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The Banks-Zaks expansion in perturbative QCD: an update · Around

2016

The Banks-Zaks expansion in perturbative QCD: an update

Stevenson, P. M.

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The recent QCD calculations of the five-loop beta function and of R(e+e-) to O(alpha_s^4) provide one more term in the Banks-Zaks expansion in (16.5-nf).

There is no longer any hope that the expansion could extend, even crudely, to low nf.
Above nf=9, however, the results appear to be reasonably consistent from order to order.

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L. R. Surguladze and M. A. Samuel, Phys. Rev. Lett. 66
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S. A. Caveny and P. M. Stevenson, hep-ph/9705319 (unpublished)

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P. A. Baikov, K. G. Chetyrkin, and J. H. Kühn, arXiv 1606.08659 [hep-ph]

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P. M. Stevenson, arXiv: 1606.06951 [hep-ph]

Cited in the paper.