Eur. Phys. J. C (2007) 51: 721-729
https://doi.org/10.1140/epjc/s10052-007-0324-5

Regular Article - Theoretical Physics

A renormalizable SO(10) GUT scenario with spontaneous CP violation

Fakultät für Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

^* e-mail: walter.grimus@univie.ac.at

Received: 2 January 2007
Revised: 3 May 2007
Published online: 14 June 2007

Abstract

We consider fermion masses and mixings in a renormalizable SUSY SO(10) GUT with Yukawa couplings of scalar fields in the representation . We investigate a scenario defined by the following assumptions. (i) We have a single large scale in the theory, the GUT scale. (ii) The small neutrino masses are generated by the type I seesaw mechanism with negligible type II contributions. (iii) We assume a suitable form of spontaneous CP breaking that induces hermitian mass matrices for all fermion mass terms of the Dirac type. Our assumptions define an 18-parameter scenario for the fermion mass matrices for 18 experimentally known observables. Performing a numerical analysis, we find excellent fits to all observables in the case of both the normal and inverted neutrino mass spectrum.