  We present a detailed analysis of the factorization and all-order resummation
of the double-logarithmic radiative corrections which determine the asymptotic
behavior of the gauge theory amplitudes suppressed by the leading power of the
fermion mass in the limit of high-energy fixed-angle scattering. The result is
applied to estimate the bottom quark mediated contribution to the Higgs boson
production in gluon fusion.
