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We consider the factorization and resummation of soft and Coulomb gluons forpair-production processes of heavy coloured particles at hadron colliders, anddiscuss: the construction of a colour basis that diagonalizes the leading softfunction to all orders in perturbation theory; the determination of thetwo-loop soft anomalous dimension needed for NNLL resummations; and a generalformula that provides all logarithmically enhanced O(alpha_s^2) correctionrequiring as process-independent input only the one-loop hard matchingcoefficients.

All-order colour structure and two-loop anomalous dimension of soft radiation in heavy-particle pair production at the LHC