TY - JOUR

T1 - A prediction for the 4-loop β function in QCD

AU - Ellis, John

AU - Karliner, Marek

AU - Samuel, Mark A.

N1 - Funding Information:
This research was supportedb y the Israel Science Foundation administered by the Israel Academy of Sciences and Humanities, and by a Grant from the G.I.F., the German-Israeli Foundation for Scientific Research and Development. This work was also sup-portedb y the US Departmento f Energy under contract No. DE-AC03-76F00515 and grant No. DE-FGOS-84ER40215.

PY - 1997/5/8

Y1 - 1997/5/8

N2 - We predict that the four-loop contribution β3 to the QCD β function in the MS̄ prescription is given by β3 ≃ 23600(900) -6400(200) Nf + 350(70) N2f + 1.5N3f, where Nf is the number of flavours and the coefficient of N3f is an exact result from large-Nf expansion. In the phenomenologically-interesting case Nf = 3, we estimate β3 = (7.6 ± 0.1) × 103. 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) Φ4 theory, and on variations in the details of our estimation method, which goes beyond conventional Padé approximants by estimating and correcting for subasymptotic deviations from exact results.

AB - We predict that the four-loop contribution β3 to the QCD β function in the MS̄ prescription is given by β3 ≃ 23600(900) -6400(200) Nf + 350(70) N2f + 1.5N3f, where Nf is the number of flavours and the coefficient of N3f is an exact result from large-Nf expansion. In the phenomenologically-interesting case Nf = 3, we estimate β3 = (7.6 ± 0.1) × 103. 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) Φ4 theory, and on variations in the details of our estimation method, which goes beyond conventional Padé approximants by estimating and correcting for subasymptotic deviations from exact results.

UR - http://www.scopus.com/inward/record.url?scp=0039386413&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(97)00342-0

DO - 10.1016/S0370-2693(97)00342-0

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AN - SCOPUS:0039386413

SN - 0370-2693

VL - 400

SP - 176

EP - 181

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -