Kähler corrections and softly broken family symmetries

Abstract

Spontaneously broken family symmetry provides a promising origin for the observed quark and lepton mass and mixing angle structure. In a supersymmetric theory such structure comes from a combination of the contributions from the superpotential and the K\"{a}hler potential. The superpotential effects have been widely studied but relatively little attention has been given to the effects of the K\"{a}hler sector. In this paper we develop techniques to simplify the analysis of such K\"{a}hler effects. Using them we show that in the class of theories with an hierarchical structure for the Yukawa couplings the K\"{a}hler corrections to both the masses and mixing angles are subdominant. This is true even in cases that texture zeros are filled in by the terms coming from the K\"{a}hler potential.