  We study the nature of the Helium-3 superfluid transition from the normal to
the planar phase, which is expected to be stabilized by the dipolar
interactions. We determine the RG flow of the corresponding
Landau-Ginzburg-Wilson theory by exploiting two fixed-dimension perturbative
schemes: the massive zero-momentum scheme and the minimal-subtraction scheme
without $\epsilon$ expansion. The analysis of the corresponding six-loop and
five-loop series shows the presence of a stable fixed point in the relevant
coupling region. Therefore, we predict the transition to be continuous. We also
compute critical exponents. The specific-heat exponent $\alpha$ is estimated as
$\alpha = 0.20(15)$, while the magnetic susceptibility and magnetization
exponents $\gamma_H$ and $\beta_H$ for Helium 3 are $\gamma_H = -0.34(5)$,
$\beta_H = 1.07(9)$.
