Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension

Abstract

We present a factorization formula for the production of pairs of heavy coloured particles in hadronic collisions at the production threshold, which forms the basis for the resummation of soft gluons and Coulomb gluons. We construct a basis in colour space that diagonalizes the soft function appearing in the factorization formula to all orders in perturbation theory. This extends recent results on the structure of soft anomalous dimensions and allows us to determine an analytic expression for the two-loop soft anomalous dimension at threshold for all production processes of interest.

36 pages, LaTeX, 2 figures. v2 matches published version (improved discussion of NNLL resummation, note added on work by Ferroglia et al.)

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