Mean, median and mode of hadron spectrum in QCD jets

We present predictions of the three common statistical measures of the “typical” value of the quantity ξ=ln(1/ x) where x is the momentum fraction of a hadron in a QCD jet. Although the distribution of ξ is asymptotically gaussian, its mean, median and mode (or peak) should differ by constants plus...

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Bibliographic Details
Published inPhysics letters. B Vol. 273; no. 3; pp. 319 - 322
Main Authors Dokshitzer, Yu.L., Khoze, V.A., Fong, C.P., Webber, B.R.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 19.12.1991
Elsevier Science
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
Hadrons
Quantum chromodynamic
Dynamics
Mode of operation
Prediction
Gaussian distribution
Median
Spectrum
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Summary:We present predictions of the three common statistical measures of the “typical” value of the quantity ξ=ln(1/ x) where x is the momentum fraction of a hadron in a QCD jet. Although the distribution of ξ is asymptotically gaussian, its mean, median and mode (or peak) should differ by constants plus corrections of order α s . An experimental study of these quantities would provide a detailed test of the underlying QCD dynamics of jet fragmentation.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(91)91691-N