论文标题
$τ= i $的不可抗拒的电话
The irresistible call of $τ=i$
论文作者
论文摘要
我们分析了一系列Lepton群众和混合角度的模块化模型模型,并指出其中许多人更喜欢生活在自偶点$τ= i $附近。我们表明,在这一点的附近,普遍的行为自然而然地出现,独立于该理论的细节,例如作用于Lepton多重组的有限模块化群,物质多数的权重,甚至动力学术语的形式,这些术语既不是最小也不是最小的风味盲。正常订购中微子质谱,并且普遍关系描述了物理可观察物的缩放,这是$ |τ-i | $的缩放。
We analyze a large set of modular invariant models of lepton masses and mixing angles, pointing out that many of them prefer to live close to the self-dual point $τ=i$. We show that in the vicinity of this point a universal behavior naturally emerges, independently from details of the theory such as the finite modular group acting on the lepton multiplets, the weights of the matter multiplets and even the form of the kinetic terms, which are not required to be neither minimal nor flavour blind. The neutrino mass spectrum is normally ordered and universal relations describe the scaling of the physical observables in terms of the parameter $|τ-i|$.