Investigation of the ratio σ r F 2 ( Q 2 / s , Q 2 ) in the momentum-space approach

I present a calculation of the ratio σ r F 2 ( x , Q 2 ) in a momentum-space approach using the Block-Durand-Ha parametrization of the proton structure function F 2 ( x , Q 2 ) . The results are compared with the H1 data and extended to high inelasticity. I also examine the ratio σ r F 2 ( Q 2 s , Q 2 ) obtained at a fixed s and Q 2 to the minimum value of x given by Q 2 / s , comparing them with both the HERA data and the color dipole model bounds. These results and comparisons with HERA data demonstrate that the suggested method for the ratio σ r F 2 can be applied in analyses of the CERN Large Hadron Collider and Future Circular Collider projects. The effect of adding a simple higher twist term of the form F 2 * H 2 / Q 2 to the description of the ratio σ r F 2 ( Q 2 s , Q 2 ) at low- x and low- Q 2 values for comparison with the color dipole bounds and the HERA data is investigated.