Correlations for the constants values of the Standard Model for electromagnetic, strong and weak interactions of fundamental particles

It is carried out the comparative analysis of some theoretical and phenomenological relations among constants of the extended Standard Model for electromagnetic, strong and weak interactions of fundamental particles (further the extended Standard Model) in order to find possible correlations for constants in the quark and lepton sectors. Availability of such correlations may attest to some connections for constants in the framework of a theory more general than the extended Standard Model. A number of theoretical relations among constants are considered and an accuracy of fulfi llment of these relations obtained in the main approximation of the extended Standard Model is evaluated. Then phenomenological relations between masses of current and constituent quarks and their mixing angles are considered. A typical estimation of accuracy of these theoretical and phenomenological relations is obtained. A phenomenological relation for constituent quark masses and a mixing angle for quarks is suggested. The quark-lepton complementarity relation for quark and neutrino mixing angles is verifi ed. Functional dependences for coupling constants of electromagnetic, strong and weak interactions on the square of a four-dimensional vector of energy and momentum are represented. An example of a grand unifi cation theory is demonstrated together with possible levels of spontaneous violation of its gauge symmetry to the gauge symmetry of the extended Standard Model.

It is pointed out that additional Higgs particles are appeared at these levels of spontaneous violation. The quark-lepton complementarity relation verifi ed in the article for quark and neutrino mixing angles can be a consequence of a fundamental link between Cabibbo-Kobayashi-Maskava and Pontecorvo-Maki-Nakagava-Sakata matrices in a future grand unifi cation theory. In this case the received result will promote finding of such theory.

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