  The partonic transverse momentum, k_t distribution plays a crucial role in
driving high-energy hadron interactions. If k_t is limited we have old
fashioned Regge Theory. If k_t increases with energy the interaction may be
described by perturbative QCD. We use BFKL diffusion in ln k_t, supplemented by
a stronger absorption of low k_t partons, to estimate the growth of the mean
transverse momenta <k_t> with energy. This growth reveals itself in the
distribution of secondaries produced at the collider energies. We present a
simple, BFKL-based, model to demonstrate the possible size of the effect.
Moreover, we propose a way to evaluate experimentally the shape of the parton
transverse momenta distribution by studying the spectra of the (D or B) mesons
which contain one heavy quark.
