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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 | Affiliation: | IPPP, University of Durham, UK), C.J. Maxwell (IPPP, University of Durham, UK | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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