  The self-gravitating Higgs field of a scalar charge has been studied. It is
shown that in the zero and first approximation of the smallness of the scalar
charge, the gravitational field of the scalar charge is described by the
Schwarzschild-de Sitter metric with a cosmological constant determined by the
vacuum potential of the Higgs field. An equation for the perturbation of the
vacuum potential is obtained and studied. Particular exact solutions of the
field equation are given. It is shown that in the case of a naked singularity,
solutions to the field equation have the character of microscopic oscillations
with a Compton wavelength. Limiting asymptotic cases of the behavior of
solutions are studied and their comparative analysis is carried out in relation
to the Fisher solution. The averaging of microscopic oscillations of the scalar
field was carried out and it was shown that they make a negative contribution
to the macroscopic energy of the scalar field, reducing the observed value of
the Black Hole mass. A computer simulation of a scalar field has been carried
out, demonstrating various types of behavior of solutions.
  Keywords: scalarly charged Black hole, scalar Higgs field, asymptotic
behavior, macroscopic characteristics.
