Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries

Details Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries

2009-07-14

arxiv.org/abs/0907.2332v2

JHEP 0909:018,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages

Scientific paper

10.1088/1126-6708/2009/09/018

We discuss the possibility of obtaining a non-abelian discrete flavor symmetry from an underlying continuous, possibly gauged, flavor symmetry SU(2) or SU(3) through spontaneous symmetry breaking. We consider all possible cases, where the continuous symmetry is broken by small representations. "Small" representations are these which couple at leading order to the Standard Model fermions transforming as two- or three-dimensional representations of the flavor group. We find that, given this limited representation content, the only non-abelian discrete group which can arise as a residual symmetry is the quaternion group D_2'.

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