  In future collider experiments at the TeV scale, large logarithmic
corrections originating from massive boson exchange can lead to significant
corrections to observable cross sections. Recently double logarithms of the
Sudakov-type were resummed for spontaneously broken gauge theories and found to
exponentiate. In this paper we use the virtual contributions to the
Altarelli-Parisi splitting functions to obtain the next to leading order kernel
of the infrared evolution equation in the fixed angle scattering regime at high
energies where particle masses can be neglected. In this regime the virtual
corrections can be described by a generalized renormalization group equation
with infrared singular anomalous dimensions. The results are valid for virtual
electroweak corrections to fermions and transversely polarized vector bosons
with an arbitrary number of external lines. The subleading terms are found to
exponentiate as well and are related to external lines, allowing for a
probabilistic interpretation in the massless limit. For $Z$-boson and $\gamma$
final states our approach leads to exponentiation with respect to each
amplitude containing the fields of the unbroken theory. For longitudinal
degrees of freedom it is shown that the equivalence theorem can be used to
obtain the correct double logarithmic asymptotics. At the subleading level,
corrections to the would be Goldstone bosons contribute which should be
considered separately. Explicit comparisons with existing one loop calculations
are made.
