Anarchy and hierarchy
By N. Haba, H. Murayama. 2000
179 citations recorded by the source corpus.
We advocate a new approach to study models of fermion masses and mixings, namely anarchy proposed in Ref. [1]. In this approach, we scan the O(1) coefficients randomly. We argue that this is the correct approach when the fundamental theory is sufficiently complicated. Assuming there is no physical distinction among three generations of neutrinos, the probability distributions in MNS mixing angles can be predicted independent of the choice of the measure. This is because the mixing angles are distributed according to the Haar measure of the Lie groups whose elements diagonalize the mass matrices. The near-maximal mixings, as observed in the atmospheric neutrino data and as required in the LMA solution to the solar neutrino problem, are highly probable. ! ,
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a1bf90fcd0c7c09be870651db01747b12d4eff56
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In Nuclear and High Energy Physics
Citations in the corpus
- Flavor structures of charged fermions and massive neutrinos (2019, background): “The latter possibility was first suggested and discussed in 1980 [724] as a statistical solution to the quark flavor problem although it was not successful, and today this flavor anarchy approach has been further studied for both leptons and quarks [725, 726, 727, 728, 729, 730].”