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On-shell recurrence relations for one-loop QCD amplitudes

On-shell recurrence relations for one-loop QCD amplitudes

We present examples of on-shell recurrence relations for determining rational functions appearing in one-loop QCD amplitudes. In particular, we give relations for one-loop QCD amplitudes with all legs of positive helicity, or with one leg of negative helicity and the rest of positive helicity. Our recurrence relations are similar to …