The Ratio of the Charm Structure Functions $F_k^c(k=2,L)$ at Low x in Deep Inelastic Scattering with Respect to the Expansion Method

Abstract

We study the expansion method for the gluon distribution function at low x values and calculate the charm structure functions in the LO and NLO analysis. Our results provide a compact formula for the ratio $R^c=F_L^c/F_2^c$, which is approximately independent of x and the details of the parton distribution function at low x values. This ratio could be a good probe of the charm structure function $F_2^c$ in the proton deduced from the reduced charm cross sections at DESY HERA. These results show that the charm structure functions obtained are in agreement with HERA experimental data and other theoretical models.

9 pages,6 figures

References in corpus (2)

• Heavy-quark contributions to the ratio F_L/F_2 at low x
• Charm and longitudinal structure functions with the Kharzeev-Levin-Nardi model

Cited by in corpus (9)

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• 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
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• 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 $x$
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Influence of gluon behavior on heavy-quark pair production
• 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