Kähler corrections and softly broken family symmetries
Author(s) -
Stephen F. King,
I.N.R. Peddie,
G.G. Ross,
Liliana Velasco-Sevilla,
O. Vives
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/07/049
Subject(s) - superpotential , yukawa potential , physics , mixing (physics) , homogeneous space , particle physics , quark , symmetry (geometry) , theoretical physics , supersymmetry , quantum mechanics , mathematics , geometry
Spontaneously broken family symmetry provides a promising origin for theobserved quark and lepton mass and mixing angle structure. In a supersymmetrictheory such structure comes from a combination of the contributions from thesuperpotential and the K\"{a}hler potential. The superpotential effects havebeen widely studied but relatively little attention has been given to theeffects of the K\"{a}hler sector. In this paper we develop techniques tosimplify the analysis of such K\"{a}hler effects. Using them we show that inthe class of theories with an hierarchical structure for the Yukawa couplingsthe K\"{a}hler corrections to both the masses and mixing angles aresubdominant. This is true even in cases that texture zeros are filled in by theterms coming from the K\"{a}hler potential.Comment: 15 pages, no figure. Minor typos corrected, improved presentation, several references added. Final version to be published in JHE
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