Jet cross sections at leading double logarithm in e+e− annihilation
Review articleOpen access

AbstractWe examine the leading double logarithm structure in the calculation of jet fractions using the JADE algorithm, based on a jet-jet mass cut ys. We find that there is no simple formula allowing us to explicitly sum these logarithms, a necessary procedure if we are to apply perturbation theory in the region y⪡1 where these double logarithms are large. This casts doubt on the usefulness of such an algorithm for comparing the predictions of perturbative QCD with the experimental measurements at small y.

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