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

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

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 Dq,g(μ2) of the quark and gluon fragmentation functions, which cor...

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Main Author: Kotikov Anatoly
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201819104006
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spelling doaj-cd882628b1e1499aab868005b4d664512021-08-02T08:41:46ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011910400610.1051/epjconf/201819104006epjconf_quarks2018_04006SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicitiesKotikov AnatolyWe 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 Dq,g(μ2) of the quark and gluon fragmentation functions, which correspond to the average hadron multiplicities in jets initiated by quarks and gluons, respectively. So far, such relationships have only been known from supersymmetric (SUSY) QCD. Exploiting available next-to-nextto- next-to-leading-order (NNNLO) information on the ratio D+g (μ2)=D+q (μ2) of the dominant plus components, the fit of the world data of Dq,g(μ2) for charged hadrons measured in e+e- annihilation leads to α(5)s (MZ) = 0:1205 +0:0016 -0:0020.https://doi.org/10.1051/epjconf/201819104006
collection DOAJ
language English
format Article
sources DOAJ
author Kotikov Anatoly
spellingShingle Kotikov Anatoly
SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
EPJ Web of Conferences
author_facet Kotikov Anatoly
author_sort Kotikov Anatoly
title SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
title_short SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
title_full SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
title_fullStr SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
title_full_unstemmed SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
title_sort susy-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description 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 Dq,g(μ2) of the quark and gluon fragmentation functions, which correspond to the average hadron multiplicities in jets initiated by quarks and gluons, respectively. So far, such relationships have only been known from supersymmetric (SUSY) QCD. Exploiting available next-to-nextto- next-to-leading-order (NNNLO) information on the ratio D+g (μ2)=D+q (μ2) of the dominant plus components, the fit of the world data of Dq,g(μ2) for charged hadrons measured in e+e- annihilation leads to α(5)s (MZ) = 0:1205 +0:0016 -0:0020.
url https://doi.org/10.1051/epjconf/201819104006
work_keys_str_mv AT kotikovanatoly susylikerelationofthesplittingfunctionsinevolutionofgluonandquarkjetmultiplicities
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