  Within the LO QCD parton model of SIDIS with unintegrated quark distribution
and fragmentation functions we study the transverse momentum and azimuthal
dependencies of the double spin asymmetries $A_{LT}$ and $A_{LL}$. For later we
include ${\cal O}(k_{\perp}/Q)$ kinematic corrections, which induce an
azimuthal modulation of the asymmetry, analogous to the Cahn effect in
unpolarized SIDIS. We show that a study of these asymmetries allows to extract
the transverse momentum dependence of the unintegrated helicity distribution
function $g_{1L}^q(x,k_\perp)$ and $g_{1T}^q(x,k_\perp)$.
  This report is based on research published in [1] and [2], where predictions
are given for ongoing COMPASS, HERMES and JLab experiments.
