Measurement of the $xF_3$ and $F_2$ structure functions in the low $Q^2$ region with the IHEP-JINR neutrino detector

Abstract.

The isoscalar structure functions $xF_3$ 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 the $xF_3$ structure function yields $\Lambda_{\overline{\mathrm{MS}}}^{(4)} = (411 \pm 200)$ MeV under the assumption of the validity of QCD in the region of low $Q^2$. The corresponding value of the strong interaction constant $\alpha_{\mathrm{S}} (M_Z) = 0.123^{+0.010}_{-0.013}$ agrees with the recent result of the CCFR collaboration and with the combined LEP/SLC result.