Inflaton and the Higgs field in the conformal theory of supergravity

It is known that the Higgs fields can make in supersymmetric theories a nonzero contribution to the vacuum energy; therefore, they must be taken into account in cosmological models that are constructed within the framework of the theory of supergravity. The goal of this paper is to construct a conformally invariant supersymmetric field model that describes the dark energy phenomenon and includes the Higgs field, providing a mechanism for spontaneous breaking of electroweak symmetry in accordance with experimental data predicted by the standard model of particle physics. The action of conformal supergravity was constructed, which is a conformal generalization of the minimally supersymmetric standard model and describing the interaction of the Higgs field with the inflaton field. The modern stage of expansion of the Universe is investigated. It is shown that in this theory a cosmological solution can be obtained, consistent with the Hubble law. The masses of all Higgs bosons are found. The coupling constants of the theory are chosen so that the value of the Hubble constant, as well as the masses and charges of all the particles of the standard model, correspond to the data of observations and experiments.