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Flavour symmetries in a renormalizable SO(10) model

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In the context of a renormalizable supersymmetric SO(10) Grand Unified Theory, we consider the fermion mass matrices generated by the Yukawa couplings to a 10 circle plus 120 circle plus (126) over bar representation of scalars. We perform a complete investigation of the possibilities of imposing flavour symmetries in this scenario; the purpose is to reduce the number of Yukawa coupling constants in order to identify potentially predictive models. We have found that there are only 14 inequivalent cases of Yukawa coupling matrices, out of which 13 cases are generated by 74 symmetries, with suitable n, and one case is generated by a Z(2) x Z(2) symmetry. A numerical analysis of the 14 cases reveals that only two of them-dubbed A and B in the present paper allow good fits to the experimentally known fermion masses and mixings. (C) 2016 The Authors. Published by Elsevier B.V.

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Grand unified theory Fermion masses Neutrino masses CP violation GUT Mixings Unification Spectrum MSGUT

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FERREIRA, Pedro Miguel Martins; [et al.] - Flavour symmetries in a renormalizable SO(10) model. Nuclear physics. ISSN 0550-3213. Vol. 906 (2016), pp. 289-320

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Elsevier Science BV

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