AbstractWe use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next to next to leading order. In previous papers, we derived the subtraction terms that rendered (a) the double real radiation tree level process finite in the single and double unresolved regions of phase space and (b) the mixed single real radiation one loop process both finite and well behaved in the unresolved regions of phase space. Here, we show how to construct the double virtual subtraction term using antenna functions with both initial and final state partons which remove the explicit infrared poles present in the two loop amplitude.
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