Quark and leptonic mixing patterns from the breakdown of a common discrete flavor symmetry

Martin Holthausen and Kher Sham Lim
Phys. Rev. D 88, 033018 – Published 30 August 2013

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 (Z18×Z6)S3 as being most predictive in the sense of this measure. We further discuss alternative measures and their implications.

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  • Received 1 July 2013

DOI:https://doi.org/10.1103/PhysRevD.88.033018

© 2013 American Physical Society

Authors & Affiliations

Martin Holthausen* and Kher Sham Lim

  • Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany

  • *martin.holthausen@mpi-hd.mpg.de
  • khersham.lim@mpi-hd.mpg.de

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Vol. 88, Iss. 3 — 1 August 2013

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