Evolution of average multiplicities of quark and gluon jets

Abstract

The energy evolution of average multiplicities of quark and gluon jets is studied in perturbative QCD. Higher order (3NLO) terms in the perturbative expansion of equations for the generating functions are found. First and second derivatives of average multiplicities are calculated. The mean multiplicity of gluon jets is larger than that of quark jets and evolves more rapidly with energy. It is shown which quantities are most sensitive to higher order perturbative and nonperturbative corrections. We define the energy regions where the corrections to different quantities are important. The latest experimental data are discussed.

23 pages including 3 figures. Version 2 contains small correction to equation (41)

References in corpus (3)

• Experimental properties of gluon and quark jets from a point source
• The Scale Dependence of the Hadron Multiplicity in Quark and Gluon Jets and a Precise Determination of $C_A/C_F$
• Energy dependence of mean multiplicities in gluon and quark jets at the next-to-next-to-next-to-leading order

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