Howe, D. M. and Maxwell, C. J. (2002) 'All-orders infrared freezing of Re+e− in perturbative QCD.', Physics letters B., 541 (1-2). pp. 129-134.
We consider the behaviour of the perturbative QCD corrections to the Re+e− ratio, in the limit that the c.m. energy vanishes. Writing , with Qf denoting the electric charge of quark flavour f, we find that for Nf<9 flavours of massless quarks, the perturbative correction to the parton model result smoothly approaches from below the infrared limit , as s→0. Here b=(33−2Nf)/6 is the first QCD beta-function coefficient. This 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.
|Keywords:||Operator product expansion, Total cross-section, Tau-Lepton decay, Renormalization-group analysis, Interval 1350-2400 MEV, To-leading order, Of-mass energies, E&E annihilation, Form-factor, Renormalon resummations.|
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|Publisher Web site:||http://dx.doi.org/10.1016/S0370-2693(02)02192-5|
|Record Created:||18 Dec 2006|
|Last Modified:||19 Aug 2016 16:31|
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