Hierarchy and Anarchy in Quark Mass Matrices, or Can Hierarchy Tolerate Anarchy?

Details Hierarchy and Anarchy in Quark Mass Matrices, or Can Hierarchy Tolerate Anarchy? Hierarchy and Anarchy in Quark Mass Matrices, or Can Hierarchy Tolerate Anarchy?

2001-06-28

arxiv.org/abs/hep-ph/0106335v3

Phys.Lett. B516 (2001) 408-414

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX, 3 figures, to be submitted to Phys. Lett. B. Abstract and Introduction changed to better reflect conclusions

Scientific paper

10.1016/S0370-2693(01)00948-0

The consequences of adding random perturbations (anarchy) to a baseline hierarchical model of quark masses and mixings are explored. Even small perturbations of the order of 5% of the smallest non-zero element can already give deviations significantly affecting parameters of the Cabibbo-Kobayashi-Maskawa (CKM) matrix, so any process generating the anarchy should in general be limited to this order of magnitude. The regularities of quark masses and mixings thus appear to be far from a generic feature of randomness in the mass matrices, and more likely indicate an underlying order.

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