  Advection-diffusion problems of magnetic field and tracer field are analyzed
using the field theoretic perturbative renormalization group. Both advected
fields are considered to be passive, i.e., without any influence on the
turbulent environment, and advecting velocity field is generated by
compressible version of stochastic Navier-Stokes equation. The model is
considered in the vicinity of space dimension $d=4$ and is a continuation of
previous work [N.V. Antonov et al., Phys. Rev. E 95, 033120 (2017)]. The
perturbation theory near the special dimension $d=4$ is constructed within a
double expansion scheme in $y$ (which describes scaling behavior of the random
force that enters a stochastic equation for the velocity field) and
$\epsilon=4-d$. We show that up to one-loop approximation both types of
advected fields exhibit similar universal scaling behavior. In particular, we
demonstrate this statement on the inertial range asymptotic behavior of the
correlation functions of advected fields. The critical dimensions of tensor
composite operators are calculated in the leading order of $(y,\epsilon)$
expansion.
