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

Partonic transverse momenta in soft collisions