Gunar to Dimiter Stamenov

The average Q2 of these data are given in the data files that can be obtained from http://hermes.desy.de/multiplicities e.g., data set #3, and amounts to 2.45 GeV2.

In Fig. 9 and 10 the parametrizations are actually integrated over both x and Q2 in the accepted x-Q2 range (s. Fig. 2) in order to get the curves that are plotted. In more detail, there are the two functions to be integrated: F2_p(x, Q2) and F2_p_h(x, z, Q2), resp. for the inclusive denominator and the SIDIS numerator.

One has to integrate both functions over x between [0.023, 0.6] to get a z-dependent result. Due to the W2, y and Q2 cuts, each value of x corresponds to a distinct range in Q2, given by:

Q2_min(x) = max( 9.119645654016*x/(1-x) , 1) Q2_max(x) = 44.02372224*x

To get curves that correspond to our data points we finally integrated F2_p and F2_p^h as such:

F2_p_int = \int_{0.023}^{0.6} dx \int_{Q2_min(x)}^{Q2_max(x)} dQ2 F2_p(x,Q2)

F2_p_h_int(z) = \int_{0.023}^{0.6} dx \int_{Q2_min(x)}^{Q2_max(x)} dQ2 F2_p_h(x,z,Q2)

and then M_p_h_LO(z) = F2_p_h_int(z) / F2_p_int.