论文标题
非共同的几何形状，洛伦兹标准模型及其B-l扩展
Noncommutative geometry, the Lorentzian Standard Model and its B-L extension
论文作者
论文摘要
我们探索了两个模型的1循环重新归一化组流，这些模型来自洛伦兹签名中的非交通性几何形状的概括：非交通性标准模型及其B-l扩展。两者都对高能的耦合常数进行预测，但只有后者与Electroweak量表上的顶部夸克和希格斯玻色子质量兼容。我们考虑了阈值效应以及狄拉克和主要中微子质量矩阵引入的更正，并发现它们很重要。简要讨论了2环校正的某些效果。该模型仅与其参数空间的一小部分实验一致，因此具有预测性。发现$ z'$和b-l破坏标量的质量是$ 10^{14} $ gev的订单。
We explore the 1-loop renormalization group flow of two models coming from a generalization of the Connes-Lott version of Noncommutative Geometry in Lorentzian signature: the Noncommutative Standard Model and its B-L extension. Both make predictions on coupling constants at high energy, but only the latter is found to be compatible with the top quark and Higgs boson masses at the electroweak scale. We took into account corrections introduced by threshold effects and the relative positions of the Dirac and Majorana neutrino mass matrices and found them to be important. Some effects of 2-loop corrections are briefly discussed. The model is consistent with experiments only for a very small part of its parameter space and is thus predictive. The masses of the $Z'$ and B-L breaking scalar are found to be of the order $10^{14}$ GeV.
