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.

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@inproceedings{Gehrmann2002AnalyticCO, title={Analytic Continuation of Massless Two-Loop Four-Point Functions}, author={Thomas Gehrmann}, year={2002} }