Pinning down the New Minimal Supersymmetric GUT

Understand

We show that generic $ {\bf{10\oplus 120\oplus {\bar {126}}}}$ fits of fermion masses and mixings, using real superpotential couplings but with complex `Higgs fractions' leading to complex yukawa couplings in the effective MSSM, \emph{overdetermine}(by one extra constraint) the superpotential parameters of the New Minimal Supersymmetric SO(10) GUT\cite{nmsgut}.

• Therefore fits should properly be done by generating the 24 generic fit parameters from the 23 parameters of the NMSGUT superpotential, given $\tan\beta$ as input.
• Each numerical fit then \emph{fully specifies} the parameters of the NMSGUT.
• An analysis of all its implications, modulo only the residual uncertainty of supersymmetry breaking parameters, is now feasible.