New solution to doublettriplet splitting problem in SU(N) SUSY GUTs: towards a unification of flavour
Abstract
The missing VEV solution to the doublettriplet splitting problem in general SU(N) SUSY GUTs is found. Remarkably enough, it requires a strict equality of numbers of the fundamental colours and flavours in SU(N) and for the evenorder groups (N = 2k) gives the predominant breaking channel SU(N) > SU(k  1)_{c} ⊗ SU(k  1)_{f} ⊗ SU(2)_{W} ⊗ U(1) ⊗ U(1)' in the parameter natural area. The flavour subsymmetry breaking owing to some generic string inspired extra symmetries of the Higgs superpotential appears not to affect markedly the basic adjoint vacuum configuration in the model. Thus the both salient features of SM just as an interplay between colours and flavours (or families for due assignment of quarks and leptons) so the doublet structure of the weak interactions could be properly understood and accommodated in the framework of the minimal SU(8) model. Among its predictions the most crucial one belongs to the existence on the TeV scale just three families of pseudoGoldstone bosons and their superpartners 3(5+5) + SU(5)singlets which noticeably improve the unification picture of MSSM.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)007144
 arXiv:
 arXiv:hepph/9704238
 Bibcode:
 1997PhLB..407..234C
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 13 pages, LaTeX