On a possibility to calculate fundamental parameters of the Standard Model

Abstract

The problem of a calculation of parameters of the Standard Model is considered in the framework of the compensation approach. Conditions for a spontaneous generation of effective interactions of fundamental fields are shown to lead to sets of equations for parameters of a theory. A principal possibility to calculate mass ratios of fundamental quarks and leptons is demonstrated, as well of mixing angles of quarks, e.g. of the Cabibbo angle. A possibility of a spontaneous generation of an effective interaction of electroweak gauge bosons $W^a$ and $B$ is demonstrated. In case of a realization of a non-trivial solution of a set of compensation equations, parameter $\sin^2\theta_W$ is defined. The non-trivial solution is demonstrated to provide a satisfactory value for the electromagnetic fine structure constant $\alpha$ at scale $M_Z$: $\alpha(M_Z) = 0.00772$. The results being obtained may be considered as sound arguments on behalf of a possibility of a calculation of parameters of the Standard Model.