Abstract
We study the new relation [B. A. Kniehl and A. V. Kotikov, arXiv:1702.03193.] between the anomalous dimensions, resummed through next-to-next-to-leading logarithmic order, in the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations for the first Mellin moments ${D}_{q,g}({\ensuremath{\mu}}^{2})$ of the fragmentation functions, which correspond to the average multiplicities of hadrons in jets initiated by quarks and gluons, respectively. This relation is shown to lead to probabilistic properties of the properly rescaled parton jet multiplicities obtained from standard ones by extracting the quark and gluon ``color charges'' ${C}_{F}$ and ${C}_{A}$, respectively.
Highlights
The broad and elegant concept of supersymmetry (SUSY) is currently manifested in various branches of physics
As noted in [23] pioneering the next-to-next-to-leading order (NNLO) approximation, the results found in Ref. [24] do not match the results computed at a fixed order, which is not surprising, because the two computations were performed in two different regularization and factorization schemes, namely the massive gluon (MG) and the MS
Below we demonstrate the basic ideas of the resummation of the fragmentation functions, which is important near its first Mellin moment
Summary
The broad and elegant concept of supersymmetry (SUSY) is currently manifested in various branches of physics For high energies, it is pronounced in the properties of QCD supersymmetric extension rather than in the existence of supersymmetric partners. It is pronounced in the properties of QCD supersymmetric extension rather than in the existence of supersymmetric partners This corresponds to the SUSY-related properties of evolution kernels [1] discovered some time ago [2]. The notion of fragmentation functions (FFs) Daðx; μ2Þ [hereafter, (a 1⁄4 q, g)], where μ is the factorization scale, was involved during the study of the inclusive production of single hadrons Their μ2 dependence is governed by the timelike Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations [1,2], μ2
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
