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Recursion relations are succinctly obtained for $(++... +)$ and $(-++... +)$amplitudes in the context of the space-cone gauge in QCD. We rely on thehelicity symmetry of the problems to dictate our choices of reference twistorsand the momentum shifts to complexify the amplitudes. Of great importance isthe power of gauge Lorentz invariance, which is enough to determine the softfactors in the latter cases.

The Space-Cone Gauge, Lorentz Invariance and On-Shell Recursion for One-Loop Yang-Mills amplitudes