Perturbative Part of the Non-Singlet Structure Function F_2 in the Large-N_F Limit

Abstract

We have calculated $\bar{MS}$ Wilson coefficients and anomalous dimensions for the non-singlet part of the structure function F_2 in the large-N_F limit. Our result agrees with exact two and three loop calculations and gives the leading N_F dependence of the perturbative non-singlet Wilson coefficients to all orders in $α_S$.

Figures (1)

• Figure 1: Graphs $A,B,C$ and $D$ which contribute to the calculation of the perturbative part of $F_2(x,Q^2)$ in the large-$N_F$ limit.