  We studies the high energy elastic scattering of quark anti-quark with an
exchange of a mesonic state in the $t$ channel with $-t/\Lambda^{2} \gg 1$.
Both the normalization factor and the Regge trajectory can be calculated in
PQCD in cases of fixed (non-running) and running coupling constant. The
dependence of the Regge trajectory on the coupling constant is highly
non-linear and the trajectory is of order of $0.2$ in the interesting physical
range.
