We point out that, since the colliders' initial states (e(+)e(-), pp, p (p)
over bar,...) carry a definite non-Abelian flavor, electroweak radiative c
orrections to inclusive hard cross sections at the TeV scale are affected b
y peculiar Bloch-Nordsieck violating double logs. We recall the setup of so
ft cancellation theorems, and we analyze the magnitude of the noncanceling
terms in the example of electron-positron annihilation into hadrons.