All-order colour structure and two-loop anomalous dimension of soft radiation in heavy-particle pair production at the LHC
Abstract
We consider the factorization and resummation of soft and Coulomb gluons for pair-production processes of heavy coloured particles at hadron colliders, and discuss: the construction of a colour basis that diagonalizes the leading soft function to all orders in perturbation theory; the determination of the two-loop soft anomalous dimension needed for NNLL resummations; and a general formula that provides all logarithmically enhanced O(alphas2) correction requiring as process-independent input only the one-loop hard matching coefficients.
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