A prediction for the 4-loop {beta} function in QCD
- Theoretical Physics Division, CERN, CH-1211Geneva23 (Switzerland) Karliner, Marek [School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Aviv University, 69978Tel-Aviv (Israel) Samuel, Mark A. [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 {ovr MS} prescription is given by {beta}{sub 3}{approx_equal}23,600(900){minus}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{plus_minus}0.1){times}10{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 Pad{acute e} approximants by estimating and correcting for subasymptotic deviations from exact results. {copyright} {ital 1997 American Institute of Physics.}
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC03-76SF00515; FG05-85ER40215
- OSTI ID:
- 678813
- Report Number(s):
- CONF-9704155-; ISSN 0094-243X; TRN: 99:009259
- Journal Information:
- AIP Conference Proceedings, Vol. 415, Issue 1; Conference: 5. beyond the standard model V, Balholm (Norway), 29 Apr - 4 May 1997; Other Information: PBD: Jun 1997
- Country of Publication:
- United States
- Language:
- English
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