  As is known from QED, a possible solution to the ghost-pole trouble can be
obtained by imposing the $Q^2$-analyticity imperative. Here, the pole is
compensated by the $\alpha$ non-analytic contribution that results in finite
coupling renormalization.
  We apply this idea to QCD and arrive at the $Q^2$ analytic
$\bar{\alpha}_s(Q)$. This solution corresponds to perturbation expansion, obeys
AF and, due to non-perturbative contribution, has a regular IR behaviour. It
does not contain any adjustable parameter and has a finite IR limit
$\bar{\alpha}_s(0)$ which depends only on group symmetry factors. In the
one-loop approximation it is equal to $4\pi/\beta_0 \simeq 1.40\,$ and turns
out to be surprisingly stable with respect to higher order corrections. On the
other hand, the IR behaviour of our new analytic solution agrees with recent
global low energy experimental estimates of $\bar{\alpha}_s(Q^2)$.
