A realistic renormalizable supersymmetric E6 model

Abstract

A complete realistic model based on the supersymmetric version of $E_6$ is presented. It consists of three copies of matter 27, and a Higgs sector made of $2\times (27+\overline{27})+351^{\prime }+\overline{351^{\prime }}$ representations. An analytic solution to the equations of motion is found which spontaneously breaks the gauge group into the Standard Model. The light fermion mass matrices are written down explicitly as non-linear functions of three Yukawa matrices. This contribution is based on Ref. [1].

Comments: 8 pages, invited talk presented by B.B. at the theory workshop on "Neutrino Physics and Astrophysics", CETUP* 2013 program, July 15 - July 26, 2013, Lead, South Dakota. To be published in the Proceedings