Analytic continuation of massless two-loop four-point functions

We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like 1 --> 3 decay to Minkowskian regions relevant to all 1 --> 3 and 2 --> 2 reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix elements for hadronic vector-boson-plus-jet production and deep inelastic two-plus-one-jet production, from results previously obtained for three-jet production in electron-positron annihilation. (C) 2002 Elsevier Science B.V. All rights reserved.