Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
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In this talk we will consider the radiation of two or more soft partons in QCD hard-scattering at one-loop order. Using regularization in d = 4 - 2epsilon space-time dimensions, we will explicitly show the ultraviolet and infrared divergent (epsilon-pole) terms of the one-loop soft current for emission of an arbitrary number of soft partons in a generic hard-scattering process.
Then we will consider the specific case of soft quark–antiquark (qqbar) emission and we will write the one-loop current by including the finite terms. We will show that the one-loop soft-qqbar current exhibits a new type of transverse-momentum singularity, which has a quantum (absorptive) origin and a purely non-abelian character. At the squared amplitude (cross section) level, this transverse-momentum singularity produces contributions to multijet production processes in hadron collisions.