论文标题
一种预测性和可检验的统一统一理论,混合和瘦肉发生
A Predictive and Testable Unified Theory of Fermion Masses, Mixing and Leptogenesis
论文作者
论文摘要
我们考虑一个最小的非苏匹配$ so(10)$统一理论(GUT)模型,该模型可以重现标准模型的观察到的费米子质量和混合参数。我们使用两环重新分析组方程计算从肠道到标准模型量规组的自发对称性分解的尺度。此过程确定了质子衰减率和$ u(1)_ {b-l} $断裂的比例,该质子会生成宇宙字符串和右手中微子的质量尺度。因此,鉴定了热静脉生成的参数空间区域,并与费米亚质量和混合,中微子双β衰减速率,质子衰减速率以及由宇宙弦网络产生的重力波信号相关。我们证明,该框架可以解释标准模型费米昂质量和混合以及观察到的重子不对称性,将受到下一代引力波检测器和中微子振荡实验的高度限制,这也将限制质子寿命。
We consider a minimal non-supersymmetric $SO(10)$ Grand Unified Theory (GUT) model that can reproduce the observed fermionic masses and mixing parameters of the Standard Model. We calculate the scales of spontaneous symmetry breaking from the GUT to the Standard Model gauge group using two-loop renormalisation group equations. This procedure determines the proton decay rate and the scale of $U(1)_{B-L}$ breaking, which generates cosmic strings and the right-handed neutrino mass scales. Consequently, the regions of parameter space where thermal leptogenesis is viable are identified and correlated with the fermion masses and mixing, the neutrinoless double beta decay rate, the proton decay rate, and the gravitational wave signal resulting from the network of cosmic strings. We demonstrate that this framework, which can explain the Standard Model fermion masses and mixing and the observed baryon asymmetry, will be highly constrained by the next generation of gravitational wave detectors and neutrino oscillation experiments which will also constrain the proton lifetime.