论文标题
关于B-L扩展光谱标准模型中对称性破裂
On symmetry breaking in the B-L extended spectral Standard Model
论文作者
论文摘要
我们将Connes-Chamseddine光谱动作应用于$ u（1）_ {\ rm b-l} $ - 标准模型的扩展。我们表明，为了使新复杂标量字段的非零值达到其最小值，从而触发了B-L对称性的破坏，则必须在统一尺度上满足对四分之一耦合常数的约束。然后，我们在两个相反的中微子部门的情况下探索了该模型的重新归一化流，并表明该约束与顶部夸克和SM Higgs玻色子的极质量不兼容。我们还表明，该模型的质量分类问题类似于大统一理论的双重划分分裂问题。我们讨论对非交通性几何计划的潜在影响。
We apply Connes-Chamseddine spectral action to the $U(1)_{\rm B-L}$- extension of the Standard Model. We show that in order for the scalar potential to reach its minimum for a non-zero value of the new complex scalar field, thus triggering the breaking of B-L symmetry, a constraint on the quartic coupling constants must be satisfied at unification scale. We then explore the renormalization flow of this model in two opposite scenarios for the neutrino sector, and show that this constraint is not compatible with the pole masses of the top quark and SM Higgs boson. We also show that the model suffers from a mass-splitting problem similar to the doublet-triplet splitting problem of Grand Unified Theories. We discuss potential implications for the Noncommutative Geometry program.
