Skip to main content
Article thumbnail
Location of Repository

A new family symmetry for SO(10) GUTs

By Stephen F. King and Christoph Luhn

Abstract

We argue that the projective special linear group PSL2(7), also known as ?(168), has unique features which make it the most suitable discrete family symmetry for describing quark and lepton masses and mixing in the framework of SO(10) type unified models. In such models flavon fields in the sextet representation of PSL2(7) play a crucial role both in obtaining tri-bimaximal neutrino mixing as well as in generating the third family charged fermion Yukawa couplings. In preparation for physical applications, we derive the triplet representation of PSL2(7) in the basis S,T,U,V where S,T,U are the familiar triplet generators of S4 in the diagonal charged lepton basis where T is diagonal. <br/><br/>We also derive an analogous basis for the real sextet representation and identify the vacuum alignments which lead to tri-bimaximal neutrino mixing and large third family charged fermion Yukawa couplings

Topics: T1
Year: 2009
OAI identifier: oai:eprints.soton.ac.uk:154395
Provided by: e-Prints Soton
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://dx.doi.org/10.1016/j.nu... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.