Natural fermion hierarchies from random Yukawa couplings
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 num...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2017)094 |
| _version_ | 1818047263463702528 |
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| author | Gero von Gersdorff |
| author_facet | Gero von Gersdorff |
| author_sort | Gero von Gersdorff |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T10:03:01Z |
| format | Article |
| id | doaj.art-e2d218e34b194e7981e9cf7e74ed0b5e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T10:03:01Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e2d218e34b194e7981e9cf7e74ed0b5e2022-12-22T01:53:19ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017911210.1007/JHEP09(2017)094Natural fermion hierarchies from random Yukawa couplingsGero von Gersdorff0Department of Physics, Pontifícia Universidade Católica de Rio de JaneiroAbstract 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.http://link.springer.com/article/10.1007/JHEP09(2017)094Beyond Standard ModelQuark Masses and SM Parameters |
| spellingShingle | Gero von Gersdorff Natural fermion hierarchies from random Yukawa couplings Journal of High Energy Physics Beyond Standard Model Quark Masses and SM Parameters |
| title | Natural fermion hierarchies from random Yukawa couplings |
| title_full | Natural fermion hierarchies from random Yukawa couplings |
| title_fullStr | Natural fermion hierarchies from random Yukawa couplings |
| title_full_unstemmed | Natural fermion hierarchies from random Yukawa couplings |
| title_short | Natural fermion hierarchies from random Yukawa couplings |
| title_sort | natural fermion hierarchies from random yukawa couplings |
| topic | Beyond Standard Model Quark Masses and SM Parameters |
| url | http://link.springer.com/article/10.1007/JHEP09(2017)094 |
| work_keys_str_mv | AT gerovongersdorff naturalfermionhierarchiesfromrandomyukawacouplings |