Abstract
For the case of n-jet production at next-to-next-to-leading order in the QCD coupling, in the infrared divergent corners of phase space where particles are collinear or soft, one must evaluate ( n+1)-parton final-state one-loop amplitudes through O(ϵ 2) , where ϵ is the dimensional regularization parameter. For the case of gluons, we present to all orders in ϵ the required universal functions which describe the behavior of one-loop amplitudes in the soft and collinear regions of phase space. An explicit example is discussed for three-parton production in multi-Regge kinematics that has applications to the next-to-leading logarithmic corrections to the BFKL equation.
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