Corrections to Angular Ordering in Multiple Hadroprodroproduction

Abstract

One of the key ideas in describing the multiparticle production at high energies in the perturbative QCD is the angular ordering in successive soft-gluon emission. We analyse the angular distribution of particles in a jet, and investigate the corrections to the angular ordering. At a small angle from the jet direction, the angular ordering is exact at the next-to-leading order. At a large angle, the angular ordering overestimates the angular particle density by a factor $(1-{\hat{I}}^3\ln {\cos }^2(\hat{I}¸/2))$, where ${\hat{I}}^3$ is the anomalous dimension of the multiplicity. The $O({\hat{I}}^3)$ correction restores the boost invariance of the cross section.

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