Deep-inelastic scattering and the value of $α_s$
The brief overview of the definite determinations of the QCD coupling constant $α_s$ from the characteristics of deep-inelastic scattering processes is given.
arXiv subjects
Publications and source records attributed to Andrei L. Kataev.
The brief overview of the definite determinations of the QCD coupling constant $α_s$ from the characteristics of deep-inelastic scattering processes is given.
The brief discussion of the studies of the radiative QCD corrections to the decay widths and branching ratios of the Standard Model Higgs boson with the mass 2 m_b < M_H < 2 M_W is given. The numerical results are obtained with the help of our FORTRAN code SEEHIGGS.
We present the estimates of the five-loop QED corrections to the muon anomaly using the scheme-invariant approaches and demonstrate that they are in good agreement with the results of exact calculations of the corresponding tenth-order diagrams supplemented by the additional guess about the values of the non-calculated contributions.
We describe several problems related to the studies of the effects of radiative QCD corrections in the phenomenological and theoretical considerations thus summarizing the work of the QCD part of the Symposium on "Radiative Corrections: Status and Outlook".
The brief review of the current status of the studies of the effects of the higher-order perturbative QCD corrections to the deep-inelastic sum rules is presented.
We describe the results of our recent work on the determination of the value of the parameter $Λ_{\overline{MS}}^{(4)}$ and of the $Q^2$-dependence of the Gross--Llewellyn Smith (GLS) sum rule from the experimental data of the CCFR collaboration on neutrino--nucleon deep-inelastic scattering, using the Jacobi polynomials QCD analysis. The obtained results are compared with the information, available in the literature, information on the previous experimental measurements of the GLS sum rule.
We present the results of our QCD analysis of the recent CCFR data for the structure function $xF_3 (x,Q^2)$ of the deep-inelastic neutrino--nucleon scattering. The analysis is based on the Jacobi polynomials expansion of the structure functions. The concrete results for the parameter $Λ_{\overline {MS}}^{(4)}$ and the shape of quark distributions are determined. At the reference scale $|Q_0^2|$=3 $GeV^2$ our results are in satisfactory agreement with the ones obtained by the CCFR group with the help of another method. The $Q_0^{2}$-dependence of the experimental data for the Gross--Llewellyn Smith sum rule is extracted in the wide region of high-momentum transfer. Within systematical experimental uncertainties the results obtained are consistent with the perturbative QCD predictions. We reveal the effect of the discrepancy between our results and the analysed perturbative QCD predictions at the level of the statistical error bars. The importance of taking account, in our procedure, of a still unknown next-next-to-leading approximation of the moments of the structure function $xF_3 (x,Q^2)$ is stressed.