Abstract

A simple heuristic proof of infrared finiteness to all orders of perturbation theory is given for a class of observables in massless field theories including quantum chromodynamics. This class includes the average energy E(Ω) carried into a given solid angular region Ω by final-state particles in e +e − annihilation and its positive integral powers; it also includes energy correlations between different angular regions: E(Ω 1)E(Ω 2) … E(Ω N) . It is argued that appropriately defined inclusive jet cross sections are infrared finite, even for vanishing fractional energy resolutions. Extensions to lepton-hadron and hadron-hadron collisions are described.

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