paper

Charged-fermion masses in SO(10): analysis with scalars in 10+120

arXiv:hep-ph/0603259 · doi:10.1016/j.nuclphysb.2006.07.024

Abstract

We consider the scenario in which the mass matrices of the charged fermions in the SO(10) Grand Unified Theory are generated exclusively by renormalizable Yukawa couplings to one representation of scalars. We analyze, partly analytically and partly numerically, this scenario in the three-generations case. We demonstrate that it leads to unification of the and masses at the GUT scale. Testing this scenario against the mass values at the GUT scale, obtained from the renormalization-group evolution in the minimal SUSY extension of the Standard Model, we find that it is not viable: either the down-quark mass or the top-quark mass must be unrealistically low. If we include the CKM mixing angles in the test, then, in order that the mixing angles are well reproduced, either the top-quark mass or the strange-quark mass together with the down-quark mass must be very low. We conclude that, assuming a SUSY SO(10) scenario, charged-fermion mass generation based exclusively on one representation of scalars is in contradiction with experiment.

18 pages, 3 eps figures; references added and corrected. We have also corrected an error in the code for the CKM matrix; the ensuing results are sharper at eliminating our scenario. In version 3 we have rectified a statement concerning Ref.[18] and added one reference and some phrases; final version for Nucl. Phys. B

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