Measurement of $x{F}_3$ and $F_2$ Structure Functions in Low $Q^2$ Region with the IHEP-JINR Neutrino Detector

Abstract

The isoscalar structure functions $x{F}_3$ and $F_2$ are measured as functions of $x$ averaged over all $Q^2$ permissible for the range of 6 to 28 GeV of incident neutrino (anti-neutrino) energy at the IHEP-JINR Neutrino Detector. The QCD analysis of $x{F}_3$ structure function provides ${\Lambda }_{\overline{MS}}^{(4)}=(411\pm 200)$ MeV under the assumption of QCD validity in the region of low $Q^2$. The corresponding value of the strong interaction constant ${\alpha }_S(M_Z)=0.123_{-0.013}^{+0.010}$ agrees with the recent result of the CCFR collaboration and with the combined LEP/SLC result.

Comments: 11 pages, 1 Postscript figure, LaTeX. Talk given at the 7th International Workshop on Deep Inelastic Scattering and QCD (DIS 99), Zeuthen, Germany, 19-23 Apr 1999