SUSY-like relation in evolution of gluon and quark jet multiplicities

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}(\mu2) 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.

4 pages, talk given at the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2017), July 31 - August 5, 2017 and the IVth Russian-Spanish Congress "Particle, Nuclear, Astroparticle Physics and Cosmology", September 4 - 8, 2017

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• Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
• Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
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Cited by in corpus (1)

• SUSY, Casimir scaling and probabilistic properties of gluon and quark jets evolution