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.

10 pages, 7 figures

References in corpus (4)

• Dynamical parton distributions of the nucleon and very small-x physics
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• Charm and longitudinal structure functions with the Kharzeev-Levin-Nardi model
• Analytic Approach to the Approximate Solution of the Independent DGLAP Evolution Equations with Respect to the Hard-Pomeron Behavior

Cited by in corpus (11)

• Top structure function at the LHeC
• The ratio of the beauty structure functions $R^b=F_L^b/F_2^b$ at low x
• Geometrical scaling in charm structure function ratios
• A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior
• Nuclear longitudinal structure function in eA processes at the LHeC
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• The exponent of the longitudinal structure function $F_L$ at low $x$
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Heavy quarks structure functions $F_2^{q\bar{q}}(x,Q^2)$ and $F_L^{q\bar{q}}(x,Q^2)$ at the NLO approximation
• Influence of gluon behavior on heavy-quark pair production
• Geometrical scaling of heavy-quark contributions in the low $x$ region