Natural Fermion Hierarchies from Random Yukawa Couplings
High Energy Physics - Phenomenology
2017-10-25 v2
Abstract
The Standard Model of particle physics requires Yukawa matrices with eigenval- ues that differ by orders of magnitude. We propose a novel way to explain this fact without any small or large parameters. The mechanism is based on the observation that products of matrices of random order one-numbers have hierarchical spectra. The same mechanism can easily account for the hierarchical structure of the quark mixing matrix.
Keywords
Cite
@article{arxiv.1705.05430,
title = {Natural Fermion Hierarchies from Random Yukawa Couplings},
author = {Gero von Gersdorff},
journal= {arXiv preprint arXiv:1705.05430},
year = {2017}
}
Comments
9 pages. v2: Extended and improved discussion on CKM matrix. References added. Matches published version