Abstract
The Standard Model of particle physics requires Yukawa matrices with eigenvalues 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.
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ArXiv ePrint: 1705.05430
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von Gersdorff, G. Natural fermion hierarchies from random Yukawa couplings. J. High Energ. Phys. 2017, 94 (2017). https://doi.org/10.1007/JHEP09(2017)094
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DOI: https://doi.org/10.1007/JHEP09(2017)094