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SUSY-Like Relation in Evolution of Gluon and Quark Jet Multiplicities

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Abstract

We show the new relationship [1] between the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, in the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations for the first Mellin moments \({{D}_{{q,g}}}({{\mu }^{2}})\) of the quark and gluon fragmentation functions, which correspond to the average hadron multiplicities in jets initiated by quarks and gluons, respectively. This relationship, which is independent of the number of quark flavors, strongly improves previous treatments by allowing for an exact solution of the evolution equations. So far, such relationships have only been known from supersymmetric QCD.

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ACKNOWLEDGMENTS

This research was supported in part by the German Research Foundation under Grant no. KN 365/5-3, by the Russian Foundation for Basic Research under Grant no. 16-02-00790-a, and by the Heisenberg-Landau Programme.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik, Universität Hamburg, 22761, Hamburg, Germany

    B. A. Kniehl

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    A. V. Kotikov

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  1. B. A. Kniehl
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  2. A. V. Kotikov
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Correspondence to A. V. Kotikov.

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Kniehl, B.A., Kotikov, A.V. SUSY-Like Relation in Evolution of Gluon and Quark Jet Multiplicities. Phys. Part. Nuclei 49, 921–923 (2018). https://doi.org/10.1134/S1063779618050258

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  • DOI: https://doi.org/10.1134/S1063779618050258

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