  The study of collinear behavior for gauge theories in the spacelike region is
of great phenomenological and theoretical importance. We analytically calculate
the two-loop spacelike splitting amplitude for the full color N=4
Super-Yang-Mills theory. The result is derived by two complementary methods
starting from the known amplitude: one is based on a discontinuity analysis,
while the other one is based on analytic continuation. Our result explicitly
shows terms that violate naive factorization. However we show that
factorization is restored at the level of color-summed unpolarized squared
amplitudes at next-to-next-to-next-to leading order. We conjecture that the
two-loop tripole terms in the generalized splitting amplitudes in QCD are
identical to what we obtain in N=4 super Yang-Mills theory.
