Erratum: QCD coupling constant at next-to-next-to-leading order from DIS data [Phys. Rev. D81, 034008 (2010)]

Abstract

Deep inelastic scattering data on F 2 structure function from the various fixed-target experiments were analyzed in the non-singlet approximation with a next-to-next-to-leadingorder accuracy. The study of high statistics deep inelastic scattering data provided by BCDMS, SLAC, NMC and BFP collaborations was carried out separately for the first one and the rest, followed by a combined analysis done as well. For the coupling constant the following value α s (M 2 Z ) = 0.1167 ± 0.0021(total exp.error) + +0.0056 −0.0036 (theor) was found, which in this approximation turns out to be slightly less than that obtained at the next-to-leading-order, as was generally anticipated. Ditto the theoretical uncertainties reduced with respect to those obtained in the case of the next-to-leading-order analysis thus confirming earlier observations. P ACS : 12.38 Aw, Bx, Qk

Analytic and “frozen” coupling constants in QCD up to NNLO from DIS data

“…This paper closely follows those devoted to the similar studies performed in [2,3]. We analyze DIS SF F 2 (x, Q 2 ) with SLAC, NMC and BCDMS experimental data involved [4]- [9] 1 up to the next-to-next-to-leading-order (NNLO) of massless perturbative QCD.…”

“…Furthermore, we will designate a (2) s (Q 2 ) as a s (Q 2 ) to simplify notation, as it is the NNLO approximation that is of special interest in the present analysis.…”

“…A numeric procedure of data fitting is described in the previous papers [2,3]. Here we just recall some aspects of the so-called polynomial expansion method.…”

“…Analysis is also performed for the SF slope D that serves the purpose of checking the properties of fits (for more details see [2]). We use free normalizations of the data for different experiments.…”

The polarized nonsinglet $\Delta q_3$ and nonsinglet fragmentation function $D^{\pi^{+}}_{u_v}$ in the analytic approach to QCD

“…It should be noted that the application of the APT to QCD analysis of DIS data required a generalization of the analytic approach to the case of non-integer power of QCD running coupling. Such a generalization [4,5], for example, was applied to analyze the F 2 (x, Q 2 ) structure function behavior at small x-values [6,7] and to analyze the low energy data on nucleon spin sum rules Γ p,n…”