Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-09-04
Phys.Lett. B297 (1992) 385-397
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex 19 pages and 4 Postscript figures appended at the end of this file
Scientific paper
10.1016/0370-2693(92)91278-H
We present the next-to-next-to-leading order QCD analysis of the Gross-Llewellyn Smith (GLS) sum rule in deep inelastic lepton-nucleon scattering, taking into account dimension-two, twist-four power correction. We discuss in detail the renormalization scheme dependence of the perturbative QCD approximations, propose a procedure for an approximate treatment of the quark mass threshold effects and compare the results of our analysis to the recent experimental data of the CCFR collaboration. From this comparison we extract the value of the strong coupling constant $\alpha_{s}^{nnl}(M_{Z},\overline{\rm MS})= 0.115\pm0.001(stat)\pm0.005(syst)\pm0.003(twist)\pm0.0005(scheme)$. We stress the importance of an accurate measurement of the GLS sum rule and in particular of its $Q^{2}$ dependence.
Chýla Jiri.
Kataev A.
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