A non-minimal $\vec{{\bf SO}(10) \times {\bf U}(1)_{\bf F}}$ SUSY - GUT model obtained from a bottom-up approach

Carl H. Albright

doi:doi:10.1007/s100520050114

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

2023 Impact factor 4.2

Particles and Fields

Eur. Phys. J. C 1, 657-667

A non-minimal $\vec{{\bf SO}(10) \times {\bf U}(1)_{\bf F}}$ SUSY - GUT model obtained
from a bottom-up approach

Carl H. Albright^1,2

¹ Department of Physics, Northern Illinois University, DeKalb, Illinois 60115
² Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510-0500 (e-mail: albright@fnal.gov)

Received: 20 March 1997

Abstract
Many of the ingredients are explored which are needed to develop a supersymmetric $SO(10) \times U(1)_F$ grand unified model based on the Yukawa structure of a model previously constructed in collaboration with S. Nandi to explain the quark and lepton masses and mixings in a particular neutrino scenario. The U(1)_F family symmetry can be made anomaly-free with the introduction of one conjugate pair of SO(10)-singlet neutrinos with the same U(1)_F charge. Due to a plethora of conjugate pairs of supermultiplets, the model develops a Landau singularity within a factor of 1.5 above the GUT scale. With the imposition of a Z₂ discrete symmetry and under certain conditions, all higgsino triplets can be made superheavy while just one pair of higgsino doublets remains light and results in mass matrix textures previously obtained from the bottom-up approach. Diametrically opposite splitting of the first and third family scalar quark and lepton masses away from the second family ones results from the nonuniversal D-term contributions.