Color dipole picture and extracting the ratio of structure functions at small x

Abstract

We present a set of formulas to extract the ratio FL(x, Q 2 )/F2(x, Q 2 ) and R(x, Q 2 ) from the F2(x, Q 2 ) parameterization in the next-to-next-to-leading order of the perturbative theory at low x values. The behavior of these ratios studied in comparison with the fixed and effective exponents with respect to the power-law behavior of the proton structure function. The results are compared with the experimental data and the color dipole model bounds. These ratios are in good agreement with the DIS experimental data throughout the fixed value of the invariant mass. The behavior of these ratios controlled by the nonlinear corrections at low values of Q 2 . These results within the next-to-next-to-leading order approximation can be applied in the LHeC region for analyses of ultra-high energy processes in a wide range of Q 2 values.

Nonlinear corrections on the parametrization methods

“…Some studies of the nonlinear behavior of PDFs have been given in Refs. [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] in recent years.…”