Anarchy with Hierarchy: A Probabilistic Appraisal
arXiv:1612.07787 · doi:10.1103/PhysRevD.95.055014
Abstract
The masses of the charged fermion and the mixing angles among quarks are observed to be strongly hierarchical, while analogous parameters in the neutrino sector appear to be structure-less or anarchical. We develop a class of unified models based on SU(5) symmetry that explains these differing features probabilistically. With the aid of three input parameters that are hierarchical, and with the assumption that all the Yukawa couplings are uncorrelated random variables described by Gaussian distributions, we show by Monte Carlo simulations that the observed features of the entire fermion spectrum can be nicely reproduced. We extend our analysis to an SU(5)-based flavor U(1) model making use of the Froggatt-Nielsen mechanism where the order one Yukawa couplings are modeled as random variables, which also shows good agreement with observations.
46 pages, 16 figures; Reference list has been updated
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Cited by in corpus (8)
- Neutrino Mass Priors for Cosmology from Random Matrices
- Effective Theory of Flavor for Minimal Mirror Twin Higgs
- Towards Minimal SU(5)
- Flavor Hierarchies from Clockwork in SO(10) GUT
- FIMP Dark Matter from Flavon Portals
- Anarchy and Neutrino Physics
- A Mellin Transform Approach to Rephasing Invariants
- Probability Density Functions for CP-Violating Rephasing Invariants