NLO corrections to the hard pomeron behavior of the charm structure functions $F_k^c(k=2,L)$ at low x

Abstract

We show that the charm structure functions $F_k^c$ have a hard pomeron behavior at low x, as the gluon distribution is dominated by the hard (Lipatov) pomeron at small x and all $Q^2$ values. It is shown that the charm structure functions obtained, using the gluon distribution functions, are in agreement with data from HERA in the next-to-leading analysis (NLO). Having checked that this behavior gives the charm structure functions exponent independent of x. With respect to the hard (Lipatov) pomeron for the low-x gluon distribution, we provide a compact formula for the ratio $R^c=F_L^c/F_2^c$ that is approximately independent of x at low x and its independent of the input gluon distribution function at all $Q^2$ values.

Comments: 10 pages, 7 figures