Seminarium "Teoria cząstek elementarnych i kosmologia"

The method of reduction of couplings is applied to a Finite Unified Theory and in the MSSM. The method is based on searching for renormalization group invariant relations among couplings of a renormalizable theory which holds to all orders in perturbation theory. It leads to relations, at the unification scale, among gauge and Yukawa couplings (in the dimensionless sectors of the theory) and relations among the couplings of the trilinear terms and the Yukawa couplings, as well as a sum rule among the scalar masses and the gaugino mass (in the soft breaking sector). In the Finite Unified Theory model we predict, with remarkable agreement with the experiment, the masses of the top, bottom quarks and Higgs boson, while our predictions for the other Higgs masses and the supersymmetric spectrum are in comfortable agreement with the LHC bounds on the other Higgs and supersymmetric particles. Similar results are obtained in the case of reducing the MSSM.