SO(10) SUSY GUT for Fermion Masses : Lepton Flavor and CP Violation

Abstract

We discuss the results of a global ${\chi }^2$ analysis of a simple SO(10) SUSY GUT with $D_3$ family symmetry and low energy R parity. The model describes fermion mass matrices with 14 parameters and gives excellent fits to 20 observable masses and mixing angles in both quark and lepton sectors, giving 6 predictions. Bi-large neutrino mixing is obtained with hierarchical quark and lepton Yukawa matrices; thus avoiding the possibility of large lepton flavor violation. The model naturally predicts small 1-3 neutrino mixing, with $\sin {\theta }_{13}\simeq 0.05-0.06$. In this paper we evaluate the predictions for the lepton flavor violating processes, $\mu \to e\gamma$, $\tau \to \mu \gamma$ and $\tau \to e\gamma$ and also the electric dipole moment of the electron, $d_e$, muon and tau, assuming universal squark and slepton masses, $m_{16}$, and a universal soft SUSY breaking A parameter, $A_0$, at the GUT scale. We find $Br(\mu \to e\gamma )$ is naturally below present bounds, but may be observable by MEG. Similarly, $d_e$ is below present bounds; but is within the range of future experiments. We also give predictions for the light Higgs mass (using FeynHiggs). We find an upper bound given by $m_h\le 127$ GeV, with an estimated $\pm 3$ GeV theoretical uncertainty. Finally we present predictions for SUSY particle masses in the favored region of parameter space.

25 pages, 18 figures, several typos in captions of tables 2 and 3 corrected, acknowledgments added

Cited by in corpus (17)

• The Unique Horizontal Symmetry of Leptons
• Fermion Masses in SO(10) Models
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• SUSY GUTs with Yukawa unification: a go/no-go study using FCNC processes
• Different SO(10) Paths to Fermion Masses and Mixings
• Heavy-flavour tagging and the supersymmetry reach of the CERN Large Hadron Collider
• Solving the SUSY Flavour and CP Problems with Non-Abelian Family Symmetry and Supergravity
• Yukawa Unification Predictions for the LHC
• Challenging SO(10) SUSY GUTs with family symmetries through FCNC processes
• Exceptional Supersymmetric Standard Models with non-Abelian Discrete Family Symmetry
• SUSY GUT Model Building
• Constraints on Supersymmetric Flavour Models from b->s gamma
• SO(10) unified models and soft leptogenesis
• Flavor Physics in SO(10) GUTs with Suppressed Proton decay Due to Gauged Discrete Symmetry
• Bridging flavour violation and leptogenesis in SU(3) family models
• Primordial black holes from D-parity breaking in SO(10) grand unified theory