论文标题
与风味和CP对称性的低尺度瘦素发生
Low-scale leptogenesis with flavour and CP symmetries
论文作者
论文摘要
我们考虑了一个I型Seesaw框架,具有来自一系列非亚伯群的风味对称性$δ(3 n^2)$和$δ(6 n^2)$和CP对称性。在非试图上打破这些对称性会导致右手中微子在质量中退化为可能的(进一步的对称性破坏对称性)分裂$κ$和$λ$,而中微子Yukawa耦合矩阵在中微子领域编码了整个风味结构。对于固定的风味和CP对称性和残留组的固定组合,该矩阵具有五个真正的自由参数。其中四个是由光中微子质量和在Lepton混合的数据设置的,而$θ_R$与右手中微子有关。我们对所有四种Lepton混合模式进行了仔细检查,并通过病例3 B.1分组为案例1),这是通过在数值和分析上通过低规模的诱导生成来产生宇宙不对称(BAU)的baryon不对称的潜力。主要结果是:a)在某些情况下,BAU和PMN混合矩阵的主要阶段的可能相关性; b)根据案例和群体理论参数的选择,有可能为零$κ$和$λ$以及大型$κ$生成正确数量的BAU; c)有机会为大型活动混合角生产足够的BAU,从而在当前和将来的设施上进行直接的实验测试,以$θ_r$接近特殊值,并可能受到增强的残差对称性的保护。我们通过代表性的风味和CP对称性示例阐明了这些结果,这都与测得的Lepton混合角度以及CP相$δ$的当前暗示达到了良好的一致性。我们确定与低规模瘦化相关的CP侵略组合,并表明在数值上发现的BAU的参数依赖性可以在其帮助下可以很好地理解。
We consider a type-I seesaw framework with a flavour symmetry from the series of non-abelian groups $Δ(3 n^2)$ and $Δ(6 n^2)$ and a CP symmetry. Breaking these symmetries non-trivially results in the right-handed neutrinos being degenerate in mass up to possible (further symmetry-breaking) splittings $κ$ and $λ$, while the neutrino Yukawa coupling matrix encodes the entire flavour structure in the neutrino sector. For a fixed combination of flavour and CP symmetry and residual groups, this matrix has five real free parameters. Four of them are set by light neutrino masses and data on lepton mixing, while $θ_R$ is related to right-handed neutrinos. We scrutinise for all four lepton mixing patterns, grouped into Case 1) through Case 3 b.1), the potential to generate the baryon asymmetry of the Universe (BAU) through low-scale leptogenesis numerically and analytically. The main results are: a) the possible correlation of the BAU and the Majorana phases of the PMNS mixing matrix in certain instances; b) the possibility to generate the correct amount of BAU for zero $κ$ and $λ$ as well as for large $κ$, depending on the case and choice of group theory parameters; c) the chance to produce sufficient BAU for large active-sterile mixing angles, enabling direct experimental tests at current and future facilities, for $θ_R$ close to a special value, potentially protected by an enhanced residual symmetry. We elucidate these results with representative examples of flavour and CP symmetries, which all lead to a good agreement with the measured lepton mixing angles and, possibly, the current hint of the CP phase $δ$. We identify the CP-violating combinations relevant for low-scale leptogenesis, and show that the parametric dependence of the BAU found numerically can be understood well with their help.