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29 March 2024
 
  » arxiv » hep-ph/0204036

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All-orders infra-red freezing of R(e+e-) in perturbative QCD
D.M. Howe ; C.J. Maxwell ;
Date 3 Apr 2002
Journal Phys.Lett. B541 (2002) 129-134
Subject hep-ph
AffiliationIPPP, University of Durham, UK), C.J. Maxwell (IPPP, University of Durham, UK
AbstractWe consider the behaviour of the perturbative QCD corrections to the R(e+e-) ratio in the limit that the c.m. energy sqrt(s) vanishes. We find that for N(f)<9 flavours of massless quarks, the perturbative correction to the parton model result freezes to the infra-red limit 2/b as s-->0. Here b=(33-2N(f))/6 is the first QCD beta-function coefficient. The freezing holds to all-orders in perturbation theory. The s-dependence can be written analytically in closed form in terms of the Lambert W function.
Source arXiv, hep-ph/0204036
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