arXiv 0909.30902009-09hep-phastro-ph.CO

标准模型中中微子质量和混合的起源

On The Origin of Neutrino Mass and Mixing in the Standard Model

Bob McElrath

备注：: Withdrawn because of an error in Eq.13 (prediction of neutrino mixings)

摘要：

我们可以通过在标准模型的拉格朗日量上加上拉格朗日乘子来描述宇宙学上的遗迹中微子。两个可能的拉格朗日乘子是化学势和马约拉纳质量，前者固定平均中微子/反中微子不对称性，后者固定平均自旋熵。由于这些中微子来自热浴，它们的熵应该是最大的，这意味着背景中的每个状态都是中微子和反中微子的对称叠加。因此，标准模型必须用味对角马约拉纳中微子质量矩阵来扩充。由于自我相互作用，这通过蝌蚪图影响传播者。在低能量极限，中微子自相互作用完全是非对角的，因为相同味道的四费米子算符通过泡利不相容而消失。利用U（3）整体味对称性，当这些相互作用在中微子池中传播时，必须对角化。U（3）被Majorana质量分解为SO（3），如果三个质量不同，则分解为$A_4$。因此，我们今天的宇宙包含三双峰混合和马约拉纳中微子。中微子混合是由于在有限密度下产生的味对角马约拉纳质量矩阵和自相互作用对角有限密度传播子之间的不匹配。群众阶层是颠倒的，马约拉纳阶段缺席。轻子数是守恒的，无中微子双β衰变实验从遗迹背景中吸收了一对中微子，将证明它们的马约拉纳性质。

英文摘要：

One can describe cosmological relic neutrinos by adding Lagrange multipliers to the Standard Model Lagrangian for them. The two possible Lagrange multipliers are a chemical potential, which fixes the mean neutrino/anti-neutrino asymmetry, and a Majorana mass, which fixes the mean spin-entropy. Because these neutrinos originated from a thermal bath, their entropy should be maximal, implying that each state in the background is a symmetric superposition of a neutrino and anti-neutrino. Therefore the Standard Model must be augmented by a flavor-diagonal Majorana neutrino mass matrix. This impacts the propagator via tadpole diagrams due to self-interactions. In the low-energy limit, neutrino self-interactions are entirely off-diagonal because same-flavor four-fermion operators vanish by Pauli exclusion. These interactions must be diagonalized when propagating through a bath of neutrinos, using the U(3) global flavor symmetry. U(3) gets broken broken down to SO(3) by Majorana masses, and down to $A_4$ if the three masses are different. Thus our universe today contains tri-bimaximal mixing and Majorana neutrinos. Neutrino mixing is due to the mismatch between the flavor-diagonal Majorana mass matrix arising at finite density and the self-interaction diagonal finite density propagator. The mass hierarchy is inverted and Majorana phases are absent. Lepton number is conserved and the neutrino-less double beta decay experiment absorbs a pair of neutrinos from the relic background and will prove their Majorana nature.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文