Pinning down the New Minimal Supersymmetric GUT

Abstract

We show that generic $10\oplus 120\oplus \overline{126}$ 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.

Minor changes : (1) Abstract : Phrase "complex Higgs doublet vevs" made more precise and a conjunction deleted (2)References : Umlauts inserted in an author name

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Cited by in corpus (23)

• Fermion Masses in SO(10) Models
• Intermediate mass scales in the non-supersymmetric SO(10) grand unification: a reappraisal
• Fits to SO(10) Grand Unified Models
• On the vacuum of the minimal nonsupersymmetric SO(10) unification
• The New Minimal Supersymmetric GUT : Spectra, RG analysis and Fermion Fits
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• Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$
• Viability of the exact tri-bimaximal mixing at M_{GUT} in SO(10)
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• Aspects of symmetry breaking in Grand Unified Theories
• Surveying the SO(10) Model Landscape: The Left-Right Symmetric Case
• Determining Heavy Mass Parameters in Supersymmetric SO(10) Models
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• An SO(10) model with adjoint fermions for double seesaw neutrino masses
• Flavour structure of supersymmetric SO(10) GUTs with extended matter sector
• Quasi-degenerate neutrinos in SO(10)
• NMSGUT emergence and Trans-Unification RG flows
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