Abstract
Assuming the Majorana nature of neutrinos, we recently performed a scan of leptonic mixing patterns derived from finite discrete groups of order less than 1536. Here we show that the 3 groups identified there as giving predictions close to experiment also contain another class of Abelian subgroups that predict an interesting leading-order quark mixing pattern where only the Cabibbo angle is generated at leading order. We further broaden our study by assuming that neutrinos are Dirac particles and find 4 groups of order up to 200 that can predict acceptable quark and leptonic mixing angles. Since large flavor groups allow for a multitude of leading-order mixing patterns, we define a measure that is suitable to compare the predictivity of a given flavor group, taking this fact into account. We give the result of this measure for a wide range of discrete flavor groups and identify the group as being most predictive in the sense of this measure. We further discuss alternative measures and their implications.
- Received 1 July 2013
DOI:https://doi.org/10.1103/PhysRevD.88.033018
© 2013 American Physical Society