Pinning down the New Minimal Supersymmetric GUT

TL;DR

This paper demonstrates that the New Minimal Supersymmetric SO(10) GUT can be precisely constrained by fermion mass fits, enabling detailed predictions and potential falsification through future discoveries of supersymmetry and proton decay.

Contribution

It shows how to overdetermine the NMSGUT parameters using fermion mass fits, linking them to gauge unification and enabling comprehensive testing of the model.

Findings

Fermion mass fits fully specify NMSGUT parameters

Overdetermination introduces an extra constraint on superpotential parameters

Future discoveries could falsify the NMSGUT

Abstract

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. Thus the NMSGUT offers the possibility of a confrontation between the scale of gauge unification and the fit to fermion masses due to their extractable common dependence on the NMSGUT parameters. If and when `smoking gun' discoveries of Supersymmetry and Proton decay occur they will find the NMSGUT fully vulnerable to falsification.