How to Sum Contributions into the Total Charged-Current Neutrino-Nucleon Cross Section

The total charged-current (anti)neutrino-nucleon cross section is usually estimated by the sum of contributions from quasi-elastic scattering (QES), single-pion production through baryon resonances (RES), and deep inelastic scattering (DIS) with an appropriate scratching the phase space of the RES and DIS contributions. However the resulting total cross section is very sensitive to the value of the cut-off in invariant mass of the final hadron system produced in RES and DIS. We examine available experimental data on the QES and total CC cross sections in order to extract the best-fit value for this cut-off. By using the same data set we attempt to adjust the poorly known values of the axial mass for QES and RES