paper

Natural Fermion Hierarchies from Random Yukawa Couplings

arXiv:1705.05430 · doi:10.1007/JHEP09(2017)094

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.

9 pages. v2: Extended and improved discussion on CKM matrix. References added. Matches published version

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