Order and anarchy hand in hand in 5D SO(10)

4th Symposium on Prospects in the Physics of Discrete Symmetries

Vicino, D.^1,2

Dipartimento di Fisica e Astronomia G. Galilei, Universita di Padova, Via Marzolo 8, Padua

I-35131, Italy^1

Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padua

I-35131, Italy^2

关键词: Extra dimensions;    Grand unified theories;    Hand in hands;    Mode profiles;    Neutrino spectrum;    Predictive modeling;    Scalar fields;    Yukawa couplings;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/631/1/012026/pdf
DOI  :  10.1088/1742-6596/631/1/012026

来源: IOP

【 摘 要 】

A mechanism to generate flavour hierarchy via 5D wave-function localization is revisited in the context of SO(10) grand unified theory. In an extra-dimension compactified on an orbifold, fermions (living in the same 16 representation of SO(10)) result having exponential zero-modes profiles, localized around one of the brane. The breaking of SO(10) down to SU(5) × U(1)xprovides the key parameter that distinguishes the profiles of the different SU(5) components inside the same 16 representation. Utilizing a suitable set of scalar fields, a predictive model for fermion masses and mixing is constructed and shown to be viable with the current data through a detailed numerical analysis. The scalar field content of the model is also suitable to solve the doublet-triplet splitting problem through the missing partner mechanism. All the Yukawa couplings in the model are anarchical and of order unity, while the hierarchies among different fermions result only from zero-mode profiles. The naturalness of Anarchical Yukawa couplings is studied, showing a preference for a normal ordered neutrino spectrum; predictions for various observables in the lepton sector are also derived.