A prediction for the 4-loop {beta} function in QCD
- Theoretical Physics Division, CERN, CH-1211 Geneva 23 (Switzerland)
- School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69978 Tel-Aviv (Israel)
- Department of Physics, McGill University, Montreal. P.Q. (Canada)
We predict that the four-loop contribution {beta}{sub 3} to the QCD {beta} function in the MS prescription is given by {beta}{sub 3}{approx_equal}23,600(900)-6,400(200)N{sub f}+350(70)N{sub f}{sup 2}+1.5N{sub f}{sup 3}, where N{sub f} is the number of flavours and the coefficient of N{sub f}{sup 3} is an exact result from large-N{sub f} expansion. In the phenomenologically-interesting case N{sub f}=3, we estimate {beta}{sub 3}=(7.6{+-}0.1)x10{sup 3}. We discuss our estimates of the errors in these QCD predictions, basing them on the demonstrated accuracy of our method in test applications to the O(N) {phi}{sup 4} theory, and on variations in the details of our estimation method, which goes beyond conventional Pade approximants by estimating and correcting for subasymptotic deviations from exact results.
- OSTI ID:
- 21179575
- Journal Information:
- AIP Conference Proceedings, Vol. 415, Issue 1; Conference: Workshop on beyond the standard model, Balholm (Norway), 29 Apr - 4 May 1997; Other Information: DOI: 10.1063/1.54458; (c) 1997 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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