扩展到夸克扇区和构建大统一版本时遇到的问题。
Neutrino Masses and Mixing from Bilinear R-Parity Violation
在超对称标准模型中，当双线性质量项违反R宇称时，中微子质量和混合产生。如果轻子味普适性在R宇称违反的软质量中成立，那么中微子间的混合矩阵具有限制形式。结果表明，只有小角度MSW解才能与CHOOZ实验结果和大气中微子数据相一致。
Neutrino Masses and Mixings with Flavor Symmetries
最近在Super-Kamiokande的大气中微子数据表明中微子的大味道混合。在三族模型中讨论了轻子质量矩阵模型，它给出了接近最大的味混合。特别地，我们研究了具有$S_3$或O（3）味对称性的模型的细节.
Cosmological Constraints on Neutrino Masses and Mixings
本文分析了由轻元素丰度、大尺度结构形成和宇宙微波背景辐射角起伏数据得出的中微子质量和混合的界限。讨论了中微子振荡在BBN中的作用和轻子不对称性的界限。
We propose a scheme, based on Δ(27) flavor symmetry and supplemented by other discrete symmetries and inverse seesaw mechanism, where both the light neutrino masses and the deviation from tri-bimaximal mixing matrix can be linked to the source of lepton number violation. The hierarchies of the charged leptons are explained. We find that the quark masses including their hierarchies and the mixing can also be constructed in a similar way.
In the scenario with degenerate neutrino masses at tree-level, we show how threshold corrections with either non-trivial or trivial mixing at tree-level have the power to generate the observed deviations from a degenerate spectrum. Moreover, it is possible to also generate the mixing fully radiatively when there is trivial mixing at tree-level. We give a brief overview over the topic and discuss the outcome of threshold corrections for degenerate neutrino masses in a supersymmetric model. A detailed description can be found in [arXiv:1412.4585].
Slepton Flavour Mixing and Neutrino Masses
指出味破坏的slepton交换对中微子质量和混合有重要贡献。对于低和中等的$\tanβ$，这样的效果可以支配通常的τ Yukawa耦合效应包括在重整化群的演变。混合角满足不同于重整化群方程不动点解的关系，从而产生所需的中微子质量分裂。
We present an SU(12) unification model with three light chiral families, avoiding any external flavor symmetries. The hierarchy of quark and lepton masses and mixings is explained by higher dimensional Yukawa interactions involving Higgs bosons that contain SU(5) singlet fields with VEVs about 50 times smaller than the SU(12) unification scale. The presented model has been analyzed in detail and found to be in very good agreement with the observed quark and lepton masses and mixings.
Hierarchy plus anarchy in quark masses and mixings
我们介绍了一个新的参数化的效果未知的修正，从新的物理夸克和轻子质量矩阵。这个参数化是用来研究如何修改的夸克质量和混合角的层次结构的汤川矩阵的随机扰动。我们讨论了几个例子的风味关系预测不同的质地，分析这些关系是如何影响的随机扰动。我们还评论的不太可能的可能性，未知的更正有助于显着的群众和混合的层次结构。
A Lecture on Neutrino Masses, Mixing and Oscillations
中微子混合和中微子振荡的基础被认为是。本文讨论了最近在太阳和大气中微子实验中获得的支持中微子振荡的证据。在三个大质量中微子混合的最小方案框架下，考虑了$Δm^{2}$在太阳和大气范围内的中微子振荡。
Flavor Mixing and the Masses of Quarks and Leptons
夸克的亚核民主的简单破坏导致第二和第三族之间的混合，与观察一致。引入第一和第二家庭之间的混合，人们发现一个有趣的模式的最大CP破坏，以及一个完整的确定的CKM矩阵的元素和酉三角形。
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