  An analytical model for fully developed three-dimensional incompressible
turbulence was recently proposed in the hydrodynamics community, based on the
concept of multiplicative chaos. It consists of a random field represented by
means of a stochastic integral, which, with only a few parameters, shares many
properties with experimental and numerical turbulence, including in particular
energy transfer through scales (the cascade) and intermittency
(non-Gaussianity) which is most conveniently controlled with a single
parameter. Here, we propose three models extending this approach to MHD
turbulence. Our formulae provide physically motivated 3D models of a turbulent
velocity field and magnetic field coupled together. Besides its theoretical
value, this work is meant to provide a tool for observers: a dozen of
physically meaningful free parameters enter the description, which is useful to
characterize astrophysical data.
